Finite Group Databasebeta

← #7337174

Subgroups — #7337174

Order 512.

2033 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59095C211yesmaximal, characteristic, complemented
2#45669C211yesmaximal, characteristic, complemented
3#32180C211yesmaximal, characteristic, complemented
4#31918C211yesmaximal, characteristic, complemented
5#31043C211yesmaximal, characteristic, complemented
6#31004C211yesmaximal, characteristic, complemented
7#30899C211yesmaximal, characteristic, complemented
8#30761C211yesmaximal, characteristic, complemented
9#30715C211yesmaximal, characteristic, complemented
10#30589C211yesmaximal, characteristic, complemented
11#30538C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#30453C211yesmaximal, characteristic, complemented
15#29718C211yesmaximal, characteristic, complemented
16#29663C211yesmaximal, characteristic, complemented
17#29083C211yesmaximal, characteristic, complemented
18#28990C211yesmaximal, characteristic, complemented
19#28472C211yesmaximal, characteristic, complemented
20#28311C211yesmaximal, characteristic, complemented
21#27081C211yesmaximal, characteristic, complemented
22#26945C211yesmaximal, characteristic, complemented
23#26617C211yesmaximal, characteristic, complemented
24#25783C211yesmaximal, characteristic, complemented
25#25763C211yesmaximal, characteristic, complemented
26#25602C211yesmaximal, characteristic, complemented
27#25378C211yesmaximal, characteristic, complemented
28#24893C211yesmaximal, characteristic, complemented
29#24358C211yesmaximal, characteristic, complemented
30#23849C211yesmaximal, characteristic, complemented
31#22371C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C2×#546—21no—
34C2×D42C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#496C2211yescharacteristic
38C2×#496C2211yescharacteristic, complemented
39C2×#492C2211yescharacteristic, complemented
40C2×#489C2211yescharacteristic, complemented
41C2×#484C2211yescharacteristic, complemented
42C2×#484C2211yescharacteristic, complemented
43C2×#466C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic
45C2×#463C2211yescharacteristic
46C2×#461C2211yescharacteristic, complemented
47C2×#461C2211yescharacteristic, complemented
48C2×#461C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic, complemented
50C2×#448C2211yescharacteristic
51C2×#448C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#450C2211yescharacteristic
55C2×#450C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×C4×D8C2211yescharacteristic, complemented
59#2857C2211yescharacteristic, complemented
60#2850C2211yescharacteristic, complemented
61#2838—21no—
62#2784—21no—
63#2778—21no—
64#2757—21no—
65#2742—21no—
66#2737—21no—
67#2693—21no—
68#2676—21no—
69#2670—21no—
70#2547C2211yescharacteristic, complemented
71#2545C2211yescharacteristic, complemented
72#2541C2211yescharacteristic
73#2540C2211yescharacteristic
74#2514C2211yescharacteristic, complemented
75#2511C2211yescharacteristic, complemented
76#2491C2211yescharacteristic
77#2456—21no—
78#2452C2211yescharacteristic
79#2445C2211yescharacteristic
80#2436C2211yescharacteristic, complemented
81#2434C2211yescharacteristic, complemented
82#2433C2211yescharacteristic
83#2433C2211yescharacteristic
84#2429C2211yescharacteristic, complemented
85#2428C2211yescharacteristic
86#2427C2211yescharacteristic, complemented
87#2424—21no—
88#2424—21no—
89#2422C2211yescharacteristic, complemented
90#2421C2211yescharacteristic, complemented
91#2416C2211yescharacteristic
92#2410—21no—
93#2409C2211yescharacteristic
94#2404—21no—
95#2376—21no—
96#2366C2211yescharacteristic
97#2361C2211yescharacteristic
98D4×C22⋊C4C2211yescharacteristic
99C4×#123C2211yescharacteristic
100C2×#390C2211yescharacteristic
101#2093C2211yescharacteristic
102#2093C2211yescharacteristic, complemented
103#2086C2211yescharacteristic, complemented
104#2075C2211yescharacteristic, complemented
105#2073C2211yescharacteristic
106#2073C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2067C2211yescharacteristic, complemented
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2055C2211yescharacteristic, complemented
114#2054C2211yescharacteristic
115#2054C2211yescharacteristic, complemented
116#2043C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2041C2211yescharacteristic
119#2041C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2024C2211yescharacteristic, complemented
123#2024C2211yescharacteristic, complemented
124#2014C2211yescharacteristic
125#2014C2211yescharacteristic
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2014C2211yescharacteristic, complemented
130#2013C2211yescharacteristic
131#2013C2211yescharacteristic
132#2013C2211yescharacteristic, complemented
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1993C2211yescharacteristic, complemented
150#1983C2211yescharacteristic, complemented
151#1982C2211yescharacteristic
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic
154#1973C2211yescharacteristic, complemented
155#1973C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1961C2211yescharacteristic, complemented
159#1955C2211yescharacteristic
160#1940C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1934C2211yescharacteristic
164#1933C2211yescharacteristic, complemented
165#1928C2211yescharacteristic, complemented
166#1925C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1921C2211yescharacteristic, complemented
172#1921C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1893C2211yescharacteristic
176#1892C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic
183#1877C2211yescharacteristic
184#1877C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1869C2211yescharacteristic
190#1862C2211yescharacteristic, complemented
191#1862C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1787C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1770C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×Q8C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16—42no—
209C22×SD16—42no—
210C22×SD16—42no—
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#546—48no—
229D42—42no—
230D42—42no—
231#532—42no—
232#532—42no—
233C2×C4⋊Q8C2311yescharacteristic
234C2×C4⋊Q8C2311yescharacteristic
235C2×C4⋊Q8C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#124—21no—
241C2×#124—21no—
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#123—21no—
246C2×#123—21no—
247C2×#123D411yescharacteristic
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C22⋊C4—21no—
283C22×C22⋊C4—21no—
284C22×C22⋊C4—21no—
285C22×C42C2311yescharacteristic
286#496—42no—
287#496—42no—
288#496—42no—
289#492—42no—
290#489—42no—
291#484—42no—
292#484—42no—
293#466—42no—
294#463—42no—
295#461—42no—
296#461—42no—
297#461—42no—
298#460—42no—
299#459—42no—
300#450—42no—
301#450—42no—
302#450—42no—
303#450—42no—
304#448—42no—
305#448—42no—
306#447—42no—
307#447—42no—
308C4×D8—42no—
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315C2×C4⋊C8C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×#97C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×C4×C8C2311yescharacteristic
362#401—21no—
363#400—21no—
364#400—21no—
365#400—21no—
366#400—21no—
367#399—21no—
368#398—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#396—21no—
375#396—21no—
376#396—21no—
377#396—21no—
378#396—21no—
379#395—21no—
380#395—21no—
381#395—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#393—21no—
390#393—21no—
391#393—21no—
392#393—21no—
393#393—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#391C2311yescharacteristic
403#391C2311yescharacteristic
404#391C2311yescharacteristic
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
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#390C2311yescharacteristic
423#389—21no—
424#389—21no—
425#389—21no—
426#389C2311yescharacteristic
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388D411yescharacteristic
439#388D411yescharacteristic
440#387—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#387D411yescharacteristic
445#387D411yescharacteristic
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#386—21no—
458#386—21no—
459#386—21no—
460#386D411yescharacteristic
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385D411yescharacteristic
468#384C2311yescharacteristic
469#383—21no—
470#382C2311yescharacteristic
471#381D411yescharacteristic
472#380—21no—
473#380—21no—
474#380—21no—
475#380—21no—
476#380—21no—
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#379—21no—
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C4⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486C4×C22⋊C4C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509C25—21no—
510C25—21no—
511C2×#41—44no—
512C2×#41—44no—
513C2×#41—82no—
514C22×Q8—21no—
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×D4—21no—
526C22×D4—22no—
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—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—44no—
554C22×D4—44no—
555C22×D4—82no—
556C22×D4C2×D411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4C2×D411yescharacteristic
570C23×C4C2×D411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—22no—
582C2×SD16—22no—
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—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—416no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C22×C8—22no—
623C22×C8—41no—
624C22×C8—41no—
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C4⋊Q8—22no—
634C4⋊Q8—41no—
635C4⋊Q8—41no—
636C4⋊Q8—41no—
637C4⋊Q8—41no—
638C4⋊Q8—41no—
639#127—22no—
640#127—22no—
641#127—22no—
642#127—41no—
643#127—41no—
644#127—41no—
645#127—41no—
646#127—41no—
647#124—41no—
648#124—41no—
649#124—41no—
650#124—41no—
651#124—41no—
652#124—41no—
653#124—44no—
654#124—44no—
655#123—24no—
656#123—44no—
657#123—44no—
658C22⋊Q8—44no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664C22⋊Q8—41no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—44no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—44no—
675#121—44no—
676#121—44no—
677#121—44no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—82no—
685#120—44no—
686#120—44no—
687#120—44no—
688#120—44no—
689#120—82no—
690#120—82no—
691C4×Q8—41no—
692C4×Q8—41no—
693C4×D4—22no—
694C4×D4—22no—
695C4×D4—22no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—44no—
706C4×D4—44no—
707C4×D4—44no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—41no—
726C2×C4⋊C4—41no—
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2×D411yescharacteristic
730C2×C4⋊C4C2×D411yescharacteristic
731C2×C4⋊C4C2×D411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—44no—
782C2×C22⋊C4—44no—
783C2×C22⋊C4—82no—
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42—41no—
796C2×C42—41no—
797C2×C42C2×D411yescharacteristic
798C2×C42C2×D411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803C2×C42C2411yescharacteristic
804#107—22no—
805#107—22no—
806#107—41no—
807#107—41no—
808C4⋊C8—22no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811C4⋊C8—41no—
812C4⋊C8—41no—
813#103—22no—
814#103—22no—
815#103—22no—
816#103—22no—
817#103—22no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#103—41no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843#102—41no—
844#102—41no—
845C22⋊C8—22no—
846C22⋊C8—22no—
847C22⋊C8—22no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852#97—41no—
853#97—41no—
854#97—41no—
855#97—41no—
856C4×C8—22no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889#95C2×D411yescharacteristic
890#95C2×D411yescharacteristic
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—42no—
897C24—42no—
898C24—42no—
899C24—42no—
900C24—42no—
901C24—42no—
902C24—42no—
903C24—81no—
904C24—81no—
905C24—81no—
906C24—81no—
907C24—81no—
908C24—81no—
909C24—81no—
910C24C22×D411yescharacteristic
911C24C22×D411yescharacteristic
912#41—816no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—42no—
932C2×Q8—42no—
933C2×Q8—44no—
934C2×Q8—81no—
935C2×Q8—81no—
936C2×Q8—81no—
937C2×Q8—81no—
938C2×Q8—82no—
939C2×Q8—82no—
940C2×Q8—82no—
941C2×D4—24no—
942C2×D4—22no—
943C2×D4—22no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—41no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—44no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—82no—
1015C2×D4—82no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—82no—
1020C2×D4—82no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—816no—
1029C2×D4H(5,𝔽2)12yes—
1030C2×D4H(5,𝔽2)12yes—
1031C22×C4—22no—
1032C22×C4—21no—
1033C22×C4—22no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—42no—
1061C22×C4—42no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—42no—
1065C22×C4—42no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4—81no—
1078C22×C4—81no—
1079C22×C4—81no—
1080C22×C4—81no—
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C22×D411yescharacteristic
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D411yescharacteristic
1088C22×C4C22×D411yescharacteristic
1089C22×C4C22×D411yescharacteristic
1090C22×C4C22×D411yescharacteristic
1091C22×C4C22×D411yescharacteristic
1092C22×C4C22×D411yescharacteristic
1093C22×C4C2511yescharacteristic
1094SD16—44no—
1095SD16—44no—
1096SD16—44no—
1097SD16—44no—
1098SD16—82no—
1099SD16—82no—
1100SD16—82no—
1101SD16—82no—
1102SD16—82no—
1103SD16—82no—
1104SD16—82no—
1105SD16—82no—
1106D8—44no—
1107D8—82no—
1108D8—82no—
1109D8—82no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—44no—
1133C2×C8H(5,𝔽2)12yes—
1134C2×C8H(5,𝔽2)12yes—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—21no—
1148C4⋊C4—21no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C4⋊C4—81no—
1168C4⋊C4—81no—
1169C4⋊C4—81no—
1170C4⋊C4—81no—
1171C4⋊C4—81no—
1172C4⋊C4H(5,𝔽2)12yes—
1173C22⋊C4—24no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4AGL(1,ℤ/8)14yes—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—21no—
1230C42—21no—
1231C42—21no—
1232C42—41no—
1233C42—41no—
1234C42—42no—
1235C42—81no—
1236C42—81no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—22no—
1250C23—22no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—84no—
1285C23—84no—
1286C23—84no—
1287C23—84no—
1288C23—84no—
1289C23—84no—
1290C23—84no—
1291C23—162no—
1292C23—162no—
1293C23—162no—
1294C23—162no—
1295C23—162no—
1296C23—162no—
1297C23—162no—
1298C23C2×AGL(1,ℤ/8)12yes—
1299C23#57712yes—
1300C23C23×D411yescharacteristic
1301Q8—41no—
1302Q8—41no—
1303Q8—41no—
1304Q8—41no—
1305Q8—41no—
1306Q8—41no—
1307Q8—41no—
1308Q8—41no—
1309Q8—41no—
1310Q8—41no—
1311Q8—41no—
1312Q8—41no—
1313Q8—84no—
1314Q8—84no—
1315D4—22no—
1316D4—22no—
1317D4—22no—
1318D4—22no—
1319D4—44no—
1320D4—48no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—41no—
1336D4—41no—
1337D4—84no—
1338D4—84no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—84no—
1343D4—84no—
1344D4—84no—
1345D4—162no—
1346D4—162no—
1347D4—162no—
1348D4—162no—
1349D4—162no—
1350D4—162no—
1351D4—162no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—22no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—44no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—84no—
1429C2×C4—84no—
1430C2×C4—82no—
1431C2×C4—84no—
1432C2×C4—84no—
1433C2×C4—162no—
1434C2×C4—162no—
1435C2×C4—162no—
1436C2×C4C2×AGL(1,ℤ/8)12yes—
1437C2×C4C2×AGL(1,ℤ/8)12yes—
1438C2×C4C2×H(5,𝔽2)11yescharacteristic
1439C2×C4C2×H(5,𝔽2)11yescharacteristic
1440C2×C4C2×H(5,𝔽2)11yescharacteristic
1441C2×C4C2×H(5,𝔽2)11yescharacteristic
1442C2×C4C2×H(5,𝔽2)11yescharacteristic
1443C2×C4#58511yescharacteristic
1444C8—22no—
1445C8—22no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—168no—
1502C22—168no—
1503C22#348411yescharacteristic
1504C22#348811yescharacteristic
1505C22#349811yescharacteristic
1506C22C22×AGL(1,ℤ/8)11yescharacteristic
1507C22C2×#57711yescharacteristic
1508C22#358511yescharacteristic
1509C22#358611yescharacteristic
1510C4—22no—
1511C4—22no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—42no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4#353211yescharacteristic
1534C4#353411yescharacteristic
1535C4#354311yescharacteristic
1536C4#354611yescharacteristic
1537C2—42no—
1538C2—42no—
1539C2—82no—
1540C2—82no—
1541C2—161no—
1542C2—161no—
1543C2—161no—
1544C2#4795211yescharacteristic
1545C2#6160011yescharacteristic
1546C2#6165411yescharacteristic
1547C2#6196211yescharacteristic
1548C2#6201611yescharacteristic
1549C2#6244711yescharacteristic
1550C2#6245811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59095C2semidirect
2. #45669C2semidirect
3. #32180C2semidirect
4. #31918C2semidirect
5. #31043C2semidirect
6. #31004C2semidirect
7. #30899C2semidirect
8. #30761C2semidirect
9. #30715C2semidirect
10. #30589C2semidirect
11. #30538C2semidirect
12. #30460C2semidirect
13. #30456C2semidirect
14. #30453C2semidirect
15. #29718C2semidirect
16. #29663C2semidirect
17. #29083C2semidirect
18. #28990C2semidirect
19. #28472C2semidirect
20. #28311C2semidirect
21. #27081C2semidirect
22. #26945C2semidirect
23. #26617C2semidirect
24. #25783C2semidirect
25. #25763C2semidirect
26. #25602C2semidirect
27. #25378C2semidirect
28. #24893C2semidirect
29. #24358C2semidirect
30. #23849C2semidirect
31. #22371C2semidirect
38. C2×#496C22semidirect
39. C2×#492C22semidirect
40. C2×#489C22semidirect
41. C2×#484C22semidirect
42. C2×#484C22semidirect
43. C2×#466C22semidirect
46. C2×#461C22semidirect
47. C2×#461C22semidirect
48. C2×#461C22semidirect
49. C2×#459C22semidirect
51. C2×#448C22semidirect
58. C2×C4×D8C22semidirect
59. #2857C22semidirect
60. #2850C22semidirect
70. #2547C22semidirect
71. #2545C22semidirect
74. #2514C22semidirect
75. #2511C22semidirect
80. #2436C22semidirect
81. #2434C22semidirect
84. #2429C22semidirect
86. #2427C22semidirect
89. #2422C22semidirect
90. #2421C22semidirect
102. #2093C22semidirect
103. #2086C22semidirect
104. #2075C22semidirect
106. #2073C22semidirect
107. #2068C22semidirect
108. #2067C22semidirect
111. #2055C22semidirect
112. #2055C22semidirect
113. #2055C22semidirect
115. #2054C22semidirect
116. #2043C22semidirect
117. #2042C22semidirect
119. #2041C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2024C22semidirect
123. #2024C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
129. #2014C22semidirect
132. #2013C22semidirect
134. #2012C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
148. #1999C22semidirect
149. #1993C22semidirect
150. #1983C22semidirect
154. #1973C22semidirect
155. #1973C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1961C22semidirect
160. #1940C22semidirect
161. #1936C22semidirect
162. #1935C22semidirect
164. #1933C22semidirect
165. #1928C22semidirect
166. #1925C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1921C22semidirect
172. #1921C22semidirect
173. #1917C22semidirect
174. #1917C22semidirect
176. #1892C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
184. #1877C22semidirect
185. #1877C22semidirect
186. #1877C22semidirect
187. #1874C22semidirect
188. #1872C22semidirect
190. #1862C22semidirect
191. #1862C22semidirect
192. #1850C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1797C22semidirect
196. #1787C22semidirect
198. #1770C22semidirect
199. #1763C22semidirect
201. #1752C22semidirect
202. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#590952
#456692
#321802
#319182
#310432
#310042
#308992
#307612
#307152
#305892
#305382
#304602
#304562
#304532
#297182
#296632
#290832
#289902
#284722
#283112
#270812
#269452
#266172
#257832
#257632
#256022
#253782
#248932
#243582
#238492
#223712