Finite Group Databasebeta

← #6785154

Subgroups — #6785154

Order 512.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1495 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38902C211yesmaximal, characteristic, complemented
2#38033C211yesmaximal, characteristic, complemented
3#33131C211yesmaximal, characteristic, complemented
4#32675C211yesmaximal, characteristic, complemented
5#32663C211yesmaximal, characteristic, complemented
6#32606C211yesmaximal, characteristic, complemented
7#32603C211yesmaximal, characteristic, complemented
8#31198C211yesmaximal, characteristic, complemented
9#31066C211yesmaximal, characteristic, complemented
10#31026C211yesmaximal, characteristic, complemented
11#31021C211yesmaximal, characteristic, complemented
12#30329C211yesmaximal, characteristic, complemented
13#30320C211yesmaximal, characteristic, complemented
14#29490C211yesmaximal, characteristic, complemented
15#29477C211yesmaximal, characteristic, complemented
16#28325C211yesmaximal, characteristic, complemented
17#28318C211yesmaximal, characteristic, complemented
18#26150C211yesmaximal, characteristic, complemented
19#26143C211yesmaximal, characteristic, complemented
20#24869C211yesmaximal, characteristic, complemented
21#24866C211yesmaximal, characteristic, complemented
22#24517C211yesmaximal, characteristic, complemented
23#24512C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24427C211yesmaximal, characteristic, complemented
26#23869C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#22059C211yesmaximal, characteristic, complemented
29#22045C211yesmaximal, characteristic, complemented
30#21381C211yesmaximal, characteristic, complemented
31#21235C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#529C2211yescharacteristic
36C2×#481C2211yescharacteristic, complemented
37C2×#485C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic
39C2×#480C2211yescharacteristic, complemented
40C2×#465C2211yescharacteristic
41C2×#452C2211yescharacteristic
42C2×#452C2211yescharacteristic
43C2×#452C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#433C2211yescharacteristic
50C2×#428C2211yescharacteristic
51C2×#416C2211yescharacteristic
52C22×#102C2211yescharacteristic
53C2×#405C2211yescharacteristic
54#2854C2211yescharacteristic, complemented
55#2850C2211yescharacteristic
56#2709—21no—
57#2703—21no—
58#2696—21no—
59#2694—21no—
60#2684—21no—
61#2673—21no—
62#2672—21no—
63#2668—21no—
64#2625C2211yescharacteristic
65#2624C2211yescharacteristic
66#2624C2211yescharacteristic
67#2619C2211yescharacteristic, complemented
68#2592C2211yescharacteristic
69#2581C2211yescharacteristic, complemented
70#2580C2211yescharacteristic
71#2559—21no—
72#2559—21no—
73#2555—21no—
74#2548C2211yescharacteristic, complemented
75#2480—21no—
76#2467—21no—
77#2464—21no—
78#2460—21no—
79#2418—21no—
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic
82#2415C2211yescharacteristic
83#2414C2211yescharacteristic, complemented
84#2408C2211yescharacteristic
85#2407C2211yescharacteristic
86#2407C2211yescharacteristic
87#2407C2211yescharacteristic, complemented
88#2352C2211yescharacteristic
89#2352C2211yescharacteristic
90#2323C2211yescharacteristic, complemented
91#2311C2211yescharacteristic
92#2311C2211yescharacteristic
93#2309C2211yescharacteristic
94C4×#121C2211yescharacteristic
95#2297C2211yescharacteristic, complemented
96#2097C2211yescharacteristic, complemented
97#2097C2211yescharacteristic, complemented
98#2092C2211yescharacteristic
99#2092C2211yescharacteristic, complemented
100#2085C2211yescharacteristic, complemented
101#2085C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2075C2211yescharacteristic, complemented
104#2073C2211yescharacteristic
105#2073C2211yescharacteristic, complemented
106#2067C2211yescharacteristic
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic
109#2065C2211yescharacteristic, complemented
110#2056C2211yescharacteristic, complemented
111#2055C2211yescharacteristic, complemented
112#2054C2211yescharacteristic
113#2054C2211yescharacteristic
114#2042C2211yescharacteristic
115#2041C2211yescharacteristic, complemented
116#2036C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2014C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic, complemented
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1985C2211yescharacteristic, complemented
137#1984C2211yescharacteristic, complemented
138#1973C2211yescharacteristic
139#1973C2211yescharacteristic
140#1973C2211yescharacteristic, complemented
141#1973C2211yescharacteristic, complemented
142#1972C2211yescharacteristic
143#1972C2211yescharacteristic
144#1972C2211yescharacteristic
145#1971C2211yescharacteristic, complemented
146#1970C2211yescharacteristic
147#1970C2211yescharacteristic
148#1970C2211yescharacteristic
149#1968C2211yescharacteristic
150#1968C2211yescharacteristic
151#1968C2211yescharacteristic, complemented
152#1955C2211yescharacteristic, complemented
153#1954C2211yescharacteristic, complemented
154#1943C2211yescharacteristic, complemented
155#1943C2211yescharacteristic, complemented
156#1936C2211yescharacteristic
157#1936C2211yescharacteristic, complemented
158#1934C2211yescharacteristic
159#1934C2211yescharacteristic, complemented
160#1934C2211yescharacteristic, complemented
161#1933C2211yescharacteristic, complemented
162#1933C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1928C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1926C2211yescharacteristic
167#1926C2211yescharacteristic, complemented
168#1925C2211yescharacteristic
169#1925C2211yescharacteristic, complemented
170#1921C2211yescharacteristic, complemented
171#1920C2211yescharacteristic, complemented
172#1895C2211yescharacteristic
173#1894C2211yescharacteristic
174#1880C2211yescharacteristic
175#1880C2211yescharacteristic
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic
180#1875C2211yescharacteristic
181#1875C2211yescharacteristic
182#1872C2211yescharacteristic
183#1872C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic
188#1865C2211yescharacteristic, complemented
189#1864C2211yescharacteristic
190#1854C2211yescharacteristic
191#1854C2211yescharacteristic, complemented
192#1853C2211yescharacteristic
193#1853C2211yescharacteristic, complemented
194#1808C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1750C2211yescharacteristic, complemented
200#1750C2211yescharacteristic, complemented
201#1749C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#550—42no—
222#550—42no—
223#546—42no—
224#546—42no—
225C2×#127—21no—
226C2×#127C2311yescharacteristic
227#529—42no—
228#529—42no—
229C2×#126D411yescharacteristic
230C2×#126D411yescharacteristic
231C2×#125D411yescharacteristic
232C2×#124—21no—
233C2×#124D411yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×#123D411yescharacteristic
238C2×#123D411yescharacteristic
239C2×C22⋊Q8D411yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121D411yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#120—21no—
257C2×#120—21no—
258C2×C4×Q8C2311yescharacteristic
259C2×C4×Q8C2311yescharacteristic
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×#117C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C22⋊C4—21no—
273C22×C42C2311yescharacteristic
274#485—42no—
275#482—42no—
276#481—42no—
277#480—42no—
278#465—42no—
279#452—24no—
280#452—42no—
281#452—42no—
282#449—24no—
283#449—42no—
284#449—42no—
285#449—42no—
286#447—42no—
287#433—42no—
288#428—42no—
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302#416—42no—
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#102—42no—
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×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
344#405—42no—
345C2×#97C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351#400—21no—
352#400—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#398—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#396—21no—
364#396—21no—
365#395—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#393—21no—
383#393—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#389—21no—
414#389—21no—
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387—21no—
438#387—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#382C2311yescharacteristic
462#382C2311yescharacteristic
463#380—21no—
464#380—21no—
465#380—21no—
466#380—21no—
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C22⋊C4—21no—
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
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#340C2311yescharacteristic
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—
524C22×Q8C2×D411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×D4—22no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2×D411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4C2×D411yescharacteristic
560C23×C4C2×D411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564AGL(1,ℤ/8)—416no—
565C2×Q16—22no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16#4114yes—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×M16—22no—
593C2×M16—22no—
594C2×M16—22no—
595C22×C8—22no—
596C22×C8—22no—
597C22×C8—41no—
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606#127—41no—
607#127—41no—
608#127—44no—
609#126—42no—
610#126—42no—
611#125—42no—
612#124—41no—
613#124—41no—
614#124—42no—
615#124—82no—
616#123—42no—
617#123—42no—
618#123—44no—
619#123—82no—
620C22⋊Q8—22no—
621C22⋊Q8—22no—
622C22⋊Q8—22no—
623C22⋊Q8—42no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—42no—
631#121—44no—
632#121—44no—
633#121—44no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—82no—
646#121—82no—
647#120—44no—
648#120—82no—
649C4×Q8—41no—
650C4×Q8—41no—
651C4×Q8—41no—
652C4×Q8—41no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—44no—
662C4×D4—82no—
663#117—22no—
664#117—22no—
665#117—41no—
666#117—41no—
667#117—41no—
668#117—41no—
669#117—41no—
670#117—41no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4—41no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—44no—
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—41no—
769C2×C42—41no—
770C2×C42C2×D411yescharacteristic
771C2×C42C2×D411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776#107—22no—
777#107—22no—
778#107—41no—
779#107—41no—
780#107—41no—
781#106—22no—
782#106—41no—
783#106—41no—
784#106—41no—
785#106—41no—
786#106—41no—
787C4⋊C8—41no—
788C4⋊C8—41no—
789#103—22no—
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#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829#97—41no—
830#97—41no—
831#97—41no—
832C4×C8—41no—
833C4×C8—41no—
834C4×C8—41no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#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—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—42no—
870C24—42no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878C24C22×D411yescharacteristic
879#41—44no—
880#41—44no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885#41—82no—
886#41—82no—
887#41—82no—
888#41—82no—
889#41—82no—
890#41—82no—
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—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—41no—
903C2×Q8—41no—
904C2×Q8—41no—
905C2×Q8C2×#4112yes—
906C2×D4—22no—
907C2×D4—22no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—41no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
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×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4C2×#4112yes—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×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×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4H(5,𝔽2)12yes—
1046C22×C4H(5,𝔽2)12yes—
1047C22×C4C2511yescharacteristic
1048Q16—82no—
1049SD16—44no—
1050SD16—44no—
1051SD16—82no—
1052SD16—82no—
1053D8—44no—
1054D8—44no—
1055D8—82no—
1056D8—82no—
1057M16—28no—
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—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—44no—
1080C2×C8C2×#4112yes—
1081C2×C8H(5,𝔽2)12yes—
1082C2×C8H(5,𝔽2)12yes—
1083C4⋊C4—22no—
1084C4⋊C4—22no—
1085C4⋊C4—22no—
1086C4⋊C4—22no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
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—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—41no—
1189C42—41no—
1190C42—42no—
1191C42—81no—
1192C42—81no—
1193C42—81no—
1194C42—81no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
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—21no—
1212C23—22no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—84no—
1244C23—84no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23—162no—
1250C23#53412yes—
1251C23C23×D411yescharacteristic
1252Q8—22no—
1253Q8—22no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—82no—
1261D4—22no—
1262D4—22no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—84no—
1278D4—82no—
1279D4—82no—
1280D4—84no—
1281D4—82no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
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—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—22no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
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—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—84no—
1374C2×C4—82no—
1375C2×C4—82no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4—162no—
1379C2×C4—162no—
1380C2×C4—162no—
1381C2×C4#53412yes—
1382C2×C4C22×#4111yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4C2×H(5,𝔽2)11yescharacteristic
1387C2×C4#58511yescharacteristic
1388C8—22no—
1389C8—22no—
1390C8—22no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—41no—
1410C22—42no—
1411C22—41no—
1412C22—42no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
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—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—168no—
1446C22C2×#53411yescharacteristic
1447C22D4×#4111yescharacteristic
1448C22#349811yescharacteristic
1449C22#358411yescharacteristic
1450C22#358411yescharacteristic
1451C22#358511yescharacteristic
1452C22#358511yescharacteristic
1453C4—22no—
1454C4—41no—
1455C4—41no—
1456C4—42no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4#349011yescharacteristic
1477C4#351911yescharacteristic
1478C4#353411yescharacteristic
1479C4#355811yescharacteristic
1480C2—42no—
1481C2—81no—
1482C2—81no—
1483C2—82no—
1484C2—161no—
1485C2—161no—
1486C2—161no—
1487C2#3842411yescharacteristic
1488C2#6076011yescharacteristic
1489C2#6076711yescharacteristic
1490C2#6150011yescharacteristic
1491C2#6150711yescharacteristic
1492C2#6246111yescharacteristic
1493C2#6246811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #38902C2semidirect
2. #38033C2semidirect
3. #33131C2semidirect
4. #32675C2semidirect
5. #32663C2semidirect
6. #32606C2semidirect
7. #32603C2semidirect
8. #31198C2semidirect
9. #31066C2semidirect
10. #31026C2semidirect
11. #31021C2semidirect
12. #30329C2semidirect
13. #30320C2semidirect
14. #29490C2semidirect
15. #29477C2semidirect
16. #28325C2semidirect
17. #28318C2semidirect
18. #26150C2semidirect
19. #26143C2semidirect
20. #24869C2semidirect
21. #24866C2semidirect
22. #24517C2semidirect
23. #24512C2semidirect
24. #24434C2semidirect
25. #24427C2semidirect
26. #23869C2semidirect
27. #23863C2semidirect
28. #22059C2semidirect
29. #22045C2semidirect
30. #21381C2semidirect
31. #21235C2semidirect
36. C2×#481C22semidirect
37. C2×#485C22semidirect
39. C2×#480C22semidirect
43. C2×#452C22semidirect
54. #2854C22semidirect
67. #2619C22semidirect
69. #2581C22semidirect
74. #2548C22semidirect
83. #2414C22semidirect
87. #2407C22semidirect
90. #2323C22semidirect
95. #2297C22semidirect
96. #2097C22semidirect
97. #2097C22semidirect
99. #2092C22semidirect
100. #2085C22semidirect
101. #2085C22semidirect
102. #2077C22semidirect
103. #2075C22semidirect
105. #2073C22semidirect
107. #2066C22semidirect
109. #2065C22semidirect
110. #2056C22semidirect
111. #2055C22semidirect
115. #2041C22semidirect
116. #2036C22semidirect
117. #2036C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
123. #2033C22semidirect
125. #2014C22semidirect
131. #2000C22semidirect
136. #1985C22semidirect
137. #1984C22semidirect
140. #1973C22semidirect
141. #1973C22semidirect
145. #1971C22semidirect
151. #1968C22semidirect
152. #1955C22semidirect
153. #1954C22semidirect
154. #1943C22semidirect
155. #1943C22semidirect
157. #1936C22semidirect
159. #1934C22semidirect
160. #1934C22semidirect
161. #1933C22semidirect
162. #1933C22semidirect
163. #1933C22semidirect
164. #1928C22semidirect
165. #1927C22semidirect
167. #1926C22semidirect
169. #1925C22semidirect
170. #1921C22semidirect
171. #1920C22semidirect
178. #1878C22semidirect
183. #1872C22semidirect
188. #1865C22semidirect
191. #1854C22semidirect
193. #1853C22semidirect
197. #1788C22semidirect
199. #1750C22semidirect
200. #1750C22semidirect
201. #1749C22semidirect
202. C4×C22⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#389022
#380332
#331312
#326752
#326632
#326062
#326032
#311982
#310662
#310262
#310212
#303292
#303202
#294902
#294772
#283252
#283182
#261502
#261432
#248692
#248662
#245172
#245122
#244342
#244272
#238692
#238632
#220592
#220452
#213812
#212352