Finite Group Databasebeta

← #6697160

Subgroups — #6697160

Order 512.

2041 conjugacy classes of subgroups.

The subgroup lattice has 1528 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39396C211yesmaximal, characteristic, complemented
2#36289C211yesmaximal, characteristic, complemented
3#33080C211yesmaximal, characteristic, complemented
4#32681C211yesmaximal, characteristic, complemented
5#32623C211yesmaximal, characteristic, complemented
6#32207C211yesmaximal, characteristic, complemented
7#32072C211yesmaximal, characteristic, complemented
8#31322C211yesmaximal, characteristic, complemented
9#31261C211yesmaximal, characteristic, complemented
10#30919C211yesmaximal, characteristic, complemented
11#30539C211yesmaximal, characteristic, complemented
12#30342C211yesmaximal, characteristic, complemented
13#30038C211yesmaximal, characteristic, complemented
14#28983C211yesmaximal, characteristic, complemented
15#28930C211yesmaximal, characteristic, complemented
16#27539C211yesmaximal, characteristic, complemented
17#27240C211yesmaximal, characteristic, complemented
18#26738C211yesmaximal, characteristic, complemented
19#25946C211yesmaximal, characteristic, complemented
20#25168C211yesmaximal, characteristic, complemented
21#25168C211yesmaximal, characteristic, complemented
22#24913C211yesmaximal, characteristic, complemented
23#24526C211yesmaximal, characteristic, complemented
24#24424C211yesmaximal, characteristic, complemented
25#24354C211yesmaximal, characteristic, complemented
26#24347C211yesmaximal, characteristic, complemented
27#23848C211yesmaximal, characteristic, complemented
28#22858C211yesmaximal, characteristic, complemented
29#22436C211yesmaximal, characteristic, complemented
30#22395C211yesmaximal, characteristic, complemented
31#21503C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×#554C2211yescharacteristic, complemented
34C2×D42C2211yescharacteristic
35C2×#538—21no—
36C2×#490C2211yescharacteristic, complemented
37C2×#478C2211yescharacteristic, complemented
38C2×#466C2211yescharacteristic, complemented
39C2×#459C2211yescharacteristic
40C2×#459C2211yescharacteristic
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#447C2211yescharacteristic, complemented
46C2×#442C2211yescharacteristic
47C2×#442C2211yescharacteristic
48C2×#442C2211yescharacteristic, complemented
49C22×#102C2211yescharacteristic, complemented
50#2860C2211yescharacteristic, complemented
51#2858C2211yescharacteristic, complemented
52#2850—21no—
53#2730—21no—
54#2703—21no—
55#2685—21no—
56#2678—21no—
57#2636—21no—
58#2563C2211yescharacteristic
59#2548C2211yescharacteristic, complemented
60#2548C2211yescharacteristic, complemented
61#2538C2211yescharacteristic, complemented
62#2504—21no—
63#2501C2211yescharacteristic, complemented
64#2496C2211yescharacteristic, complemented
65#2490C2211yescharacteristic
66#2490C2211yescharacteristic
67#2490C2211yescharacteristic, complemented
68#2490C2211yescharacteristic, complemented
69#2472—21no—
70#2472—21no—
71#2472—21no—
72#2472—21no—
73#2456—21no—
74#2435—21no—
75#2433C2211yescharacteristic, complemented
76#2428C2211yescharacteristic, complemented
77#2428C2211yescharacteristic, complemented
78#2422C2211yescharacteristic, complemented
79#2418—21no—
80#2416C2211yescharacteristic
81#2408C2211yescharacteristic
82#2361C2211yescharacteristic, complemented
83D4×C22⋊C4C2211yescharacteristic
84D4×C22⋊C4C2211yescharacteristic
85D4×C22⋊C4C2211yescharacteristic, complemented
86D4×C22⋊C4C2211yescharacteristic, complemented
87D4×C22⋊C4C2211yescharacteristic, complemented
88C4×#127C2211yescharacteristic, complemented
89C4×#124C2211yescharacteristic
90C2×#390—21no—
91C42×D4C2211yescharacteristic, complemented
92#2094C2211yescharacteristic, complemented
93#2077C2211yescharacteristic, complemented
94#2077C2211yescharacteristic, complemented
95#2077C2211yescharacteristic, complemented
96#2071C2211yescharacteristic, complemented
97#2071C2211yescharacteristic, complemented
98#2071C2211yescharacteristic, complemented
99#2065C2211yescharacteristic, complemented
100#2065C2211yescharacteristic, complemented
101#2065C2211yescharacteristic, complemented
102#2059C2211yescharacteristic, complemented
103#2058C2211yescharacteristic, complemented
104#2054C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2033C2211yescharacteristic
116#2025C2211yescharacteristic, complemented
117#2025C2211yescharacteristic, complemented
118#2025C2211yescharacteristic, complemented
119#2023C2211yescharacteristic, complemented
120#2023C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2011C2211yescharacteristic
123#2011C2211yescharacteristic
124#2011C2211yescharacteristic, complemented
125#2011C2211yescharacteristic, complemented
126#2011C2211yescharacteristic, complemented
127#2011C2211yescharacteristic, complemented
128#2011C2211yescharacteristic, complemented
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1992C2211yescharacteristic, complemented
133#1989C2211yescharacteristic, complemented
134#1985C2211yescharacteristic, complemented
135#1985C2211yescharacteristic, complemented
136#1982C2211yescharacteristic, complemented
137#1972C2211yescharacteristic, complemented
138#1972C2211yescharacteristic, complemented
139#1972C2211yescharacteristic, complemented
140#1972C2211yescharacteristic, complemented
141#1972C2211yescharacteristic, complemented
142#1948C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1926C2211yescharacteristic, complemented
151#1926C2211yescharacteristic, complemented
152#1925C2211yescharacteristic, complemented
153#1924C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1924C2211yescharacteristic, complemented
157#1921C2211yescharacteristic, complemented
158#1920C2211yescharacteristic, complemented
159#1919C2211yescharacteristic, complemented
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1893C2211yescharacteristic, complemented
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1850C2211yescharacteristic, complemented
187#1850C2211yescharacteristic, complemented
188#1839C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1807C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1767C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×D8—24no—
208C22×D8—42no—
209C22×D8—42no—
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#554—42no—
222#554—42no—
223D42—42no—
224D42—42no—
225#538—48no—
226C2×C4⋊Q8C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#126—21no—
231C2×#126—21no—
232C2×#125C2311yescharacteristic
233C2×#125C2311yescharacteristic
234C2×#124—21no—
235C2×#124—21no—
236C2×#124—21no—
237C2×#124—21no—
238C2×#124D411yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×C4×Q8C2311yescharacteristic
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C22×C4⋊C4—21no—
275C22×C4⋊C4C2311yescharacteristic
276C22×C22⋊C4—21no—
277C22×C22⋊C4—21no—
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C42—21no—
282#490—42no—
283#478—42no—
284#466—42no—
285#459—24no—
286#459—42no—
287#447—24no—
288#447—42no—
289#447—42no—
290#447—42no—
291#447—42no—
292#442—42no—
293#442—42no—
294#442—42no—
295C2×#107C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×#102—42no—
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×#97C2311yescharacteristic
347#400—21no—
348#399—21no—
349#399—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#396—21no—
357#396—21no—
358#396—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#393—21no—
373#393—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#391D411yescharacteristic
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390—21no—
385#390—21no—
386#390—21no—
387#390—21no—
388#390—21no—
389#390—21no—
390#390—21no—
391#390D411yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388D411yescharacteristic
421#388D411yescharacteristic
422#388D411yescharacteristic
423#388D411yescharacteristic
424#387—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#385—21no—
440#385—21no—
441#384C2311yescharacteristic
442#384C2311yescharacteristic
443#382—21no—
444#382D411yescharacteristic
445#380—21no—
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#379—21no—
453#379—21no—
454#379—21no—
455#379—21no—
456#379—21no—
457#379—21no—
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C4×C22⋊C4C2311yescharacteristic
468C4×C22⋊C4C2311yescharacteristic
469C43C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C25—21no—
502C25—21no—
503C22×Q8—21no—
504C22×Q8C2×D411yescharacteristic
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—44no—
539C22×D4—44no—
540C22×D4—82no—
541C22×D4C2×D411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C2×D8—22no—
560C2×D8—22no—
561C2×D8—22no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—22no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—416no—
586C2×D8#4114yes—
587C22×C8—22no—
588C22×C8—41no—
589C22×C8—41no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8—41no—
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C4⋊Q8—41no—
602C4⋊Q8—41no—
603#127—22no—
604#127—41no—
605#127—41no—
606#127—41no—
607#127—41no—
608#127—41no—
609#126—44no—
610#126—44no—
611#125—22no—
612#125—22no—
613#125—41no—
614#125—41no—
615#124—24no—
616#124—44no—
617#124—82no—
618#124—82no—
619#124—82no—
620#123—44no—
621#123—44no—
622#123—82no—
623C22⋊Q8—44no—
624C22⋊Q8—44no—
625C22⋊Q8—44no—
626C22⋊Q8—44no—
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—44no—
636#121—44no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—41no—
643#120—44no—
644#120—44no—
645#120—44no—
646#120—44no—
647#120—82no—
648C4×Q8—41no—
649C4×Q8—41no—
650C4×D4—22no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—22no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—44no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—44no—
670C4×D4—82no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—44no—
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
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—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—44no—
755C2×C22⋊C4—82no—
756C2×C22⋊C4—82no—
757C2×C22⋊C4—82no—
758C2×C22⋊C4—82no—
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—82no—
774C2×C42C2×D411yescharacteristic
775C2×C42C2×D411yescharacteristic
776C2×C42C2×D411yescharacteristic
777C2×C42C2×D411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783#107—22no—
784#106—41no—
785#106—41no—
786#106—41no—
787#106—41no—
788#106—41no—
789#106—41no—
790C4⋊C8—22no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824C22⋊C8—22no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830#97—41no—
831#97—41no—
832#97—41no—
833#97—41no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—42no—
867C24—42no—
868C24—42no—
869C24—42no—
870C24—42no—
871C24—42no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885C2×Q8—22no—
886C2×Q8—41no—
887C2×Q8—41no—
888C2×Q8—42no—
889C2×Q8—81no—
890C2×Q8—81no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
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—44no—
942C2×D4—44no—
943C2×D4—44no—
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—81no—
954C2×D4—81no—
955C2×D4—81no—
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—82no—
965C2×D4—82no—
966C2×D4—82no—
967C2×D4—82no—
968C2×D4—82no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—816no—
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×D4AGL(1,ℤ/8)14yes—
984C2×D4C2×#4112yes—
985C2×D4C2×#4112yes—
986C2×D4H(5,𝔽2)12yes—
987C2×D4H(5,𝔽2)12yes—
988C22×C4—24no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
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×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C2511yescharacteristic
1050D8—28no—
1051D8—44no—
1052D8—44no—
1053D8—44no—
1054D8—44no—
1055D8—82no—
1056D8—82no—
1057D8—82no—
1058D8—82no—
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—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—44no—
1083C2×C8—82no—
1084C2×C8C2×#4112yes—
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—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—41no—
1107C4⋊C4—41no—
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—42no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4H(5,𝔽2)12yes—
1123C22⋊C4—24no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C42—22no—
1186C42—22no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—41no—
1198C42—41no—
1199C42—42no—
1200C42—42no—
1201C42—81no—
1202C42—81no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—22no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—21no—
1212C23—21no—
1213C23—22no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—22no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—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—84no—
1258C23—84no—
1259C23—84no—
1260C23—84no—
1261C23—84no—
1262C23—84no—
1263C23—84no—
1264C23—84no—
1265C23—84no—
1266C23—84no—
1267C23—162no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23—162no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23C2×AGL(1,ℤ/8)12yes—
1279C23C2×AGL(1,ℤ/8)12yes—
1280C23C23×D411yescharacteristic
1281Q8—82no—
1282Q8—162no—
1283D4—22no—
1284D4—22no—
1285D4—22no—
1286D4—22no—
1287D4—22no—
1288D4—44no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—84no—
1308D4—84no—
1309D4—84no—
1310D4—84no—
1311D4—84no—
1312D4—84no—
1313D4—84no—
1314D4—84no—
1315D4—84no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322D4#53814yescomplemented
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—22no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—48no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—84no—
1397C2×C4—84no—
1398C2×C4—162no—
1399C2×C4—162no—
1400C2×C4—162no—
1401C2×C4—162no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4C2×AGL(1,ℤ/8)12yes—
1405C2×C4#57612yes—
1406C2×C4C22×#4111yescharacteristic
1407C2×C4C2×H(5,𝔽2)11yescharacteristic
1408C2×C4C2×H(5,𝔽2)11yescharacteristic
1409C2×C4C2×H(5,𝔽2)11yescharacteristic
1410C2×C4#58511yescharacteristic
1411C2×C4#58511yescharacteristic
1412C8—22no—
1413C8—41no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C8—41no—
1418C8—41no—
1419C8—41no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—24no—
1425C22—22no—
1426C22—22no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—42no—
1435C22—41no—
1436C22—41no—
1437C22—42no—
1438C22—42no—
1439C22—41no—
1440C22—41no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
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—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—168no—
1477C22—168no—
1478C22—168no—
1479C22D4×#4111yescharacteristic
1480C22#348411yescharacteristic
1481C22#348811yescharacteristic
1482C22C22×AGL(1,ℤ/8)11yescharacteristic
1483C22C2×#57611yescharacteristic
1484C22#358511yescharacteristic
1485C22#358511yescharacteristic
1486C4—22no—
1487C4—22no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—42no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4C2×#53811yescharacteristic
1509C4#351411yescharacteristic
1510C4#354511yescharacteristic
1511C4#355811yescharacteristic
1512C2—42no—
1513C2—42no—
1514C2—44no—
1515C2—82no—
1516C2—161no—
1517C2—161no—
1518C2—161no—
1519C2—161no—
1520C2#3771611yescharacteristic
1521C2#6145111yescharacteristic
1522C2#6151911yescharacteristic
1523C2#6156911yescharacteristic
1524C2#6168811yescharacteristic
1525C2#6197911yescharacteristic
1526C2#6207511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#124 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39396C2semidirect
2. #36289C2semidirect
3. #33080C2semidirect
4. #32681C2semidirect
5. #32623C2semidirect
6. #32207C2semidirect
7. #32072C2semidirect
8. #31322C2semidirect
9. #31261C2semidirect
10. #30919C2semidirect
11. #30539C2semidirect
12. #30342C2semidirect
13. #30038C2semidirect
14. #28983C2semidirect
15. #28930C2semidirect
16. #27539C2semidirect
17. #27240C2semidirect
18. #26738C2semidirect
19. #25946C2semidirect
20. #25168C2semidirect
21. #25168C2semidirect
22. #24913C2semidirect
23. #24526C2semidirect
24. #24424C2semidirect
25. #24354C2semidirect
26. #24347C2semidirect
27. #23848C2semidirect
28. #22858C2semidirect
29. #22436C2semidirect
30. #22395C2semidirect
31. #21503C2semidirect
33. C2×#554C22semidirect
36. C2×#490C22semidirect
37. C2×#478C22semidirect
38. C2×#466C22semidirect
45. C2×#447C22semidirect
48. C2×#442C22semidirect
49. C22×#102C22semidirect
50. #2860C22semidirect
51. #2858C22semidirect
59. #2548C22semidirect
60. #2548C22semidirect
61. #2538C22semidirect
63. #2501C22semidirect
64. #2496C22semidirect
67. #2490C22semidirect
68. #2490C22semidirect
75. #2433C22semidirect
76. #2428C22semidirect
77. #2428C22semidirect
78. #2422C22semidirect
82. #2361C22semidirect
85. D4×C22⋊C4C22semidirect
86. D4×C22⋊C4C22semidirect
87. D4×C22⋊C4C22semidirect
88. C4×#127C22semidirect
91. C42×D4C22semidirect
92. #2094C22semidirect
93. #2077C22semidirect
94. #2077C22semidirect
95. #2077C22semidirect
96. #2071C22semidirect
97. #2071C22semidirect
98. #2071C22semidirect
99. #2065C22semidirect
100. #2065C22semidirect
101. #2065C22semidirect
102. #2059C22semidirect
103. #2058C22semidirect
104. #2054C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2054C22semidirect
108. #2054C22semidirect
109. #2041C22semidirect
110. #2034C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
116. #2025C22semidirect
117. #2025C22semidirect
118. #2025C22semidirect
119. #2023C22semidirect
120. #2023C22semidirect
121. #2023C22semidirect
124. #2011C22semidirect
125. #2011C22semidirect
126. #2011C22semidirect
127. #2011C22semidirect
128. #2011C22semidirect
132. #1992C22semidirect
133. #1989C22semidirect
134. #1985C22semidirect
135. #1985C22semidirect
136. #1982C22semidirect
137. #1972C22semidirect
138. #1972C22semidirect
139. #1972C22semidirect
140. #1972C22semidirect
141. #1972C22semidirect
142. #1948C22semidirect
143. #1936C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
146. #1926C22semidirect
147. #1926C22semidirect
148. #1926C22semidirect
149. #1926C22semidirect
150. #1926C22semidirect
151. #1926C22semidirect
152. #1925C22semidirect
153. #1924C22semidirect
154. #1924C22semidirect
155. #1924C22semidirect
156. #1924C22semidirect
157. #1921C22semidirect
158. #1920C22semidirect
159. #1919C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1893C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1874C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1862C22semidirect
185. #1853C22semidirect
186. #1850C22semidirect
187. #1850C22semidirect
188. #1839C22semidirect
189. #1823C22semidirect
190. #1807C22semidirect
191. #1802C22semidirect
192. #1802C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1767C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. #1762C22semidirect
201. #1752C22semidirect
202. #1752C22semidirect
1322. D4#538semidirect

Maximal subgroups

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

subgroupindex
#393962
#362892
#330802
#326812
#326232
#322072
#320722
#313222
#312612
#309192
#305392
#303422
#300382
#289832
#289302
#275392
#272402
#267382
#259462
#251682
#249132
#245262
#244242
#243542
#243472
#238482
#228582
#224362
#223952
#215032