Finite Group Databasebeta

← #7302602

Subgroups — #7302602

Order 512.

1811 conjugacy classes of subgroups.

The subgroup lattice has 1489 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59000C211yesmaximal, characteristic, complemented
2#39733C211yesmaximal, characteristic, complemented
3#31773C211yesmaximal, characteristic, complemented
4#31337C211yesmaximal, characteristic, complemented
5#31311C211yesmaximal, characteristic, complemented
6#31297C211yesmaximal, characteristic, complemented
7#31191C211yesmaximal, characteristic, complemented
8#31130C211yesmaximal, characteristic, complemented
9#31032C211yesmaximal, characteristic, complemented
10#31003C211yesmaximal, characteristic, complemented
11#30723C211yesmaximal, characteristic, complemented
12#30639C211yesmaximal, characteristic, complemented
13#30576C211yesmaximal, characteristic, complemented
14#30533C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#29600C211yesmaximal, characteristic, complemented
17#27123C211yesmaximal, characteristic, complemented
18#27040C211yesmaximal, characteristic, complemented
19#26927C211yesmaximal, characteristic, complemented
20#26815C211yesmaximal, characteristic, complemented
21#26617C211yesmaximal, characteristic, complemented
22#26548C211yesmaximal, characteristic, complemented
23#26249C211yesmaximal, characteristic, complemented
24#25890C211yesmaximal, characteristic, complemented
25#24878C211yesmaximal, characteristic, complemented
26#24450C211yesmaximal, characteristic, complemented
27#24245C211yesmaximal, characteristic, complemented
28#24050C211yesmaximal, characteristic, complemented
29#24007C211yesmaximal, characteristic, complemented
30#24007C211yesmaximal, characteristic, complemented
31#23308C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#488C2211yescharacteristic, complemented
37C2×#484C2211yescharacteristic, complemented
38C2×#484C2211yescharacteristic, complemented
39C2×#481C2211yescharacteristic
40C2×#481C2211yescharacteristic
41C2×#485C2211yescharacteristic, complemented
42C2×#482C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic, complemented
44C2×#478C2211yescharacteristic, complemented
45C2×#468C2211yescharacteristic, complemented
46C2×#463C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#447C2211yescharacteristic, complemented
50C2×C4×D8C2211yescharacteristic, complemented
51C2×#418C2211yescharacteristic, complemented
52#2847C2211yescharacteristic, complemented
53#2786—21no—
54#2778—21no—
55#2756—21no—
56#2750—21no—
57#2679—21no—
58#2668—21no—
59#2617—21no—
60#2562C2211yescharacteristic
61#2542C2211yescharacteristic
62#2535C2211yescharacteristic
63#2510—21no—
64#2495C2211yescharacteristic, complemented
65#2494C2211yescharacteristic, complemented
66#2490C2211yescharacteristic, complemented
67#2485C2211yescharacteristic
68#2455—21no—
69#2444—21no—
70#2442C2211yescharacteristic, complemented
71#2432C2211yescharacteristic
72#2432C2211yescharacteristic
73#2427C2211yescharacteristic
74#2427C2211yescharacteristic
75#2422—21no—
76#2422—21no—
77#2420C2211yescharacteristic, complemented
78#2418—21no—
79#2418—21no—
80#2416C2211yescharacteristic
81#2415C2211yescharacteristic
82#2415C2211yescharacteristic
83#2414C2211yescharacteristic
84#2408C2211yescharacteristic
85#2363C2211yescharacteristic
86#2363C2211yescharacteristic
87#2361C2211yescharacteristic, complemented
88#2358—21no—
89#2352C2211yescharacteristic
90#2321—21no—
91C4×#120C2211yescharacteristic
92C2×#380C2211yescharacteristic, complemented
93#2097C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2088C2211yescharacteristic, complemented
96#2085C2211yescharacteristic, complemented
97#2077C2211yescharacteristic, complemented
98#2073C2211yescharacteristic, complemented
99#2068C2211yescharacteristic, complemented
100#2067C2211yescharacteristic, complemented
101#2066C2211yescharacteristic, complemented
102#2065C2211yescharacteristic, complemented
103#2059C2211yescharacteristic, complemented
104#2054C2211yescharacteristic, complemented
105#2043C2211yescharacteristic, complemented
106#2042C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2036C2211yescharacteristic, complemented
110#2036C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2035C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2035C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2035C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic
122#2034C2211yescharacteristic, complemented
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic
129#2026C2211yescharacteristic, complemented
130#2013C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1983C2211yescharacteristic, complemented
142#1981C2211yescharacteristic, complemented
143#1972C2211yescharacteristic, complemented
144#1968C2211yescharacteristic, complemented
145#1960C2211yescharacteristic, complemented
146#1958C2211yescharacteristic, complemented
147#1955C2211yescharacteristic
148#1954C2211yescharacteristic
149#1954C2211yescharacteristic
150#1949C2211yescharacteristic, complemented
151#1942C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1927C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1923C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1877C2211yescharacteristic, complemented
170#1874C2211yescharacteristic
171#1874C2211yescharacteristic
172#1873C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic
178#1864C2211yescharacteristic, complemented
179#1864C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1862C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1825C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1809C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1788C2211yescharacteristic
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1779C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×M16C2311yescharacteristic
212#546—42no—
213#546—42no—
214#546—42no—
215#546—42no—
216C2×C4⋊Q8C2311yescharacteristic
217C2×#125C2311yescharacteristic
218C2×#124C2311yescharacteristic
219C2×#124C2311yescharacteristic
220#525—42no—
221#525—42no—
222#525—42no—
223#525—42no—
224C2×#123—21no—
225C2×#123—21no—
226C2×#123—21no—
227C2×#123—21no—
228C2×C22⋊Q8C2311yescharacteristic
229C2×C22⋊Q8C2311yescharacteristic
230C2×C22⋊Q8C2311yescharacteristic
231C2×C22⋊Q8C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×C22⋊Q8C2311yescharacteristic
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#120—21no—
246C2×#120—21no—
247C2×#120—21no—
248C2×#120—21no—
249C2×#120—21no—
250C2×#120—21no—
251C2×#120D411yescharacteristic
252C2×C4×D4—21no—
253C2×C4×D4—21no—
254C2×C4×D4—21no—
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C2×#117C2311yescharacteristic
265C2×#117C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271#488—42no—
272#485—42no—
273#484—42no—
274#484—42no—
275#482—42no—
276#482—42no—
277#481—42no—
278#481—42no—
279#478—42no—
280#468—42no—
281#463—42no—
282#449—42no—
283#449—42no—
284#447—42no—
285C4×D8—42no—
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301#418—42no—
302C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352#401—21no—
353#400—21no—
354#400—21no—
355#400—21no—
356#399—21no—
357#399—21no—
358#398—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#396—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#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#389—21no—
400#389—21no—
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#388—21no—
408#388—21no—
409#388—21no—
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#387—21no—
421#387—21no—
422#387—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386D411yescharacteristic
437#386D411yescharacteristic
438#386D411yescharacteristic
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385D411yescharacteristic
446#385D411yescharacteristic
447#385D411yescharacteristic
448#384—21no—
449#383—21no—
450#382C2311yescharacteristic
451#382C2311yescharacteristic
452#381—21no—
453#380—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#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379—21no—
469#379D411yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C2×#95—21no—
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#340C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25C2×D411yescharacteristic
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—
515C2×#41—41no—
516C22×Q8C2411yescharacteristic
517C22×Q8C2411yescharacteristic
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—22no—
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—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4C2×D411yescharacteristic
536C22×D4C2×D411yescharacteristic
537C22×D4C2×D411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4C2×D411yescharacteristic
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×M16—41no—
574C2×M16—41no—
575C2×M16—41no—
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C4⋊Q8—41no—
585C4⋊Q8—41no—
586#125—41no—
587#125—41no—
588#124—22no—
589#124—22no—
590#124—41no—
591#124—41no—
592#123—44no—
593#123—44no—
594#123—44no—
595#123—44no—
596C22⋊Q8—22no—
597C22⋊Q8—22no—
598C22⋊Q8—22no—
599C22⋊Q8—22no—
600C22⋊Q8—41no—
601C22⋊Q8—41no—
602C22⋊Q8—41no—
603C22⋊Q8—41no—
604C22⋊Q8—41no—
605C22⋊Q8—41no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608#121—22no—
609#121—22no—
610#121—22no—
611#121—22no—
612#121—22no—
613#121—22no—
614#121—41no—
615#121—41no—
616#121—41no—
617#121—41no—
618#121—44no—
619#121—44no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—82no—
627#120—42no—
628#120—44no—
629#120—44no—
630#120—44no—
631#120—44no—
632#120—44no—
633#120—44no—
634C4×D4—22no—
635C4×D4—22no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—44no—
647C4×D4—44no—
648C4×D4—44no—
649C4×D4—44no—
650C4×D4—82no—
651#117—22no—
652#117—22no—
653#117—41no—
654#117—41no—
655#117—41no—
656#117—41no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
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—44no—
736C2×C22⋊C4—44no—
737C2×C22⋊C4—82no—
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42C2411yescharacteristic
757C2×C42C2411yescharacteristic
758C2×C42C2411yescharacteristic
759#107—22no—
760#107—22no—
761#107—22no—
762#107—22no—
763#107—41no—
764#107—41no—
765#106—22no—
766#106—22no—
767#106—41no—
768#106—41no—
769#106—41no—
770#106—41no—
771C4⋊C8—41no—
772C4⋊C8—41no—
773C4⋊C8—41no—
774#103—41no—
775#103—41no—
776#103—41no—
777#103—41no—
778#103—41no—
779#103—41no—
780#103—41no—
781#103—41no—
782#103—41no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806C22⋊C8—41no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809C22⋊C8—41no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821#97—41no—
822C4×C8—41no—
823C4×C8—41no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
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#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857C24—21no—
858C24—21no—
859C24—22no—
860C24—21no—
861C24—41no—
862C24—41no—
863C24—41no—
864C24—41no—
865C24—41no—
866C24—41no—
867C24—42no—
868C24—42no—
869C24—42no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878#41—82no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885#41—82no—
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×D4—24no—
899C2×D4—24no—
900C2×D4—22no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—41no—
918C2×D4—41no—
919C2×D4—41no—
920C2×D4—41no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—44no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—81no—
942C2×D4—82no—
943C2×D4—82no—
944C2×D4—82no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4H(5,𝔽2)12yes—
961C2×D4H(5,𝔽2)12yes—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
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—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
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—82no—
1026C22×C4—82no—
1027C22×C4—82no—
1028C22×C4—82no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C2511yescharacteristic
1044SD16—82no—
1045SD16—82no—
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—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C4⋊C4—21no—
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—21no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
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—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4H(5,𝔽2)12yes—
1115C4⋊C4H(5,𝔽2)12yes—
1116C22⋊C4—24no—
1117C22⋊C4—24no—
1118C22⋊C4—22no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
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—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—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—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—42no—
1177C42—42no—
1178C42—81no—
1179C42—81no—
1180C42—81no—
1181C42—81no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—22no—
1198C23—22no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—44no—
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—82no—
1232C23—82no—
1233C23—82no—
1234C23—82no—
1235C23—82no—
1236C23—82no—
1237C23—84no—
1238C23—84no—
1239C23—84no—
1240C23—162no—
1241C23—162no—
1242C23—162no—
1243C23—162no—
1244C23#57512yes—
1245C23C23×D411yescharacteristic
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254D4—22no—
1255D4—22no—
1256D4—22no—
1257D4—22no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—82no—
1267D4—84no—
1268D4—84no—
1269D4—82no—
1270D4—82no—
1271D4—84no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—84no—
1276D4—84no—
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—21no—
1294C2×C4—21no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—21no—
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—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—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—82no—
1366C2×C4—82no—
1367C2×C4—82no—
1368C2×C4—84no—
1369C2×C4—84no—
1370C2×C4—162no—
1371C2×C4—162no—
1372C2×C4—162no—
1373C2×C4—162no—
1374C2×C4—162no—
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4C2×H(5,𝔽2)11yescharacteristic
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4#58511yescharacteristic
1380C2×C4#58511yescharacteristic
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—42no—
1407C22—42no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—42no—
1413C22—42no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—42no—
1422C22—42no—
1423C22—88no—
1424C22—81no—
1425C22—81no—
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—168no—
1440C22#348411yescharacteristic
1441C22#348411yescharacteristic
1442C22#348511yescharacteristic
1443C22C2×#57511yescharacteristic
1444C22#358411yescharacteristic
1445C22#358411yescharacteristic
1446C22#358511yescharacteristic
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—42no—
1454C4—42no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4#353411yescharacteristic
1471C4#354211yescharacteristic
1472C4#354611yescharacteristic
1473C4#355811yescharacteristic
1474C2—42no—
1475C2—81no—
1476C2—81no—
1477C2—81no—
1478C2—82no—
1479C2—82no—
1480C2—161no—
1481C2#4782911yescharacteristic
1482C2#6160611yescharacteristic
1483C2#6160611yescharacteristic
1484C2#6161411yescharacteristic
1485C2#6161411yescharacteristic
1486C2#6171811yescharacteristic
1487C2#6176911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59000C2semidirect
2. #39733C2semidirect
3. #31773C2semidirect
4. #31337C2semidirect
5. #31311C2semidirect
6. #31297C2semidirect
7. #31191C2semidirect
8. #31130C2semidirect
9. #31032C2semidirect
10. #31003C2semidirect
11. #30723C2semidirect
12. #30639C2semidirect
13. #30576C2semidirect
14. #30533C2semidirect
15. #29600C2semidirect
16. #29600C2semidirect
17. #27123C2semidirect
18. #27040C2semidirect
19. #26927C2semidirect
20. #26815C2semidirect
21. #26617C2semidirect
22. #26548C2semidirect
23. #26249C2semidirect
24. #25890C2semidirect
25. #24878C2semidirect
26. #24450C2semidirect
27. #24245C2semidirect
28. #24050C2semidirect
29. #24007C2semidirect
30. #24007C2semidirect
31. #23308C2semidirect
36. C2×#488C22semidirect
37. C2×#484C22semidirect
38. C2×#484C22semidirect
41. C2×#485C22semidirect
42. C2×#482C22semidirect
43. C2×#482C22semidirect
44. C2×#478C22semidirect
45. C2×#468C22semidirect
46. C2×#463C22semidirect
49. C2×#447C22semidirect
50. C2×C4×D8C22semidirect
51. C2×#418C22semidirect
52. #2847C22semidirect
64. #2495C22semidirect
65. #2494C22semidirect
66. #2490C22semidirect
70. #2442C22semidirect
77. #2420C22semidirect
87. #2361C22semidirect
92. C2×#380C22semidirect
93. #2097C22semidirect
94. #2092C22semidirect
95. #2088C22semidirect
96. #2085C22semidirect
97. #2077C22semidirect
98. #2073C22semidirect
99. #2068C22semidirect
100. #2067C22semidirect
101. #2066C22semidirect
102. #2065C22semidirect
103. #2059C22semidirect
104. #2054C22semidirect
105. #2043C22semidirect
106. #2042C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2036C22semidirect
110. #2036C22semidirect
111. #2036C22semidirect
112. #2036C22semidirect
113. #2035C22semidirect
114. #2035C22semidirect
115. #2035C22semidirect
116. #2035C22semidirect
117. #2035C22semidirect
118. #2035C22semidirect
119. #2035C22semidirect
122. #2034C22semidirect
129. #2026C22semidirect
130. #2013C22semidirect
131. #2012C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
141. #1983C22semidirect
142. #1981C22semidirect
143. #1972C22semidirect
144. #1968C22semidirect
145. #1960C22semidirect
146. #1958C22semidirect
150. #1949C22semidirect
151. #1942C22semidirect
152. #1941C22semidirect
153. #1936C22semidirect
154. #1933C22semidirect
155. #1927C22semidirect
156. #1926C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1923C22semidirect
162. #1923C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1921C22semidirect
166. #1918C22semidirect
167. #1894C22semidirect
168. #1879C22semidirect
169. #1877C22semidirect
172. #1873C22semidirect
173. #1872C22semidirect
174. #1872C22semidirect
178. #1864C22semidirect
179. #1864C22semidirect
180. #1862C22semidirect
181. #1862C22semidirect
182. #1854C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1825C22semidirect
188. #1825C22semidirect
189. #1809C22semidirect
190. #1804C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1779C22semidirect
200. #1779C22semidirect
201. #1776C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#590002
#397332
#317732
#313372
#313112
#312972
#311912
#311302
#310322
#310032
#307232
#306392
#305762
#305332
#296002
#271232
#270402
#269272
#268152
#266172
#265482
#262492
#258902
#248782
#244502
#242452
#240502
#240072
#233082