Finite Group Databasebeta

← #7090439

Subgroups — #7090439

Order 512.

1921 conjugacy classes of subgroups.

The subgroup lattice has 1501 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59420C211yesmaximal, characteristic, complemented
2#39024C211yesmaximal, characteristic, complemented
3#32648C211yesmaximal, characteristic, complemented
4#32614C211yesmaximal, characteristic, complemented
5#31942C211yesmaximal, characteristic, complemented
6#31294C211yesmaximal, characteristic, complemented
7#30992C211yesmaximal, characteristic, complemented
8#30572C211yesmaximal, characteristic, complemented
9#30452C211yesmaximal, characteristic, complemented
10#30420C211yesmaximal, characteristic, complemented
11#29503C211yesmaximal, characteristic, complemented
12#29493C211yesmaximal, characteristic, complemented
13#28842C211yesmaximal, characteristic, complemented
14#28357C211yesmaximal, characteristic, complemented
15#26985C211yesmaximal, characteristic, complemented
16#26979C211yesmaximal, characteristic, complemented
17#26635C211yesmaximal, characteristic, complemented
18#25781C211yesmaximal, characteristic, complemented
19#25635C211yesmaximal, characteristic, complemented
20#25429C211yesmaximal, characteristic, complemented
21#25172C211yesmaximal, characteristic, complemented
22#25164C211yesmaximal, characteristic, complemented
23#24921C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24204C211yesmaximal, characteristic, complemented
26#23848C211yesmaximal, characteristic
27#23806C211yesmaximal, characteristic, complemented
28#23270C211yesmaximal, characteristic, complemented
29#22868C211yesmaximal, characteristic, complemented
30#22436C211yesmaximal, characteristic, complemented
31#22271C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×#559C2211yescharacteristic, complemented
34C2×D42C2211yescharacteristic
35C2×#495C2211yescharacteristic
36C2×#495C2211yescharacteristic, complemented
37C2×#485C2211yescharacteristic, complemented
38C2×#468C2211yescharacteristic, complemented
39C2×#468C2211yescharacteristic, complemented
40C2×#467C2211yescharacteristic, complemented
41C2×#463C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#450C2211yescharacteristic
44C2×#450C2211yescharacteristic, complemented
45C2×#450C2211yescharacteristic, complemented
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#442C2211yescharacteristic, complemented
50C2×#442C2211yescharacteristic, complemented
51C2×#442C2211yescharacteristic, complemented
52C2×#440C2211yescharacteristic, complemented
53C2×#440C2211yescharacteristic, complemented
54C2×#418C2211yescharacteristic, complemented
55#2860C2211yescharacteristic, complemented
56#2756—21no—
57#2735—21no—
58#2702—21no—
59#2697—21no—
60#2697—21no—
61#2685—21no—
62#2648—21no—
63#2592C2211yescharacteristic, complemented
64#2538C2211yescharacteristic
65#2538C2211yescharacteristic, complemented
66#2538C2211yescharacteristic, complemented
67#2534—21no—
68#2534—21no—
69#2518—21no—
70#2500C2211yescharacteristic, complemented
71#2495C2211yescharacteristic, complemented
72#2472—21no—
73#2435—21no—
74#2435C2211yescharacteristic
75#2435C2211yescharacteristic, complemented
76#2435C2211yescharacteristic, complemented
77#2427—21no—
78#2427C2211yescharacteristic
79#2427C2211yescharacteristic, complemented
80#2427C2211yescharacteristic, complemented
81#2426C2211yescharacteristic, complemented
82#2423C2211yescharacteristic, complemented
83#2420—21no—
84#2420C2211yescharacteristic
85#2420C2211yescharacteristic, complemented
86#2415C2211yescharacteristic
87#2408C2211yescharacteristic
88#2363C2211yescharacteristic, complemented
89D4×C22⋊C4—21no—
90D4×C22⋊C4C2211yescharacteristic
91D4×C22⋊C4C2211yescharacteristic, complemented
92D4×C22⋊C4C2211yescharacteristic, complemented
93#2312—21no—
94C4×#127C2211yescharacteristic, complemented
95C4×#124C2211yescharacteristic
96C4×#124C2211yescharacteristic, complemented
97C4×#124C2211yescharacteristic, complemented
98#2096C2211yescharacteristic, complemented
99#2093C2211yescharacteristic, complemented
100#2093C2211yescharacteristic, complemented
101#2092C2211yescharacteristic, complemented
102#2092C2211yescharacteristic, complemented
103#2085C2211yescharacteristic, complemented
104#2083C2211yescharacteristic, complemented
105#2083C2211yescharacteristic, complemented
106#2076C2211yescharacteristic, complemented
107#2073C2211yescharacteristic, complemented
108#2071C2211yescharacteristic, complemented
109#2067C2211yescharacteristic, complemented
110#2067C2211yescharacteristic, complemented
111#2065C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2041C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic, complemented
123#2015C2211yescharacteristic, complemented
124#2014C2211yescharacteristic, complemented
125#2012C2211yescharacteristic
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic
133#2001C2211yescharacteristic, complemented
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1985C2211yescharacteristic, complemented
139#1984C2211yescharacteristic, complemented
140#1983C2211yescharacteristic, complemented
141#1973C2211yescharacteristic, complemented
142#1972C2211yescharacteristic
143#1972C2211yescharacteristic
144#1970C2211yescharacteristic
145#1970C2211yescharacteristic, complemented
146#1970C2211yescharacteristic, complemented
147#1959C2211yescharacteristic, complemented
148#1958C2211yescharacteristic, complemented
149#1958C2211yescharacteristic, complemented
150#1942C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1935C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1924C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1920C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1893C2211yescharacteristic
164#1880C2211yescharacteristic, complemented
165#1880C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1869C2211yescharacteristic
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1835C2211yescharacteristic, complemented
191#1807C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic, complemented
196C4×#102C2211yescharacteristic, complemented
197#1753C2211yescharacteristic, complemented
198#1753C2211yescharacteristic, complemented
199#1752C2211yescharacteristic, complemented
200C8×C22⋊C4C2211yescharacteristic, complemented
201#1745C2211yescharacteristic, complemented
202#1744C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8—24no—
214C22×D8—42no—
215C22×D8—42no—
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#559—42no—
225#559—42no—
226D42—42no—
227D42—42no—
228C2×#127C2311yescharacteristic
229C2×#126—21no—
230C2×#124—21no—
231C2×#124D411yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#123—21no—
238C2×#123—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#120—21no—
251C2×#120—21no—
252C2×#120—21no—
253C2×C4×Q8C2311yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271#495—24no—
272#495—42no—
273#485—42no—
274#468—42no—
275#468—42no—
276#467—42no—
277#463—42no—
278#463—42no—
279#450—42no—
280#450—42no—
281#450—42no—
282#447—24no—
283#447—42no—
284#447—42no—
285#442—42no—
286#442—42no—
287#442—42no—
288#440—42no—
289#440—42no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300#418—42no—
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×#97C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×C4×C8C2311yescharacteristic
343C2×C4×C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345#400—21no—
346#399—21no—
347#398—21no—
348#397—21no—
349#397—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#396—21no—
360#396—21no—
361#396—21no—
362#396—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#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#393—21no—
380#392—21no—
381#391D411yescharacteristic
382#391C2311yescharacteristic
383#391C2311yescharacteristic
384#391C2311yescharacteristic
385#390—21no—
386#390—21no—
387#390—21no—
388#390—21no—
389#390—21no—
390#390D411yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#389—21no—
403#389—21no—
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#388—21no—
411#388—21no—
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#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388D411yescharacteristic
427#388D411yescharacteristic
428#388D411yescharacteristic
429#388D411yescharacteristic
430#387—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#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#384C2311yescharacteristic
444#384C2311yescharacteristic
445#383—21no—
446#382D411yescharacteristic
447#382C2311yescharacteristic
448#382C2311yescharacteristic
449#381—21no—
450#381—21no—
451#380—21no—
452#380—21no—
453#380—21no—
454#380—21no—
455#380—21no—
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#379—21no—
461#379—21no—
462#379—21no—
463#379—21no—
464#379—21no—
465#379—21no—
466#379—21no—
467#379—21no—
468#379—21no—
469#379—21no—
470C4×C4⋊C4C2311yescharacteristic
471C4×C22⋊C4—21no—
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480C43C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C25—21no—
507C25—21no—
508C22×Q8C2×D411yescharacteristic
509C22×Q8C2411yescharacteristic
510C22×Q8C2411yescharacteristic
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
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—41no—
526C22×D4—41no—
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
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C2×Q16—22no—
557C2×Q16—41no—
558C2×Q16—41no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—416no—
592C2×D8#4114yes—
593C2×M16—22no—
594C2×M16—41no—
595C2×M16—41no—
596C22×C8—22no—
597C22×C8—22no—
598C22×C8—41no—
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607#127—22no—
608#127—22no—
609#126—82no—
610#124—22no—
611#124—22no—
612#124—22no—
613#124—22no—
614#124—41no—
615#124—41no—
616#124—41no—
617#124—41no—
618#124—41no—
619#124—41no—
620#124—42no—
621#124—44no—
622#123—44no—
623#123—44no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—41no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—82no—
633C22⋊Q8—82no—
634#121—22no—
635#121—22no—
636#121—22no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—44no—
641#121—41no—
642#121—41no—
643#120—44no—
644#120—44no—
645#120—82no—
646C4×Q8—41no—
647C4×Q8—41no—
648C4×Q8—41no—
649C4×Q8—41no—
650C4×Q8—41no—
651C4×Q8—41no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—44no—
669C4×D4—82no—
670C4×D4—82no—
671#117—41no—
672#117—41no—
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—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42C2×D411yescharacteristic
772C2×C42C2×D411yescharacteristic
773C2×C42C2×D411yescharacteristic
774C2×C42C2×D411yescharacteristic
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780#107—22no—
781#107—41no—
782#107—41no—
783#107—41no—
784#107—41no—
785#106—22no—
786#106—41no—
787#106—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790#103—22no—
791#103—22no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
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—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828#97—22no—
829#97—22no—
830#97—41no—
831C4×C8—22no—
832C4×C8—41no—
833C4×C8—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#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—42no—
869C24—42no—
870C24—42no—
871C24—42no—
872C24—42no—
873C24—42no—
874C24—42no—
875C24—42no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891C2×Q8—22no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
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—41no—
905C2×Q8—41no—
906C2×D4—24no—
907C2×D4—22no—
908C2×D4—24no—
909C2×D4—22no—
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—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—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—41no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—82no—
959C2×D4—82no—
960C2×D4—82no—
961C2×D4—82no—
962C2×D4—82no—
963C2×D4—82no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—82no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—816no—
975C2×D4C2×#4112yes—
976C2×D4C2×#4112yes—
977C2×D4H(5,𝔽2)12yes—
978C2×D4H(5,𝔽2)12yes—
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—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—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
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×C4—81no—
1022C22×C4—81no—
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×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C2511yescharacteristic
1036Q16—82no—
1037SD16—44no—
1038SD16—44no—
1039SD16—82no—
1040SD16—82no—
1041SD16—82no—
1042D8—28no—
1043D8—44no—
1044D8—44no—
1045D8—44no—
1046D8—44no—
1047D8—82no—
1048M16—82no—
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—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—44no—
1071C2×C8C2×#4112yes—
1072C2×C8H(5,𝔽2)12yes—
1073C2×C8H(5,𝔽2)12yes—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
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—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
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—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
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—
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—
1174C42—22no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—42no—
1189C42—81no—
1190C42—81no—
1191C42—81no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—22no—
1201C23—22no—
1202C23—21no—
1203C23—22no—
1204C23—22no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
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—84no—
1241C23—84no—
1242C23—84no—
1243C23—84no—
1244C23—84no—
1245C23—84no—
1246C23—84no—
1247C23—84no—
1248C23—162no—
1249C23—162no—
1250C23—162no—
1251C23—162no—
1252C23—162no—
1253C23—162no—
1254C23—162no—
1255C23—162no—
1256C23—162no—
1257C23—162no—
1258C23—162no—
1259C23—162no—
1260C23—162no—
1261C23#57512yes—
1262C23C23×D411yescharacteristic
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—82no—
1272D4—22no—
1273D4—22no—
1274D4—22no—
1275D4—22no—
1276D4—22no—
1277D4—22no—
1278D4—22no—
1279D4—22no—
1280D4—44no—
1281D4—48no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—84no—
1295D4—84no—
1296D4—84no—
1297D4—84no—
1298D4—84no—
1299D4—84no—
1300D4—162no—
1301D4—162no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
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—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—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—84no—
1379C2×C4—162no—
1380C2×C4—162no—
1381C2×C4—162no—
1382C2×C4—162no—
1383C2×C4—162no—
1384C2×C4—162no—
1385C2×C4#57612yes—
1386C2×C4C22×#4111yescharacteristic
1387C2×C4C2×H(5,𝔽2)11yescharacteristic
1388C2×C4C2×H(5,𝔽2)11yescharacteristic
1389C2×C4C2×H(5,𝔽2)11yescharacteristic
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4#58511yescharacteristic
1392C8—22no—
1393C8—22no—
1394C8—22no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—42no—
1409C22—42no—
1410C22—41no—
1411C22—42no—
1412C22—42no—
1413C22—41no—
1414C22—42no—
1415C22—42no—
1416C22—41no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—41no—
1422C22—42no—
1423C22—42no—
1424C22—41no—
1425C22—41no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—168no—
1450C22—168no—
1451C22—168no—
1452C22D4×#4111yescharacteristic
1453C22#348411yescharacteristic
1454C22#349811yescharacteristic
1455C22C2×#57511yescharacteristic
1456C22C2×#57611yescharacteristic
1457C22#358411yescharacteristic
1458C22#358511yescharacteristic
1459C4—22no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4#349011yescharacteristic
1483C4#351911yescharacteristic
1484C4#353411yescharacteristic
1485C4#354211yescharacteristic
1486C2—42no—
1487C2—81no—
1488C2—82no—
1489C2—82no—
1490C2—82no—
1491C2—82no—
1492C2—161no—
1493C2#4422811yescharacteristic
1494C2#6145411yescharacteristic
1495C2#6147511yescharacteristic
1496C2#6159211yescharacteristic
1497C2#6167811yescharacteristic
1498C2#6242811yescharacteristic
1499C2#6246311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23848C2
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. #59420C2semidirect
2. #39024C2semidirect
3. #32648C2semidirect
4. #32614C2semidirect
5. #31942C2semidirect
6. #31294C2semidirect
7. #30992C2semidirect
8. #30572C2semidirect
9. #30452C2semidirect
10. #30420C2semidirect
11. #29503C2semidirect
12. #29493C2semidirect
13. #28842C2semidirect
14. #28357C2semidirect
15. #26985C2semidirect
16. #26979C2semidirect
17. #26635C2semidirect
18. #25781C2semidirect
19. #25635C2semidirect
20. #25429C2semidirect
21. #25172C2semidirect
22. #25164C2semidirect
23. #24921C2semidirect
24. #24448C2semidirect
25. #24204C2semidirect
27. #23806C2semidirect
28. #23270C2semidirect
29. #22868C2semidirect
30. #22436C2semidirect
31. #22271C2semidirect
33. C2×#559C22semidirect
36. C2×#495C22semidirect
37. C2×#485C22semidirect
38. C2×#468C22semidirect
39. C2×#468C22semidirect
40. C2×#467C22semidirect
41. C2×#463C22semidirect
42. C2×#463C22semidirect
44. C2×#450C22semidirect
45. C2×#450C22semidirect
49. C2×#442C22semidirect
50. C2×#442C22semidirect
51. C2×#442C22semidirect
52. C2×#440C22semidirect
53. C2×#440C22semidirect
54. C2×#418C22semidirect
55. #2860C22semidirect
63. #2592C22semidirect
65. #2538C22semidirect
66. #2538C22semidirect
70. #2500C22semidirect
71. #2495C22semidirect
75. #2435C22semidirect
76. #2435C22semidirect
79. #2427C22semidirect
80. #2427C22semidirect
81. #2426C22semidirect
82. #2423C22semidirect
85. #2420C22semidirect
88. #2363C22semidirect
91. D4×C22⋊C4C22semidirect
92. D4×C22⋊C4C22semidirect
94. C4×#127C22semidirect
96. C4×#124C22semidirect
97. C4×#124C22semidirect
98. #2096C22semidirect
99. #2093C22semidirect
100. #2093C22semidirect
101. #2092C22semidirect
102. #2092C22semidirect
103. #2085C22semidirect
104. #2083C22semidirect
105. #2083C22semidirect
106. #2076C22semidirect
107. #2073C22semidirect
108. #2071C22semidirect
109. #2067C22semidirect
110. #2067C22semidirect
111. #2065C22semidirect
112. #2055C22semidirect
113. #2042C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
116. #2041C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2035C22semidirect
120. #2035C22semidirect
122. #2033C22semidirect
123. #2015C22semidirect
124. #2014C22semidirect
127. #2012C22semidirect
128. #2012C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
133. #2001C22semidirect
135. #2000C22semidirect
138. #1985C22semidirect
139. #1984C22semidirect
140. #1983C22semidirect
141. #1973C22semidirect
145. #1970C22semidirect
146. #1970C22semidirect
147. #1959C22semidirect
148. #1958C22semidirect
149. #1958C22semidirect
150. #1942C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1935C22semidirect
154. #1934C22semidirect
155. #1934C22semidirect
156. #1926C22semidirect
157. #1924C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1923C22semidirect
161. #1920C22semidirect
162. #1895C22semidirect
164. #1880C22semidirect
165. #1880C22semidirect
166. #1880C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1875C22semidirect
183. #1865C22semidirect
184. #1864C22semidirect
185. #1862C22semidirect
186. #1862C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1835C22semidirect
191. #1807C22semidirect
192. #1802C22semidirect
195. #1786C22semidirect
196. C4×#102C22semidirect
197. #1753C22semidirect
198. #1753C22semidirect
199. #1752C22semidirect
200. C8×C22⋊C4C22semidirect
201. #1745C22semidirect
202. #1744C22semidirect

Maximal subgroups

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

subgroupindex
#594202
#390242
#326482
#326142
#319422
#312942
#309922
#305722
#304522
#304202
#295032
#294932
#288422
#283572
#269852
#269792
#266352
#257812
#256352
#254292
#251722
#251642
#249212
#244482
#242042
#238482
#238062
#232702
#228682
#224362
#222712