Finite Group Databasebeta

← #7236361

Subgroups — #7236361

Order 512.

1807 conjugacy classes of subgroups.

The subgroup lattice has 1477 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39957C211yesmaximal, characteristic
2#39598C211yesmaximal, characteristic, complemented
3#32770C211yesmaximal, characteristic, complemented
4#31730C211yesmaximal, characteristic, complemented
5#31725C211yesmaximal, characteristic, complemented
6#31652C211yesmaximal, characteristic, complemented
7#31638C211yesmaximal, characteristic, complemented
8#31409C211yesmaximal, characteristic, complemented
9#31395C211yesmaximal, characteristic, complemented
10#31356C211yesmaximal, characteristic, complemented
11#31350C211yesmaximal, characteristic, complemented
12#30459C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#30420C211yesmaximal, characteristic, complemented
15#30409C211yesmaximal, characteristic, complemented
16#29107C211yesmaximal, characteristic, complemented
17#27270C211yesmaximal, characteristic, complemented
18#27254C211yesmaximal, characteristic, complemented
19#26983C211yesmaximal, characteristic, complemented
20#26965C211yesmaximal, characteristic, complemented
21#26179C211yesmaximal, characteristic, complemented
22#26169C211yesmaximal, characteristic, complemented
23#25598C211yesmaximal, characteristic, complemented
24#24443C211yesmaximal, characteristic, complemented
25#24426C211yesmaximal, characteristic, complemented
26#24259C211yesmaximal, characteristic, complemented
27#24242C211yesmaximal, characteristic, complemented
28#23981C211yesmaximal, characteristic, complemented
29#23969C211yesmaximal, characteristic, complemented
30#23935C211yesmaximal, characteristic, complemented
31#22333C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#533C2211yescharacteristic, complemented
36C2×#492C2211yescharacteristic
37C2×#486C2211yescharacteristic
38C2×#468C2211yescharacteristic
39C2×#467C2211yescharacteristic
40C2×#464C2211yescharacteristic
41C2×#460C2211yescharacteristic
42C2×#452C2211yescharacteristic
43C2×#452C2211yescharacteristic
44C2×#452C2211yescharacteristic, complemented
45C2×#452C2211yescharacteristic, complemented
46C2×#450C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#440C2211yescharacteristic
49C2×C4×Q16C2211yescharacteristic, complemented
50C2×#417C2211yescharacteristic, complemented
51C22×#102C2211yescharacteristic
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2704—21no—
55#2704—21no—
56#2683—21no—
57#2683—21no—
58#2673—21no—
59#2671—21no—
60#2669—21no—
61#2668—21no—
62#2661—21no—
63#2629—21no—
64#2602—21no—
65#2584—21no—
66#2567C2211yescharacteristic, complemented
67#2539—21no—
68#2538—21no—
69#2538C2211yescharacteristic
70#2538C2211yescharacteristic
71#2538C2211yescharacteristic, complemented
72#2448C2211yescharacteristic
73#2445C2211yescharacteristic
74#2440C2211yescharacteristic
75#2440C2211yescharacteristic, complemented
76#2433C2211yescharacteristic
77#2431C2211yescharacteristic
78#2429C2211yescharacteristic
79#2429C2211yescharacteristic, complemented
80#2423C2211yescharacteristic
81#2422C2211yescharacteristic
82#2417C2211yescharacteristic
83#2417C2211yescharacteristic, complemented
84#2414C2211yescharacteristic
85#2414C2211yescharacteristic
86#2408C2211yescharacteristic
87#2407C2211yescharacteristic
88Q8×C4⋊C4C2211yescharacteristic, complemented
89#2324—21no—
90#2321—21no—
91C4×#121C2211yescharacteristic
92#2297C2211yescharacteristic
93#2100C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2093C2211yescharacteristic
96#2093C2211yescharacteristic, complemented
97#2087C2211yescharacteristic, complemented
98#2086C2211yescharacteristic, complemented
99#2083C2211yescharacteristic, complemented
100#2083C2211yescharacteristic, complemented
101#2076C2211yescharacteristic
102#2075C2211yescharacteristic, complemented
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic
105#2071C2211yescharacteristic
106#2071C2211yescharacteristic, complemented
107#2055C2211yescharacteristic
108#2055C2211yescharacteristic, complemented
109#2042C2211yescharacteristic
110#2041C2211yescharacteristic
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic
113#2036C2211yescharacteristic
114#2036C2211yescharacteristic
115#2036C2211yescharacteristic, complemented
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2024C2211yescharacteristic, complemented
123#2023C2211yescharacteristic
124#2023C2211yescharacteristic
125#2023C2211yescharacteristic
126#2023C2211yescharacteristic, complemented
127#2016C2211yescharacteristic, complemented
128#2015C2211yescharacteristic
129#2014C2211yescharacteristic
130#2013C2211yescharacteristic
131#2001C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1990C2211yescharacteristic, complemented
142#1959C2211yescharacteristic
143#1957C2211yescharacteristic
144#1956C2211yescharacteristic, complemented
145#1955C2211yescharacteristic
146#1954C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1935C2211yescharacteristic, complemented
149#1934C2211yescharacteristic
150#1934C2211yescharacteristic
151#1934C2211yescharacteristic
152#1933C2211yescharacteristic, complemented
153#1933C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1923C2211yescharacteristic
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1894C2211yescharacteristic, complemented
161#1893C2211yescharacteristic
162#1892C2211yescharacteristic
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1873C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic
185#1863C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic
189#1825C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1824C2211yescharacteristic
192#1823C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1803C2211yescharacteristic, complemented
195#1802C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1753C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic
202C4×C22⋊C8C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#554—42no—
217#554—42no—
218#550—42no—
219#550—42no—
220#546—42no—
221#546—42no—
222#533—42no—
223#533—42no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×C4⋊Q8C2311yescharacteristic
226C2×C4⋊Q8C2311yescharacteristic
227C2×#127—21no—
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#125—21no—
231C2×#125—21no—
232C2×#124C2311yescharacteristic
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121D411yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×C4×Q8—21no—
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×Q8C2311yescharacteristic
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×#117—21no—
277C2×#117C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C22⋊C4—21no—
281C22×C42C2311yescharacteristic
282#492—42no—
283#486—42no—
284#468—42no—
285#467—42no—
286#464—42no—
287#460—42no—
288#452—42no—
289#452—42no—
290#452—42no—
291#452—42no—
292#450—42no—
293#450—42no—
294#440—42no—
295C4×Q16—42no—
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302#417—42no—
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#102—42no—
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×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350#399—21no—
351#399—21no—
352#398—21no—
353#398—21no—
354#398—21no—
355#398—21no—
356#398—21no—
357#398—21no—
358#398—21no—
359#397—21no—
360#397—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#395—21no—
372#395—21no—
373#395—21no—
374#395—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#391—21no—
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390D411yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#389—21no—
410#389—21no—
411#389—21no—
412#389—21no—
413#389—21no—
414#389—21no—
415#389—21no—
416#389—21no—
417#389—21no—
418#389—21no—
419#389D411yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388D411yescharacteristic
434#388D411yescharacteristic
435#387—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386D411yescharacteristic
445#386D411yescharacteristic
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#384—21no—
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#384C2311yescharacteristic
455#380—21no—
456#380—21no—
457#380—21no—
458#380D411yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#379—21no—
466C4×C4⋊C4—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C2×#41—22no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C22×Q8—21no—
516C22×Q8—21no—
517C22×Q8C2411yescharacteristic
518C22×Q8C2411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×D4—21no—
521C22×D4—22no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4C2×D411yescharacteristic
550C23×C4C2×D411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C2×Q16—22no—
555C2×Q16—22no—
556C2×Q16—22no—
557C2×Q16—41no—
558C2×Q16—41no—
559C2×Q16—41no—
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×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C22×C8—41no—
582C22×C8—41no—
583C22×C8—41no—
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C4⋊Q8—22no—
593C4⋊Q8—22no—
594C4⋊Q8—41no—
595C4⋊Q8—41no—
596C4⋊Q8—41no—
597C4⋊Q8—41no—
598#127—22no—
599#127—41no—
600#127—41no—
601#127—41no—
602#127—44no—
603#125—44no—
604#125—44no—
605#124—22no—
606#124—41no—
607#123—44no—
608#123—82no—
609#123—82no—
610C22⋊Q8—22no—
611C22⋊Q8—22no—
612C22⋊Q8—22no—
613C22⋊Q8—22no—
614C22⋊Q8—22no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—41no—
620C22⋊Q8—44no—
621C22⋊Q8—44no—
622C22⋊Q8—44no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—82no—
628C22⋊Q8—82no—
629C22⋊Q8—82no—
630#121—24no—
631#121—22no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—44no—
638#121—44no—
639#121—44no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—82no—
645#121—82no—
646#120—44no—
647#120—44no—
648#120—82no—
649#120—82no—
650C4×Q8—22no—
651C4×Q8—22no—
652C4×Q8—22no—
653C4×Q8—41no—
654C4×Q8—41no—
655C4×Q8—41no—
656C4×Q8—44no—
657C4×Q8—41no—
658C4×Q8—41no—
659C4×Q8—41no—
660C4×Q8—41no—
661C4×D4—22no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—44no—
670C4×D4—44no—
671#117—44no—
672#117—41no—
673#117—41no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—22no—
676C2×C4⋊C4—22no—
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⋊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—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
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—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—41no—
777C2×C42—41no—
778C2×C42C2×D411yescharacteristic
779C2×C42C2×D411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784#107—41no—
785#107—41no—
786#107—41no—
787#107—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790#103—22no—
791#103—22no—
792#103—22no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#102—22no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
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—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832#97—41no—
833C4×C8—41no—
834C4×C8—41no—
835C4×C8—41no—
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#95—21no—
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862C24—21no—
863C24—21no—
864C24—21no—
865C24—42no—
866C24—42no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874C24C22×D411yescharacteristic
875#41—44no—
876#41—82no—
877#41—82no—
878#41—82no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—42no—
900C2×Q8—42no—
901C2×Q8—42no—
902C2×Q8—81no—
903C2×Q8—81no—
904C2×Q8—81no—
905C2×Q8H(5,𝔽2)12yes—
906C2×Q8H(5,𝔽2)12yes—
907C2×D4—22no—
908C2×D4—24no—
909C2×D4—22no—
910C2×D4—22no—
911C2×D4—22no—
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—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—44no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
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×D4—82no—
956C2×D4—82no—
957C2×D4—82no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4H(5,𝔽2)12yes—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—24no—
978C22×C4—22no—
979C22×C4—22no—
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—22no—
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—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
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×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C2511yescharacteristic
1038Q16—44no—
1039Q16—82no—
1040SD16—44no—
1041SD16—82no—
1042SD16—82no—
1043SD16—82no—
1044SD16—82no—
1045SD16—82no—
1046M16—82no—
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—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—82no—
1072C4⋊C4—24no—
1073C4⋊C4—22no—
1074C4⋊C4—22no—
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—21no—
1093C4⋊C4—21no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
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—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4H(5,𝔽2)12yes—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
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—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#13714yes—
1173C42—24no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—41no—
1183C42—41no—
1184C42—42no—
1185C42—42no—
1186C42—81no—
1187C42—81no—
1188C42—81no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—22no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
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—84no—
1231C23—84no—
1232C23—162no—
1233C23—162no—
1234C23—162no—
1235C23—162no—
1236C23—162no—
1237C23C2×#13712yes—
1238C23C23×D411yescharacteristic
1239Q8—22no—
1240Q8—22no—
1241Q8—22no—
1242Q8—22no—
1243Q8—41no—
1244Q8—41no—
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—84no—
1252Q8—162no—
1253D4—22no—
1254D4—22no—
1255D4—44no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—82no—
1267D4—84no—
1268D4—82no—
1269D4—84no—
1270D4—84no—
1271D4—84no—
1272D4—162no—
1273D4—162no—
1274D4—162no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278D4—162no—
1279D4—162no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—22no—
1294C2×C4—21no—
1295C2×C4—22no—
1296C2×C4—21no—
1297C2×C4—22no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—44no—
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—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—82no—
1362C2×C4—84no—
1363C2×C4—84no—
1364C2×C4—162no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4C2×#13712yes—
1368C2×C4C2×#13712yes—
1369C2×C4#57612yes—
1370C2×C4#57712yes—
1371C2×C4C2×H(5,𝔽2)11yescharacteristic
1372C2×C4C2×H(5,𝔽2)11yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4#58511yescharacteristic
1376C2×C4#58511yescharacteristic
1377C8—41no—
1378C8—41no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—42no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—42no—
1404C22—41no—
1405C22—41no—
1406C22—42no—
1407C22—41no—
1408C22—41no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—168no—
1428C22#348411yescharacteristic
1429C22#348411yescharacteristic
1430C22#350011yescharacteristic
1431C22C22×#13711yescharacteristic
1432C22C2×#57611yescharacteristic
1433C22C2×#57711yescharacteristic
1434C22#358411yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—42no—
1443C4—42no—
1444C4—41no—
1445C4—41no—
1446C4—42no—
1447C4—41no—
1448C4—41no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4#353411yescharacteristic
1460C4#353411yescharacteristic
1461C4#354211yescharacteristic
1462C4#354211yescharacteristic
1463C2—42no—
1464C2—81no—
1465C2—81no—
1466C2—82no—
1467C2—161no—
1468C2—161no—
1469C2#4635411yescharacteristic
1470C2#6159311yescharacteristic
1471C2#6160711yescharacteristic
1472C2#6163911yescharacteristic
1473C2#6166811yescharacteristic
1474C2#6253711yescharacteristic
1475C2#6256311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#39957C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #39598C2semidirect
3. #32770C2semidirect
4. #31730C2semidirect
5. #31725C2semidirect
6. #31652C2semidirect
7. #31638C2semidirect
8. #31409C2semidirect
9. #31395C2semidirect
10. #31356C2semidirect
11. #31350C2semidirect
12. #30459C2semidirect
13. #30456C2semidirect
14. #30420C2semidirect
15. #30409C2semidirect
16. #29107C2semidirect
17. #27270C2semidirect
18. #27254C2semidirect
19. #26983C2semidirect
20. #26965C2semidirect
21. #26179C2semidirect
22. #26169C2semidirect
23. #25598C2semidirect
24. #24443C2semidirect
25. #24426C2semidirect
26. #24259C2semidirect
27. #24242C2semidirect
28. #23981C2semidirect
29. #23969C2semidirect
30. #23935C2semidirect
31. #22333C2semidirect
35. C2×#533C22semidirect
44. C2×#452C22semidirect
45. C2×#452C22semidirect
49. C2×C4×Q16C22semidirect
50. C2×#417C22semidirect
52. #2857C22semidirect
66. #2567C22semidirect
71. #2538C22semidirect
75. #2440C22semidirect
79. #2429C22semidirect
83. #2417C22semidirect
88. Q8×C4⋊C4C22semidirect
93. #2100C22semidirect
94. #2099C22semidirect
96. #2093C22semidirect
97. #2087C22semidirect
98. #2086C22semidirect
99. #2083C22semidirect
100. #2083C22semidirect
102. #2075C22semidirect
103. #2072C22semidirect
106. #2071C22semidirect
108. #2055C22semidirect
115. #2036C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2024C22semidirect
122. #2024C22semidirect
126. #2023C22semidirect
127. #2016C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #1990C22semidirect
144. #1956C22semidirect
146. #1954C22semidirect
147. #1936C22semidirect
148. #1935C22semidirect
152. #1933C22semidirect
153. #1933C22semidirect
154. #1933C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
160. #1894C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
173. #1878C22semidirect
178. #1873C22semidirect
179. #1873C22semidirect
182. #1870C22semidirect
185. #1863C22semidirect
186. #1863C22semidirect
187. #1863C22semidirect
189. #1825C22semidirect
190. #1825C22semidirect
192. #1823C22semidirect
193. #1817C22semidirect
194. #1803C22semidirect
198. #1788C22semidirect
200. #1753C22semidirect
202. C4×C22⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#399572
#395982
#327702
#317302
#317252
#316522
#316382
#314092
#313952
#313562
#313502
#304592
#304562
#304202
#304092
#291072
#272702
#272542
#269832
#269652
#261792
#261692
#255982
#244432
#244262
#242592
#242422
#239812
#239692
#239352
#223332