Finite Group Databasebeta

← #7330426

Subgroups — #7330426

Order 512.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1473 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52981C211yesmaximal, characteristic, complemented
2#44882C211yesmaximal, characteristic, complemented
3#32188C211yesmaximal, characteristic, complemented
4#31864C211yesmaximal, characteristic, complemented
5#31490C211yesmaximal, characteristic, complemented
6#31386C211yesmaximal, characteristic, complemented
7#30852C211yesmaximal, characteristic, complemented
8#30750C211yesmaximal, characteristic, complemented
9#30713C211yesmaximal, characteristic, complemented
10#30709C211yesmaximal, characteristic, complemented
11#30701C211yesmaximal, characteristic, complemented
12#30501C211yesmaximal, characteristic, complemented
13#30501C211yesmaximal, characteristic, complemented
14#30468C211yesmaximal, characteristic, complemented
15#30023C211yesmaximal, characteristic, complemented
16#29677C211yesmaximal, characteristic, complemented
17#28586C211yesmaximal, characteristic, complemented
18#28565C211yesmaximal, characteristic, complemented
19#28493C211yesmaximal, characteristic, complemented
20#27147C211yesmaximal, characteristic, complemented
21#27117C211yesmaximal, characteristic, complemented
22#26944C211yesmaximal, characteristic, complemented
23#26710C211yesmaximal, characteristic, complemented
24#25531C211yesmaximal, characteristic, complemented
25#25513C211yesmaximal, characteristic, complemented
26#25399C211yesmaximal, characteristic, complemented
27#25200C211yesmaximal, characteristic, complemented
28#25124C211yesmaximal, characteristic, complemented
29#25084C211yesmaximal, characteristic, complemented
30#23960C211yesmaximal, characteristic, complemented
31#22171C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#542C2211yescharacteristic, complemented
34C2×#496C2211yescharacteristic
35C2×#483C2211yescharacteristic, complemented
36C2×#480C2211yescharacteristic, complemented
37C2×#469C2211yescharacteristic
38C2×#468C2211yescharacteristic, complemented
39C2×#467C2211yescharacteristic
40C2×#466C2211yescharacteristic
41C2×#466C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#465C2211yescharacteristic
44C2×#465C2211yescharacteristic, complemented
45C2×#464C2211yescharacteristic
46C2×#464C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic
48C2×#450C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#435C2211yescharacteristic
52C2×#435C2211yescharacteristic, complemented
53C22×#102C2211yescharacteristic
54#2842—21no—
55#2837—21no—
56#2829—21no—
57#2813—21no—
58#2732—21no—
59#2730—21no—
60#2705—21no—
61#2705—21no—
62#2697—21no—
63#2685—21no—
64#2682—21no—
65#2678—21no—
66#2624C2211yescharacteristic
67#2620C2211yescharacteristic
68#2554—21no—
69#2544C2211yescharacteristic, complemented
70#2541C2211yescharacteristic, complemented
71#2540C2211yescharacteristic
72#2540C2211yescharacteristic
73#2540C2211yescharacteristic
74#2538C2211yescharacteristic
75#2512C2211yescharacteristic
76#2501C2211yescharacteristic
77#2497C2211yescharacteristic
78#2448C2211yescharacteristic
79#2445—21no—
80#2435C2211yescharacteristic
81#2431—21no—
82#2428C2211yescharacteristic
83#2426C2211yescharacteristic
84#2426C2211yescharacteristic, complemented
85#2417C2211yescharacteristic
86#2417C2211yescharacteristic, complemented
87#2416C2211yescharacteristic
88#2416C2211yescharacteristic
89#2408C2211yescharacteristic
90#2408C2211yescharacteristic
91#2407—21no—
92#2392C2211yescharacteristic
93#2369C2211yescharacteristic, complemented
94#2361C2211yescharacteristic, complemented
95#2360C2211yescharacteristic
96#2324C2211yescharacteristic, complemented
97#2100C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2088C2211yescharacteristic, complemented
100#2083C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2071C2211yescharacteristic, complemented
103#2071C2211yescharacteristic, complemented
104#2067C2211yescharacteristic
105#2065C2211yescharacteristic
106#2065C2211yescharacteristic, complemented
107#2058C2211yescharacteristic, complemented
108#2055C2211yescharacteristic
109#2054C2211yescharacteristic
110#2054C2211yescharacteristic
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic
113#2042C2211yescharacteristic, complemented
114#2041C2211yescharacteristic, complemented
115#2036C2211yescharacteristic
116#2036C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2011C2211yescharacteristic
132#2001C2211yescharacteristic, complemented
133#2001C2211yescharacteristic, complemented
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1983C2211yescharacteristic
146#1982C2211yescharacteristic, complemented
147#1972C2211yescharacteristic
148#1959C2211yescharacteristic, complemented
149#1947C2211yescharacteristic, complemented
150#1936C2211yescharacteristic
151#1936C2211yescharacteristic
152#1935C2211yescharacteristic, complemented
153#1928C2211yescharacteristic, complemented
154#1927C2211yescharacteristic, complemented
155#1926C2211yescharacteristic
156#1926C2211yescharacteristic
157#1925C2211yescharacteristic
158#1925C2211yescharacteristic
159#1925C2211yescharacteristic
160#1924C2211yescharacteristic
161#1924C2211yescharacteristic, complemented
162#1919C2211yescharacteristic, complemented
163#1918C2211yescharacteristic, complemented
164#1918C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1917C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1894C2211yescharacteristic, complemented
169#1893C2211yescharacteristic
170#1893C2211yescharacteristic
171#1893C2211yescharacteristic, complemented
172#1892C2211yescharacteristic, complemented
173#1880C2211yescharacteristic
174#1880C2211yescharacteristic, complemented
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic
181#1874C2211yescharacteristic, complemented
182#1872C2211yescharacteristic
183#1872C2211yescharacteristic, complemented
184#1869C2211yescharacteristic
185#1869C2211yescharacteristic
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1865C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1853C2211yescharacteristic
193#1850C2211yescharacteristic
194#1850C2211yescharacteristic, complemented
195#1823C2211yescharacteristic
196#1803C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1798C2211yescharacteristic, complemented
199#1776C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201C2×#340C2211yescharacteristic, complemented
202#1729C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4C2311yescharacteristic
205C22×Q16C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#547—42no—
219#547—42no—
220#542—42no—
221#542—42no—
222C2×C4⋊Q8C2311yescharacteristic
223C2×#127—21no—
224C2×#127C2311yescharacteristic
225C2×#126—21no—
226C2×#126—21no—
227C2×#124—21no—
228C2×#124C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#124C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#123—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#120—21no—
259C2×#120—21no—
260C2×C4×Q8C2311yescharacteristic
261C2×C4×Q8C2311yescharacteristic
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272#496—42no—
273#483—42no—
274#480—42no—
275#469—42no—
276#468—42no—
277#467—42no—
278#466—42no—
279#466—42no—
280#465—42no—
281#465—42no—
282#465—42no—
283#464—42no—
284#464—42no—
285#463—42no—
286#450—42no—
287#447—42no—
288#447—42no—
289#435—42no—
290#435—42no—
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#102—42no—
313C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×#97C2311yescharacteristic
343#400—21no—
344#399—21no—
345#399—21no—
346#399—21no—
347#399—21no—
348#399—21no—
349#399—21no—
350#399—21no—
351#398—21no—
352#398—21no—
353#398D411yescharacteristic
354#397—21no—
355#397—21no—
356#397—21no—
357#397D411yescharacteristic
358#396—21no—
359#396—21no—
360#396—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396D411yescharacteristic
371#396D411yescharacteristic
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#394—21no—
386#394—21no—
387#394D411yescharacteristic
388#394D411yescharacteristic
389#394D411yescharacteristic
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392D411yescharacteristic
399#391—21no—
400#391—21no—
401#391C2311yescharacteristic
402#391C2311yescharacteristic
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#389—21no—
423#389—21no—
424#389—21no—
425#389C2311yescharacteristic
426#389C2311yescharacteristic
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#387—21no—
440#387—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#385—21no—
451#385—21no—
452#385—21no—
453#384C2311yescharacteristic
454#384C2311yescharacteristic
455#380—21no—
456#380—21no—
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#379—21no—
462#379—21no—
463#379—21no—
464#379—21no—
465C4×C4⋊C4—21no—
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C22⋊C4—21no—
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C2×#41—44no—
504C2×#41—82no—
505C2×#41—82no—
506C22×Q8—21no—
507C22×Q8C2411yescharacteristic
508C22×Q8C2411yescharacteristic
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4C2×D411yescharacteristic
529C22×D4C2×D411yescharacteristic
530C22×D4C2×D411yescharacteristic
531C22×D4C2411yescharacteristic
532C22×D4C2411yescharacteristic
533C22×D4C2411yescharacteristic
534C22×D4C2411yescharacteristic
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C2×Q16—41no—
544C2×Q16—41no—
545C2×Q16—41no—
546C2×SD16—22no—
547C2×SD16—41no—
548C2×SD16—41no—
549C2×SD16—41no—
550C2×SD16—41no—
551C2×SD16—41no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×SD16—41no—
556C2×SD16—41no—
557C2×SD16—41no—
558C2×D8—22no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×D8—41no—
563C2×D8—41no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×M16—22no—
571C2×M16—41no—
572C2×M16—41no—
573C22×C8—22no—
574C22×C8—41no—
575C22×C8—41no—
576C22×C8—41no—
577C22×C8—41no—
578C22×C8—41no—
579C22×C8—41no—
580C22×C8—41no—
581C22×C8—41no—
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C4⋊Q8—22no—
591C4⋊Q8—22no—
592#127—41no—
593#127—41no—
594#127—82no—
595#126—44no—
596#126—82no—
597#124—41no—
598#124—41no—
599#124—41no—
600#124—41no—
601#124—41no—
602#124—41no—
603#124—41no—
604#124—41no—
605#124—44no—
606#123—44no—
607#123—44no—
608#123—44no—
609#123—82no—
610#123—82no—
611C22⋊Q8—22no—
612C22⋊Q8—22no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—44no—
616C22⋊Q8—44no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—41no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
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#121—82no—
648#120—82no—
649#120—82no—
650C4×Q8—22no—
651C4×Q8—41no—
652C4×Q8—41no—
653C4×Q8—41no—
654C4×D4—22no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—82no—
665#117—41no—
666#117—41no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—22no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—21no—
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—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2×D411yescharacteristic
698C2×C4⋊C4C2×D411yescharacteristic
699C2×C4⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
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—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780#107—22no—
781#107—22no—
782#107—22no—
783#106—22no—
784#106—22no—
785#106—41no—
786#106—41no—
787C4⋊C8—22no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790C4⋊C8—41no—
791#103—22no—
792#103—22no—
793#103—22no—
794#103—22no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
807#102—22no—
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—
819#102—41no—
820#102—41no—
821C22⋊C8—22no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829#97—22no—
830#97—41no—
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#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—42no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24—81no—
865C24—81no—
866C24C22×D411yescharacteristic
867C24C22×D411yescharacteristic
868C24C22×D411yescharacteristic
869#41—816no—
870C2×Q8—24no—
871C2×Q8—21no—
872C2×Q8—21no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—81no—
884C2×Q8—81no—
885C2×D4—22no—
886C2×D4—22no—
887C2×D4—22no—
888C2×D4—22no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
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—41no—
914C2×D4—41no—
915C2×D4—41no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—44no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—82no—
940C2×D4—82no—
941C2×D4—82no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
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×D4—81no—
961C22×C4—21no—
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—42no—
992C22×C4—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4—81no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4—81no—
1006C22×C4C22×D411yescharacteristic
1007C22×C4C22×D411yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C22×D411yescharacteristic
1011C22×C4C22×D411yescharacteristic
1012C22×C4C22×D411yescharacteristic
1013C22×C4C22×D411yescharacteristic
1014C22×C4C22×D411yescharacteristic
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C2511yescharacteristic
1018Q16—82no—
1019SD16—82no—
1020SD16—82no—
1021SD16—82no—
1022SD16—82no—
1023D8—82no—
1024D8—82no—
1025D8—82no—
1026D8—82no—
1027M16—82no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—82no—
1052C2×C8—82no—
1053C2×C8—82no—
1054C2×C8H(5,𝔽2)12yes—
1055C4⋊C4—24no—
1056C4⋊C4—21no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—41no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—42no—
1081C4⋊C4—42no—
1082C4⋊C4—42no—
1083C4⋊C4—42no—
1084C4⋊C4—42no—
1085C4⋊C4—42no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4—81no—
1090C4⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4—81no—
1094C4⋊C4—81no—
1095C4⋊C4—81no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4H(5,𝔽2)12yes—
1102C4⋊C4H(5,𝔽2)12yes—
1103C4⋊C4H(5,𝔽2)12yes—
1104C22⋊C4—22no—
1105C22⋊C4—22no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
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—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—42no—
1171C42—81no—
1172C42—81no—
1173C42—81no—
1174C42—81no—
1175C42—81no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
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—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
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—84no—
1224C23—162no—
1225C23—162no—
1226C23—162no—
1227C23—162no—
1228C23—162no—
1229C23—162no—
1230C23#57612yes—
1231C23#57712yes—
1232C23C23×D411yescharacteristic
1233Q8—41no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—84no—
1242D4—44no—
1243D4—41no—
1244D4—41no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—82no—
1260D4—82no—
1261D4—84no—
1262D4—84no—
1263D4—84no—
1264D4—84no—
1265D4—162no—
1266D4—162no—
1267D4—162no—
1268D4—162no—
1269D4—162no—
1270D4—162no—
1271D4—162no—
1272D4—162no—
1273D4—162no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—22no—
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—21no—
1310C2×C4—41no—
1311C2×C4—41no—
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—84no—
1356C2×C4—84no—
1357C2×C4—84no—
1358C2×C4—162no—
1359C2×C4—162no—
1360C2×C4C2×H(5,𝔽2)11yescharacteristic
1361C2×C4C2×H(5,𝔽2)11yescharacteristic
1362C2×C4C2×H(5,𝔽2)11yescharacteristic
1363C2×C4C2×H(5,𝔽2)11yescharacteristic
1364C2×C4#58511yescharacteristic
1365C2×C4#58511yescharacteristic
1366C8—22no—
1367C8—41no—
1368C8—41no—
1369C8—41no—
1370C8—41no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
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—168no—
1424C22#348411yescharacteristic
1425C22#348811yescharacteristic
1426C22#349611yescharacteristic
1427C22C2×#57611yescharacteristic
1428C22C2×#57711yescharacteristic
1429C22#358511yescharacteristic
1430C22#358611yescharacteristic
1431C4—42no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—42no—
1442C4—42no—
1443C4—41no—
1444C4—41no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4#353911yescharacteristic
1455C4#354311yescharacteristic
1456C4#354611yescharacteristic
1457C4#354611yescharacteristic
1458C2—42no—
1459C2—42no—
1460C2—81no—
1461C2—161no—
1462C2—161no—
1463C2—161no—
1464C2—161no—
1465C2#4793911yescharacteristic
1466C2#6162911yescharacteristic
1467C2#6167111yescharacteristic
1468C2#6200711yescharacteristic
1469C2#6202111yescharacteristic
1470C2#6231111yescharacteristic
1471C2#6231911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52981C2semidirect
2. #44882C2semidirect
3. #32188C2semidirect
4. #31864C2semidirect
5. #31490C2semidirect
6. #31386C2semidirect
7. #30852C2semidirect
8. #30750C2semidirect
9. #30713C2semidirect
10. #30709C2semidirect
11. #30701C2semidirect
12. #30501C2semidirect
13. #30501C2semidirect
14. #30468C2semidirect
15. #30023C2semidirect
16. #29677C2semidirect
17. #28586C2semidirect
18. #28565C2semidirect
19. #28493C2semidirect
20. #27147C2semidirect
21. #27117C2semidirect
22. #26944C2semidirect
23. #26710C2semidirect
24. #25531C2semidirect
25. #25513C2semidirect
26. #25399C2semidirect
27. #25200C2semidirect
28. #25124C2semidirect
29. #25084C2semidirect
30. #23960C2semidirect
31. #22171C2semidirect
33. C2×#542C22semidirect
35. C2×#483C22semidirect
36. C2×#480C22semidirect
38. C2×#468C22semidirect
44. C2×#465C22semidirect
46. C2×#464C22semidirect
52. C2×#435C22semidirect
69. #2544C22semidirect
70. #2541C22semidirect
84. #2426C22semidirect
86. #2417C22semidirect
93. #2369C22semidirect
94. #2361C22semidirect
96. #2324C22semidirect
97. #2100C22semidirect
98. #2088C22semidirect
99. #2088C22semidirect
100. #2083C22semidirect
101. #2077C22semidirect
102. #2071C22semidirect
103. #2071C22semidirect
106. #2065C22semidirect
107. #2058C22semidirect
113. #2042C22semidirect
114. #2041C22semidirect
120. #2033C22semidirect
121. #2024C22semidirect
125. #2015C22semidirect
132. #2001C22semidirect
133. #2001C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
146. #1982C22semidirect
148. #1959C22semidirect
149. #1947C22semidirect
152. #1935C22semidirect
153. #1928C22semidirect
154. #1927C22semidirect
161. #1924C22semidirect
162. #1919C22semidirect
163. #1918C22semidirect
164. #1918C22semidirect
165. #1917C22semidirect
166. #1917C22semidirect
168. #1894C22semidirect
171. #1893C22semidirect
172. #1892C22semidirect
174. #1880C22semidirect
178. #1877C22semidirect
181. #1874C22semidirect
183. #1872C22semidirect
187. #1869C22semidirect
188. #1865C22semidirect
189. #1865C22semidirect
190. #1864C22semidirect
191. #1864C22semidirect
194. #1850C22semidirect
196. #1803C22semidirect
197. #1802C22semidirect
198. #1798C22semidirect
199. #1776C22semidirect
200. #1763C22semidirect
201. C2×#340C22semidirect
202. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#529812
#448822
#321882
#318642
#314902
#313862
#308522
#307502
#307132
#307092
#307012
#305012
#304682
#300232
#296772
#285862
#285652
#284932
#271472
#271172
#269442
#267102
#255312
#255132
#253992
#252002
#251242
#250842
#239602
#221712