Finite Group Databasebeta

← #7337084

Subgroups — #7337084

Order 512.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1481 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53022C211yesmaximal, characteristic, complemented
2#45002C211yesmaximal, characteristic, complemented
3#32165C211yesmaximal, characteristic, complemented
4#31921C211yesmaximal, characteristic, complemented
5#31027C211yesmaximal, characteristic, complemented
6#30988C211yesmaximal, characteristic, complemented
7#30883C211yesmaximal, characteristic, complemented
8#30745C211yesmaximal, characteristic, complemented
9#30715C211yesmaximal, characteristic, complemented
10#30591C211yesmaximal, characteristic, complemented
11#30534C211yesmaximal, characteristic, complemented
12#30474C211yesmaximal, characteristic, complemented
13#30469C211yesmaximal, characteristic, complemented
14#30463C211yesmaximal, characteristic, complemented
15#29729C211yesmaximal, characteristic, complemented
16#29673C211yesmaximal, characteristic, complemented
17#29092C211yesmaximal, characteristic, complemented
18#28985C211yesmaximal, characteristic, complemented
19#28479C211yesmaximal, characteristic, complemented
20#28326C211yesmaximal, characteristic, complemented
21#27063C211yesmaximal, characteristic, complemented
22#26945C211yesmaximal, characteristic, complemented
23#26632C211yesmaximal, characteristic, complemented
24#25783C211yesmaximal, characteristic, complemented
25#25762C211yesmaximal, characteristic, complemented
26#25611C211yesmaximal, characteristic, complemented
27#25378C211yesmaximal, characteristic, complemented
28#24909C211yesmaximal, characteristic, complemented
29#24358C211yesmaximal, characteristic, complemented
30#23852C211yesmaximal, characteristic, complemented
31#22368C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#540C2211yescharacteristic
35C2×#497C2211yescharacteristic, complemented
36C2×#496C2211yescharacteristic
37C2×#496C2211yescharacteristic
38C2×#495C2211yescharacteristic
39C2×#488C2211yescharacteristic, complemented
40C2×#484C2211yescharacteristic, complemented
41C2×#483C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic
43C2×#460C2211yescharacteristic
44C2×#463C2211yescharacteristic
45C2×#463C2211yescharacteristic, complemented
46C2×#461C2211yescharacteristic
47C2×#461C2211yescharacteristic
48C2×#461C2211yescharacteristic, complemented
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic
51C2×#452C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#451C2211yescharacteristic
54C2×#448C2211yescharacteristic
55C2×#450C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#442C2211yescharacteristic
58#2841—21no—
59#2838—21no—
60#2830—21no—
61#2826—21no—
62#2778—21no—
63#2757—21no—
64#2748—21no—
65#2737—21no—
66#2706—21no—
67#2693—21no—
68#2688—21no—
69#2668—21no—
70#2621C2211yescharacteristic, complemented
71#2620C2211yescharacteristic, complemented
72#2547C2211yescharacteristic, complemented
73#2545C2211yescharacteristic, complemented
74#2544C2211yescharacteristic
75#2540C2211yescharacteristic
76#2535—21no—
77#2514C2211yescharacteristic, complemented
78#2511C2211yescharacteristic, complemented
79#2489C2211yescharacteristic
80#2454C2211yescharacteristic
81#2447C2211yescharacteristic
82#2436C2211yescharacteristic
83#2434C2211yescharacteristic
84#2433C2211yescharacteristic
85#2431C2211yescharacteristic
86#2429C2211yescharacteristic, complemented
87#2427C2211yescharacteristic
88#2427C2211yescharacteristic, complemented
89#2424—21no—
90#2423C2211yescharacteristic
91#2420C2211yescharacteristic
92#2418—21no—
93#2416C2211yescharacteristic
94#2412—21no—
95#2409C2211yescharacteristic
96#2395C2211yescharacteristic
97#2366C2211yescharacteristic
98#2361C2211yescharacteristic
99D4×C22⋊C4C2211yescharacteristic
100#2311C2211yescharacteristic
101#2097C2211yescharacteristic, complemented
102#2092C2211yescharacteristic
103#2086C2211yescharacteristic, complemented
104#2077C2211yescharacteristic
105#2072C2211yescharacteristic, complemented
106#2071C2211yescharacteristic
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic
109#2056C2211yescharacteristic, complemented
110#2056C2211yescharacteristic, complemented
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic
113#2055C2211yescharacteristic, complemented
114#2055C2211yescharacteristic, complemented
115#2054C2211yescharacteristic
116#2043C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2041C2211yescharacteristic
120#2034C2211yescharacteristic
121#2033C2211yescharacteristic
122#2026C2211yescharacteristic, complemented
123#2026C2211yescharacteristic, complemented
124#2016C2211yescharacteristic, complemented
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic
127#2015C2211yescharacteristic, complemented
128#2015C2211yescharacteristic, complemented
129#2015C2211yescharacteristic, complemented
130#2014C2211yescharacteristic
131#2014C2211yescharacteristic
132#2014C2211yescharacteristic
133#2013C2211yescharacteristic
134#2013C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic, complemented
138#2001C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1992C2211yescharacteristic, complemented
150#1983C2211yescharacteristic
151#1983C2211yescharacteristic, complemented
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic
154#1971C2211yescharacteristic, complemented
155#1969C2211yescharacteristic, complemented
156#1968C2211yescharacteristic
157#1968C2211yescharacteristic, complemented
158#1957C2211yescharacteristic
159#1954C2211yescharacteristic
160#1940C2211yescharacteristic, complemented
161#1936C2211yescharacteristic
162#1935C2211yescharacteristic, complemented
163#1935C2211yescharacteristic, complemented
164#1933C2211yescharacteristic, complemented
165#1928C2211yescharacteristic, complemented
166#1925C2211yescharacteristic, complemented
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic, complemented
169#1924C2211yescharacteristic, complemented
170#1923C2211yescharacteristic
171#1921C2211yescharacteristic, complemented
172#1919C2211yescharacteristic, complemented
173#1916C2211yescharacteristic, complemented
174#1916C2211yescharacteristic, complemented
175#1892C2211yescharacteristic
176#1892C2211yescharacteristic
177#1880C2211yescharacteristic
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1877C2211yescharacteristic
183#1877C2211yescharacteristic
184#1877C2211yescharacteristic
185#1877C2211yescharacteristic
186#1877C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1869C2211yescharacteristic
190#1864C2211yescharacteristic, complemented
191#1862C2211yescharacteristic
192#1850C2211yescharacteristic
193#1804C2211yescharacteristic
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1787C2211yescharacteristic
197#1786C2211yescharacteristic
198#1771C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic
201#1752C2211yescharacteristic
202#1750C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16—42no—
210C22×SD16—42no—
211C22×SD16—42no—
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#546—42no—
227#546—42no—
228#540—42no—
229#540—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#125C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×C4×Q8C2311yescharacteristic
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273#497—42no—
274#496—42no—
275#496—42no—
276#495—42no—
277#488—42no—
278#484—42no—
279#483—42no—
280#466—42no—
281#463—42no—
282#463—42no—
283#461—42no—
284#461—42no—
285#461—42no—
286#460—42no—
287#452—42no—
288#452—42no—
289#452—42no—
290#451—42no—
291#450—42no—
292#449—42no—
293#448—42no—
294#447—42no—
295#442—42no—
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#401—21no—
350#400—21no—
351#400—21no—
352#400—21no—
353#400—21no—
354#400D411yescharacteristic
355#399—21no—
356#399—21no—
357#399—21no—
358#399D411yescharacteristic
359#398—21no—
360#398—21no—
361#398—21no—
362#398—21no—
363#398D411yescharacteristic
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397D411yescharacteristic
375#397D411yescharacteristic
376#397D411yescharacteristic
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#396—21no—
384#395—21no—
385#395—21no—
386#395—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394D411yescharacteristic
396#394D411yescharacteristic
397#393—21no—
398#393—21no—
399#393—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#390—21no—
416#390—21no—
417#390—21no—
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#389—21no—
425#389C2311yescharacteristic
426#389C2311yescharacteristic
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—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#386—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#384C2311yescharacteristic
464#383—21no—
465#382—21no—
466#382C2311yescharacteristic
467#381—21no—
468#381—21no—
469#380—21no—
470#380—21no—
471#380—21no—
472#380—21no—
473#380—21no—
474#380—21no—
475#380—21no—
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#379—21no—
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C22×Q8—21no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×D4—21no—
527C22×D4—22no—
528C22×D4—22no—
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—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4C2×D411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C2×Q16—22no—
559C2×Q16—41no—
560C2×Q16—41no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×Q16—41no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—416no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—22no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C22×C8—22no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C4⋊Q8—41no—
619C4⋊Q8—41no—
620C4⋊Q8—41no—
621C4⋊Q8—41no—
622#127—22no—
623#127—22no—
624#127—41no—
625#127—41no—
626#125—22no—
627#125—41no—
628#124—22no—
629#124—41no—
630#124—41no—
631#124—41no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—41no—
638#123—44no—
639#123—44no—
640#123—44no—
641C22⋊Q8—22no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651#121—22no—
652#121—22no—
653#121—41no—
654#121—41no—
655#121—44no—
656#121—44no—
657#121—44no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—82no—
665#120—44no—
666#120—82no—
667#120—82no—
668C4×Q8—41no—
669C4×Q8—41no—
670C4×D4—22no—
671C4×D4—22no—
672C4×D4—22no—
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—82no—
683C4×D4—82no—
684#117—41no—
685#117—41no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—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—44no—
762C2×C22⋊C4—82no—
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781#107—22no—
782#107—41no—
783#106—22no—
784#106—41no—
785C4⋊C8—22no—
786C4⋊C8—41no—
787C4⋊C8—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790#103—22no—
791#103—22no—
792#103—22no—
793#103—22no—
794#103—22no—
795#103—22no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829#97—22no—
830#97—41no—
831#97—41no—
832C4×C8—41no—
833C4×C8—41no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#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#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—42no—
879C24—42no—
880C24—42no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
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—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—44no—
916C2×Q8—81no—
917C2×Q8—81no—
918C2×Q8—81no—
919C2×Q8—82no—
920C2×Q8—82no—
921C2×Q8—82no—
922C2×D4—24no—
923C2×D4—22no—
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—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—41no—
947C2×D4—41no—
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—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
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×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4H(5,𝔽2)12yes—
985C2×D4H(5,𝔽2)12yes—
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—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—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×C4C22×D411yescharacteristic
1046C22×C4C2511yescharacteristic
1047Q16—82no—
1048Q16—82no—
1049Q16—82no—
1050SD16—44no—
1051SD16—44no—
1052SD16—44no—
1053SD16—44no—
1054SD16—82no—
1055SD16—82no—
1056SD16—82no—
1057SD16—82no—
1058SD16—82no—
1059SD16—82no—
1060D8—44no—
1061D8—82no—
1062D8—82no—
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—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—44no—
1086C2×C8H(5,𝔽2)12yes—
1087C2×C8H(5,𝔽2)12yes—
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—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4H(5,𝔽2)12yes—
1130C22⋊C4—24no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
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—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—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—42no—
1190C42—81no—
1191C42—81no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—22no—
1202C23—21no—
1203C23—21no—
1204C23—22no—
1205C23—21no—
1206C23—21no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—84no—
1234C23—84no—
1235C23—84no—
1236C23—162no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23#57712yes—
1241C23C23×D411yescharacteristic
1242Q8—41no—
1243Q8—41no—
1244Q8—41no—
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—84no—
1259D4—22no—
1260D4—22no—
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—82no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—84no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
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—21no—
1296C2×C4—21no—
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—22no—
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—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—41no—
1366C2×C4—41no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—162no—
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×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4#58511yescharacteristic
1381C8—22no—
1382C8—22no—
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—42no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—168no—
1432C22#348411yescharacteristic
1433C22#348811yescharacteristic
1434C22#349811yescharacteristic
1435C22C2×#57711yescharacteristic
1436C22#358411yescharacteristic
1437C22#358511yescharacteristic
1438C22#358611yescharacteristic
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—42no—
1451C4—41no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4#353211yescharacteristic
1464C4#353411yescharacteristic
1465C4#354311yescharacteristic
1466C4#354611yescharacteristic
1467C2—42no—
1468C2—81no—
1469C2—82no—
1470C2—82no—
1471C2—161no—
1472C2—161no—
1473C2#4795211yescharacteristic
1474C2#6164011yescharacteristic
1475C2#6167011yescharacteristic
1476C2#6200811yescharacteristic
1477C2#6202711yescharacteristic
1478C2#6245711yescharacteristic
1479C2#6246711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53022C2semidirect
2. #45002C2semidirect
3. #32165C2semidirect
4. #31921C2semidirect
5. #31027C2semidirect
6. #30988C2semidirect
7. #30883C2semidirect
8. #30745C2semidirect
9. #30715C2semidirect
10. #30591C2semidirect
11. #30534C2semidirect
12. #30474C2semidirect
13. #30469C2semidirect
14. #30463C2semidirect
15. #29729C2semidirect
16. #29673C2semidirect
17. #29092C2semidirect
18. #28985C2semidirect
19. #28479C2semidirect
20. #28326C2semidirect
21. #27063C2semidirect
22. #26945C2semidirect
23. #26632C2semidirect
24. #25783C2semidirect
25. #25762C2semidirect
26. #25611C2semidirect
27. #25378C2semidirect
28. #24909C2semidirect
29. #24358C2semidirect
30. #23852C2semidirect
31. #22368C2semidirect
35. C2×#497C22semidirect
39. C2×#488C22semidirect
40. C2×#484C22semidirect
41. C2×#483C22semidirect
45. C2×#463C22semidirect
48. C2×#461C22semidirect
70. #2621C22semidirect
71. #2620C22semidirect
72. #2547C22semidirect
73. #2545C22semidirect
77. #2514C22semidirect
78. #2511C22semidirect
86. #2429C22semidirect
88. #2427C22semidirect
101. #2097C22semidirect
103. #2086C22semidirect
105. #2072C22semidirect
107. #2066C22semidirect
109. #2056C22semidirect
110. #2056C22semidirect
113. #2055C22semidirect
114. #2055C22semidirect
116. #2043C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
122. #2026C22semidirect
123. #2026C22semidirect
124. #2016C22semidirect
127. #2015C22semidirect
128. #2015C22semidirect
129. #2015C22semidirect
137. #2012C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
148. #1999C22semidirect
149. #1992C22semidirect
151. #1983C22semidirect
154. #1971C22semidirect
155. #1969C22semidirect
157. #1968C22semidirect
160. #1940C22semidirect
162. #1935C22semidirect
163. #1935C22semidirect
164. #1933C22semidirect
165. #1928C22semidirect
166. #1925C22semidirect
168. #1924C22semidirect
169. #1924C22semidirect
171. #1921C22semidirect
172. #1919C22semidirect
173. #1916C22semidirect
174. #1916C22semidirect
180. #1879C22semidirect
181. #1878C22semidirect
186. #1877C22semidirect
187. #1874C22semidirect
188. #1872C22semidirect
190. #1864C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
198. #1771C22semidirect
199. #1763C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#530222
#450022
#321652
#319212
#310272
#309882
#308832
#307452
#307152
#305912
#305342
#304742
#304692
#304632
#297292
#296732
#290922
#289852
#284792
#283262
#270632
#269452
#266322
#257832
#257622
#256112
#253782
#249092
#243582
#238522
#223682