Finite Group Databasebeta

← #7032130

Subgroups — #7032130

Order 512.

1949 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45079C211yesmaximal, characteristic, complemented
2#44930C211yesmaximal, characteristic, complemented
3#32014C211yesmaximal, characteristic, complemented
4#31667C211yesmaximal, characteristic, complemented
5#31634C211yesmaximal, characteristic, complemented
6#31520C211yesmaximal, characteristic, complemented
7#31336C211yesmaximal, characteristic, complemented
8#31279C211yesmaximal, characteristic, complemented
9#31059C211yesmaximal, characteristic, complemented
10#30418C211yesmaximal, characteristic, complemented
11#29418C211yesmaximal, characteristic, complemented
12#29005C211yesmaximal, characteristic, complemented
13#27222C211yesmaximal, characteristic, complemented
14#26984C211yesmaximal, characteristic, complemented
15#26893C211yesmaximal, characteristic, complemented
16#26660C211yesmaximal, characteristic, complemented
17#26593C211yesmaximal, characteristic, complemented
18#25159C211yesmaximal, characteristic, complemented
19#24907C211yesmaximal, characteristic, complemented
20#24444C211yesmaximal, characteristic, complemented
21#24242C211yesmaximal, characteristic, complemented
22#24116C211yesmaximal, characteristic, complemented
23#23972C211yesmaximal, characteristic, complemented
24#23947C211yesmaximal, characteristic, complemented
25#23869C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23583C211yesmaximal, characteristic, complemented
28#22879C211yesmaximal, characteristic, complemented
29#22442C211yesmaximal, characteristic, complemented
30#22332C211yesmaximal, characteristic, complemented
31#22055C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#547C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×#542C2211yescharacteristic
37C2×#474C2211yescharacteristic
38C2×#469C2211yescharacteristic
39C2×#460C2211yescharacteristic, complemented
40C2×#452C2211yescharacteristic
41C2×#452C2211yescharacteristic
42C2×#452C2211yescharacteristic, complemented
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#442C2211yescharacteristic
49C2×C4×Q16C2211yescharacteristic, complemented
50C2×C4×SD16C2211yescharacteristic, complemented
51C2×C4×D8C2211yescharacteristic
52C2×#417C2211yescharacteristic
53#2709—21no—
54#2706—21no—
55#2701—21no—
56#2685—21no—
57#2681—21no—
58#2676—21no—
59#2672—21no—
60#2671—21no—
61#2563C2211yescharacteristic
62#2553—21no—
63#2542C2211yescharacteristic
64#2539—21no—
65#2538C2211yescharacteristic
66#2537C2211yescharacteristic
67#2491C2211yescharacteristic
68#2487C2211yescharacteristic
69#2472—21no—
70#2457—21no—
71#2451C2211yescharacteristic, complemented
72#2450—21no—
73#2445C2211yescharacteristic, complemented
74#2437—21no—
75#2431—21no—
76#2430—21no—
77#2428C2211yescharacteristic, complemented
78#2423C2211yescharacteristic
79#2422C2211yescharacteristic
80#2416C2211yescharacteristic
81#2408C2211yescharacteristic
82#2407C2211yescharacteristic
83#2407C2211yescharacteristic
84#2407C2211yescharacteristic, complemented
85#2392C2211yescharacteristic
86#2367C2211yescharacteristic
87#2360C2211yescharacteristic, complemented
88#2341C2211yescharacteristic
89#2339C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic
91#2324C2211yescharacteristic
92#2324C2211yescharacteristic, complemented
93#2311C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2096C2211yescharacteristic, complemented
96#2084C2211yescharacteristic, complemented
97#2077C2211yescharacteristic
98#2077C2211yescharacteristic
99#2077C2211yescharacteristic, complemented
100#2075C2211yescharacteristic
101#2071C2211yescharacteristic, complemented
102#2065C2211yescharacteristic
103#2065C2211yescharacteristic
104#2058C2211yescharacteristic, complemented
105#2056C2211yescharacteristic, complemented
106#2054C2211yescharacteristic
107#2042C2211yescharacteristic
108#2035C2211yescharacteristic
109#2035C2211yescharacteristic, complemented
110#2035C2211yescharacteristic, complemented
111#2034C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2033C2211yescharacteristic
116#2033C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2024C2211yescharacteristic, complemented
119#2024C2211yescharacteristic, complemented
120#2023C2211yescharacteristic
121#2023C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2015C2211yescharacteristic
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1990C2211yescharacteristic, complemented
135#1973C2211yescharacteristic
136#1970C2211yescharacteristic
137#1968C2211yescharacteristic
138#1968C2211yescharacteristic, complemented
139#1957C2211yescharacteristic, complemented
140#1954C2211yescharacteristic
141#1954C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1934C2211yescharacteristic
144#1934C2211yescharacteristic
145#1933C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1925C2211yescharacteristic
149#1925C2211yescharacteristic, complemented
150#1923C2211yescharacteristic
151#1923C2211yescharacteristic, complemented
152#1919C2211yescharacteristic, complemented
153#1918C2211yescharacteristic, complemented
154#1916C2211yescharacteristic, complemented
155#1916C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic, complemented
158#1894C2211yescharacteristic
159#1894C2211yescharacteristic, complemented
160#1880C2211yescharacteristic
161#1880C2211yescharacteristic
162#1880C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1878C2211yescharacteristic, complemented
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic
173#1877C2211yescharacteristic, complemented
174#1874C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1872C2211yescharacteristic, complemented
178#1870C2211yescharacteristic
179#1870C2211yescharacteristic
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic, complemented
182#1864C2211yescharacteristic
183#1864C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1852C2211yescharacteristic, complemented
188#1824C2211yescharacteristic, complemented
189#1818C2211yescharacteristic, complemented
190#1809C2211yescharacteristic
191#1803C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1763C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic
200#1753C2211yescharacteristic
201#1753C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×AGL(1,ℤ/8)—24no—
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C22×Q16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222#550—42no—
223#550—42no—
224#547—42no—
225#547—42no—
226#546—42no—
227#546—42no—
228#542—42no—
229#542—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127—21no—
233C2×#127C2311yescharacteristic
234C2×#126—21no—
235C2×#124—21no—
236C2×#124—21no—
237C2×#124C2311yescharacteristic
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×#120—21no—
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×D4—21no—
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C22⋊C4—21no—
282C22×C22⋊C4—21no—
283#474—42no—
284#469—42no—
285#460—42no—
286#452—24no—
287#452—42no—
288#452—42no—
289#449—24no—
290#449—42no—
291#449—42no—
292#449—42no—
293#447—42no—
294#442—42no—
295C4×Q16—42no—
296C4×SD16—42no—
297C4×D8—42no—
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307#417—42no—
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352#400—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#399—21no—
357#398—21no—
358#398—21no—
359#398D411yescharacteristic
360#397—21no—
361#397D411yescharacteristic
362#396—21no—
363#396—21no—
364#396—21no—
365#396D411yescharacteristic
366#396D411yescharacteristic
367#395—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#394—21no—
380#394D411yescharacteristic
381#394D411yescharacteristic
382#394D411yescharacteristic
383#393—21no—
384#393—21no—
385#393—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392D411yescharacteristic
392#391—21no—
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#389—21no—
412#389—21no—
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#387—21no—
424#387—21no—
425#387—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#386—21no—
440#386—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#384C2311yescharacteristic
451#384C2311yescharacteristic
452#382—21no—
453#381—21no—
454#380—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#379—21no—
467#379—21no—
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C22⋊C4—21no—
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476C2×#95—21no—
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#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—44no—
525C2×#41—82no—
526C2×#41—82no—
527C22×Q8—21no—
528C22×Q8—21no—
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×D4—21no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4C2×D411yescharacteristic
551C22×D4C2×D411yescharacteristic
552C22×D4C2×D411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570AGL(1,ℤ/8)—416no—
571C2×Q16—22no—
572C2×Q16—22no—
573C2×Q16—41no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16#4114yescomplemented
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×M16—22no—
599C2×M16—41no—
600C2×M16—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C4⋊Q8—22no—
613C4⋊Q8—41no—
614C4⋊Q8—41no—
615C4⋊Q8—41no—
616#127—22no—
617#127—41no—
618#127—44no—
619#126—44no—
620#124—22no—
621#124—22no—
622#124—44no—
623#124—82no—
624#123—44no—
625#123—44no—
626#123—44no—
627#123—44no—
628#123—82no—
629#123—82no—
630C22⋊Q8—22no—
631C22⋊Q8—22no—
632C22⋊Q8—22no—
633C22⋊Q8—44no—
634C22⋊Q8—44no—
635C22⋊Q8—41no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—82no—
639C22⋊Q8—82no—
640#121—22no—
641#121—22no—
642#121—22no—
643#121—22no—
644#121—22no—
645#121—22no—
646#121—22no—
647#121—44no—
648#121—44no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—41no—
653#121—41no—
654#121—44no—
655#121—41no—
656#121—41no—
657#121—82no—
658#121—82no—
659#121—82no—
660#120—44no—
661#120—82no—
662C4×Q8—22no—
663C4×Q8—22no—
664C4×Q8—41no—
665C4×Q8—41no—
666C4×Q8—41no—
667C4×Q8—41no—
668C4×D4—22no—
669C4×D4—22no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—44no—
685#117—41no—
686#117—41no—
687C2×C4⋊C4—22no—
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—41no—
707C2×C4⋊C4—41no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—44no—
768C2×C22⋊C4—82no—
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C42—21no—
782C2×C42—21no—
783C2×C42—21no—
784C2×C42—21no—
785C2×C42—21no—
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789C2×C42C2411yescharacteristic
790#107—22no—
791#107—41no—
792#107—41no—
793#106—41no—
794#106—41no—
795#106—41no—
796#106—41no—
797C4⋊C8—41no—
798C4⋊C8—41no—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—22no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
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—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839#97—41no—
840C4×C8—41no—
841C4×C8—41no—
842C4×C8—41no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—42no—
876C24—42no—
877C24—42no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24C22×D411yescharacteristic
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885#41—44no—
886#41—44no—
887#41—82no—
888#41—82no—
889#41—82no—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—816no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—42no—
909C2×Q8—42no—
910C2×Q8—42no—
911C2×Q8—81no—
912C2×Q8—81no—
913C2×Q8—81no—
914C2×Q8C2×#4112yes—
915C2×Q8H(5,𝔽2)12yes—
916C2×D4—24no—
917C2×D4—22no—
918C2×D4—22no—
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—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—44no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4C2×#4112yes—
990C2×D4H(5,𝔽2)12yes—
991C2×D4H(5,𝔽2)12yes—
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—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C2511yescharacteristic
1064Q16—44no—
1065SD16—44no—
1066SD16—44no—
1067SD16—44no—
1068SD16—82no—
1069D8—28no—
1070D8—44no—
1071D8—82no—
1072D8—82no—
1073M16—44no—
1074M16—82no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8C2×#4112yes—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4H(5,𝔽2)12yes—
1144C22⋊C4—24no—
1145C22⋊C4—24no—
1146C22⋊C4—24no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—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—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—42no—
1206C42—42no—
1207C42—81no—
1208C42—81no—
1209C42—81no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—22no—
1218C23—21no—
1219C23—21no—
1220C23—22no—
1221C23—22no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
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—41no—
1258C23—41no—
1259C23—84no—
1260C23—84no—
1261C23—84no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23C23×D411yescharacteristic
1267Q8—22no—
1268Q8—22no—
1269Q8—22no—
1270Q8—22no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—84no—
1276Q8—162no—
1277D4—22no—
1278D4—22no—
1279D4—22no—
1280D4—22no—
1281D4—22no—
1282D4—22no—
1283D4—44no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—82no—
1295D4—84no—
1296D4—84no—
1297D4—82no—
1298D4—84no—
1299D4—84no—
1300D4—84no—
1301D4—84no—
1302D4—84no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
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—22no—
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—22no—
1330C2×C4—22no—
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—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—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—84no—
1389C2×C4—84no—
1390C2×C4—84no—
1391C2×C4—84no—
1392C2×C4—84no—
1393C2×C4—84no—
1394C2×C4—162no—
1395C2×C4—162no—
1396C2×C4—162no—
1397C2×C4—162no—
1398C2×C4#57612yes—
1399C2×C4#57712yes—
1400C2×C4C22×#4111yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4#58511yescharacteristic
1406C8—22no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—42no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—42no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—42no—
1440C22—42no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
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—168no—
1464C22D4×#4111yescharacteristic
1465C22#348411yescharacteristic
1466C22#348411yescharacteristic
1467C22C2×#57611yescharacteristic
1468C22C2×#57711yescharacteristic
1469C22#358511yescharacteristic
1470C22#358611yescharacteristic
1471C4—22no—
1472C4—22no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—42no—
1477C4—42no—
1478C4—41no—
1479C4—42no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4#349011yescharacteristic
1495C4#351911yescharacteristic
1496C4#353411yescharacteristic
1497C4#355811yescharacteristic
1498C2—81no—
1499C2—81no—
1500C2—81no—
1501C2—82no—
1502C2—82no—
1503C2—82no—
1504C2—161no—
1505C2#4311811yescharacteristic
1506C2#6154511yescharacteristic
1507C2#6155411yescharacteristic
1508C2#6160911yescharacteristic
1509C2#6162011yescharacteristic
1510C2#6165611yescharacteristic
1511C2#6166811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45079C2semidirect
2. #44930C2semidirect
3. #32014C2semidirect
4. #31667C2semidirect
5. #31634C2semidirect
6. #31520C2semidirect
7. #31336C2semidirect
8. #31279C2semidirect
9. #31059C2semidirect
10. #30418C2semidirect
11. #29418C2semidirect
12. #29005C2semidirect
13. #27222C2semidirect
14. #26984C2semidirect
15. #26893C2semidirect
16. #26660C2semidirect
17. #26593C2semidirect
18. #25159C2semidirect
19. #24907C2semidirect
20. #24444C2semidirect
21. #24242C2semidirect
22. #24116C2semidirect
23. #23972C2semidirect
24. #23947C2semidirect
25. #23869C2semidirect
26. #23863C2semidirect
27. #23583C2semidirect
28. #22879C2semidirect
29. #22442C2semidirect
30. #22332C2semidirect
31. #22055C2semidirect
34. C2×#547C22semidirect
39. C2×#460C22semidirect
42. C2×#452C22semidirect
49. C2×C4×Q16C22semidirect
50. C2×C4×SD16C22semidirect
71. #2451C22semidirect
73. #2445C22semidirect
77. #2428C22semidirect
84. #2407C22semidirect
87. #2360C22semidirect
92. #2324C22semidirect
93. #2311C22semidirect
94. #2099C22semidirect
95. #2096C22semidirect
96. #2084C22semidirect
99. #2077C22semidirect
101. #2071C22semidirect
104. #2058C22semidirect
105. #2056C22semidirect
109. #2035C22semidirect
110. #2035C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
116. #2033C22semidirect
117. #2033C22semidirect
118. #2024C22semidirect
119. #2024C22semidirect
121. #2023C22semidirect
122. #2023C22semidirect
130. #2000C22semidirect
134. #1990C22semidirect
138. #1968C22semidirect
139. #1957C22semidirect
141. #1954C22semidirect
142. #1936C22semidirect
145. #1933C22semidirect
146. #1928C22semidirect
147. #1926C22semidirect
149. #1925C22semidirect
151. #1923C22semidirect
152. #1919C22semidirect
153. #1918C22semidirect
154. #1916C22semidirect
155. #1916C22semidirect
157. #1895C22semidirect
159. #1894C22semidirect
162. #1880C22semidirect
169. #1878C22semidirect
173. #1877C22semidirect
177. #1872C22semidirect
181. #1870C22semidirect
183. #1864C22semidirect
184. #1863C22semidirect
185. #1863C22semidirect
186. #1852C22semidirect
187. #1852C22semidirect
188. #1824C22semidirect
189. #1818C22semidirect
191. #1803C22semidirect
192. #1802C22semidirect
195. #1788C22semidirect
198. #1763C22semidirect
201. #1753C22semidirect
202. #1750C22semidirect
585. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#450792
#449302
#320142
#316672
#316342
#315202
#313362
#312792
#310592
#304182
#294182
#290052
#272222
#269842
#268932
#266602
#265932
#251592
#249072
#244442
#242422
#241162
#239722
#239472
#238692
#238632
#235832
#228792
#224422
#223322
#220552