Finite Group Databasebeta

← #7325398

Subgroups — #7325398

Order 512.

1937 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52957C211yesmaximal, characteristic, complemented
2#44886C211yesmaximal, characteristic, complemented
3#31787C211yesmaximal, characteristic, complemented
4#31500C211yesmaximal, characteristic, complemented
5#31404C211yesmaximal, characteristic, complemented
6#31293C211yesmaximal, characteristic, complemented
7#31188C211yesmaximal, characteristic, complemented
8#30984C211yesmaximal, characteristic, complemented
9#30984C211yesmaximal, characteristic, complemented
10#30846C211yesmaximal, characteristic, complemented
11#30732C211yesmaximal, characteristic, complemented
12#30701C211yesmaximal, characteristic, complemented
13#30462C211yesmaximal, characteristic, complemented
14#30402C211yesmaximal, characteristic, complemented
15#29607C211yesmaximal, characteristic, complemented
16#29602C211yesmaximal, characteristic, complemented
17#29064C211yesmaximal, characteristic, complemented
18#27049C211yesmaximal, characteristic, complemented
19#26926C211yesmaximal, characteristic, complemented
20#26665C211yesmaximal, characteristic, complemented
21#26552C211yesmaximal, characteristic, complemented
22#25770C211yesmaximal, characteristic, complemented
23#25416C211yesmaximal, characteristic, complemented
24#25392C211yesmaximal, characteristic, complemented
25#25139C211yesmaximal, characteristic, complemented
26#24451C211yesmaximal, characteristic, complemented
27#24391C211yesmaximal, characteristic, complemented
28#24390C211yesmaximal, characteristic, complemented
29#24238C211yesmaximal, characteristic, complemented
30#24049C211yesmaximal, characteristic, complemented
31#22039C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#482C2211yescharacteristic
38C2×#480C2211yescharacteristic
39C2×#480C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#469C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic, complemented
43C2×#466C2211yescharacteristic
44C2×#466C2211yescharacteristic, complemented
45C2×#459C2211yescharacteristic
46C2×#459C2211yescharacteristic
47C2×#459C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic, complemented
51C2×#449C2211yescharacteristic, complemented
52C2×#447C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×C4×SD16C2211yescharacteristic, complemented
55C2×#436C2211yescharacteristic, complemented
56C2×#417C2211yescharacteristic
57C2×#408C2211yescharacteristic
58#2828—21no—
59#2824—21no—
60#2813—21no—
61#2813—21no—
62#2784—21no—
63#2676—21no—
64#2675—21no—
65#2673—21no—
66#2673—21no—
67#2673—21no—
68#2669—21no—
69#2669—21no—
70#2615C2211yescharacteristic
71#2615C2211yescharacteristic
72#2541—21no—
73#2541C2211yescharacteristic
74#2541C2211yescharacteristic
75#2537C2211yescharacteristic, complemented
76#2537C2211yescharacteristic, complemented
77#2497C2211yescharacteristic, complemented
78#2497C2211yescharacteristic, complemented
79#2487C2211yescharacteristic
80#2461—21no—
81#2433C2211yescharacteristic
82#2431C2211yescharacteristic
83#2428C2211yescharacteristic
84#2428C2211yescharacteristic, complemented
85#2428C2211yescharacteristic, complemented
86#2426C2211yescharacteristic
87#2424—21no—
88#2424—21no—
89#2422C2211yescharacteristic
90#2422C2211yescharacteristic
91#2416C2211yescharacteristic
92#2416C2211yescharacteristic, complemented
93#2416C2211yescharacteristic, complemented
94#2414C2211yescharacteristic
95#2407C2211yescharacteristic
96#2388C2211yescharacteristic
97#2362C2211yescharacteristic
98#2361C2211yescharacteristic
99#2100C2211yescharacteristic, complemented
100#2095C2211yescharacteristic, complemented
101#2086C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2071C2211yescharacteristic
104#2071C2211yescharacteristic
105#2067C2211yescharacteristic
106#2067C2211yescharacteristic
107#2067C2211yescharacteristic, complemented
108#2067C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2042C2211yescharacteristic
111#2042C2211yescharacteristic
112#2041C2211yescharacteristic
113#2041C2211yescharacteristic
114#2041C2211yescharacteristic, complemented
115#2036C2211yescharacteristic
116#2036C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic, complemented
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic, complemented
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1983C2211yescharacteristic
148#1970C2211yescharacteristic
149#1970C2211yescharacteristic
150#1957C2211yescharacteristic
151#1957C2211yescharacteristic
152#1955C2211yescharacteristic
153#1954C2211yescharacteristic, complemented
154#1948C2211yescharacteristic, complemented
155#1944C2211yescharacteristic, complemented
156#1942C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1933C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1923C2211yescharacteristic
163#1923C2211yescharacteristic
164#1923C2211yescharacteristic, complemented
165#1920C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic
169#1895C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1893C2211yescharacteristic
172#1892C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1877C2211yescharacteristic, complemented
177#1875C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1862C2211yescharacteristic
185#1862C2211yescharacteristic
186#1862C2211yescharacteristic, complemented
187#1854C2211yescharacteristic
188#1852C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1825C2211yescharacteristic
192#1824C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1780C2211yescharacteristic
200#1762C2211yescharacteristic
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#550—42no—
219#550—42no—
220#546—42no—
221#546—42no—
222#537—42no—
223#537—42no—
224#535—42no—
225#535—42no—
226C2×#127—21no—
227C2×#127—21no—
228C2×#127—21no—
229C2×#127—21no—
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#124—21no—
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×C4×Q8C2311yescharacteristic
277C2×C4×D4—21no—
278C2×C4×D4—21no—
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C22⋊C4—21no—
289#496—42no—
290#482—42no—
291#480—42no—
292#480—42no—
293#469—42no—
294#469—42no—
295#468—42no—
296#466—42no—
297#466—42no—
298#459—42no—
299#459—42no—
300#459—42no—
301#449—42no—
302#449—42no—
303#449—42no—
304#449—42no—
305#447—42no—
306#447—42no—
307C4×SD16—42no—
308#436—42no—
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#107C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320#417—42no—
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353#408—42no—
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×#97C2311yescharacteristic
368C2×C4×C8C2311yescharacteristic
369C2×C4×C8C2311yescharacteristic
370#400—21no—
371#400—21no—
372#400—21no—
373#399—21no—
374#397—21no—
375#397—21no—
376#396—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#395D411yescharacteristic
383#394—21no—
384#394—21no—
385#394—21no—
386#394—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#394—21no—
396#394—21no—
397#394—21no—
398#394D411yescharacteristic
399#394D411yescharacteristic
400#394D411yescharacteristic
401#393—21no—
402#393—21no—
403#393D411yescharacteristic
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392D411yescharacteristic
424#392D411yescharacteristic
425#392D411yescharacteristic
426#391C2311yescharacteristic
427#390—21no—
428#390—21no—
429#390—21no—
430#390—21no—
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#387—21no—
450#387—21no—
451#387—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#386—21no—
461#386—21no—
462#386—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#384C2311yescharacteristic
469#384C2311yescharacteristic
470#380—21no—
471#380—21no—
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480C4×C4⋊C4—21no—
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#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8C2×D411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×D4—21no—
530C22×D4—22no—
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—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4C2×D411yescharacteristic
561C22×D4C2×D411yescharacteristic
562C22×D4C2×D411yescharacteristic
563C22×D4C2×D411yescharacteristic
564C22×D4C2×D411yescharacteristic
565C22×D4C2×D411yescharacteristic
566C22×D4C2411yescharacteristic
567C22×D4C2411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
570C22×D4C2411yescharacteristic
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—22no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×M16—22no—
607C2×M16—41no—
608C2×M16—41no—
609C2×M16—41no—
610C2×M16—41no—
611C2×M16—41no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623#127—22no—
624#127—41no—
625#127—41no—
626#127—41no—
627#127—41no—
628#127—41no—
629#127—44no—
630#127—44no—
631#127—82no—
632#127—82no—
633#124—22no—
634#124—41no—
635#124—44no—
636#123—44no—
637#123—82no—
638#123—82no—
639C22⋊Q8—22no—
640C22⋊Q8—22no—
641C22⋊Q8—22no—
642C22⋊Q8—41no—
643C22⋊Q8—44no—
644#121—22no—
645#121—22no—
646#121—22no—
647#121—22no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—44no—
652#121—44no—
653#121—44no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—44no—
664#121—44no—
665#121—44no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—82no—
683#121—82no—
684#121—82no—
685#121—82no—
686#121—82no—
687#121—82no—
688#121—82no—
689#121—82no—
690#120—44no—
691#120—44no—
692#120—44no—
693#120—82no—
694#120—82no—
695C4×Q8—22no—
696C4×Q8—41no—
697C4×D4—22no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—44no—
710C4×D4—82no—
711#117—22no—
712#117—41no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—22no—
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—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—41no—
730C2×C4⋊C4—41no—
731C2×C4⋊C4—41no—
732C2×C4⋊C4C2×D411yescharacteristic
733C2×C4⋊C4C2×D411yescharacteristic
734C2×C4⋊C4C2×D411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
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—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—44no—
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C42—21no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42—21no—
804C2×C42C2411yescharacteristic
805C2×C42C2411yescharacteristic
806C2×C42C2411yescharacteristic
807#107—22no—
808#107—22no—
809#107—41no—
810#107—41no—
811#107—41no—
812#107—41no—
813#106—22no—
814#106—22no—
815C4⋊C8—22no—
816C4⋊C8—41no—
817C4⋊C8—41no—
818#103—22no—
819#103—22no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
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—
845#102—41no—
846#102—41no—
847#102—41no—
848#102—41no—
849#102—41no—
850C22⋊C8—22no—
851C22⋊C8—22no—
852C22⋊C8—22no—
853C22⋊C8—41no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856C22⋊C8—41no—
857C22⋊C8—41no—
858C22⋊C8—41no—
859C22⋊C8—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863#97—41no—
864C4×C8—41no—
865C4×C8—41no—
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#95—21no—
882#95—21no—
883#95—21no—
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889#95C2×D411yescharacteristic
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—42no—
896C24—42no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24—81no—
901C24—81no—
902C24C22×D411yescharacteristic
903C24C22×D411yescharacteristic
904C24C22×D411yescharacteristic
905C24C22×D411yescharacteristic
906#41—44no—
907#41—82no—
908#41—82no—
909#41—82no—
910#41—82no—
911#41—82no—
912#41—82no—
913#41—82no—
914#41—82no—
915#41—82no—
916#41—82no—
917#41—82no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—41no—
924C2×Q8—41no—
925C2×Q8—41no—
926C2×Q8H(5,𝔽2)12yes—
927C2×D4—24no—
928C2×D4—22no—
929C2×D4—22no—
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—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—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—41no—
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—42no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
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—82no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—82no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4H(5,𝔽2)12yes—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—81no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C2511yescharacteristic
1121SD16—44no—
1122SD16—82no—
1123D8—82no—
1124D8—82no—
1125D8—82no—
1126D8—82no—
1127D8—82no—
1128D8—82no—
1129M16—82no—
1130M16—82no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—82no—
1155C2×C8H(5,𝔽2)12yes—
1156C4⋊C4—24no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—81no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4—81no—
1191C4⋊C4—81no—
1192C4⋊C4H(5,𝔽2)12yes—
1193C4⋊C4H(5,𝔽2)12yes—
1194C22⋊C4—24no—
1195C22⋊C4—24no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—42no—
1255C42—42no—
1256C42—42no—
1257C42—81no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—22no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—84no—
1322C23—84no—
1323C23—162no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23C23×D411yescharacteristic
1329Q8—22no—
1330Q8—22no—
1331Q8—41no—
1332Q8—41no—
1333Q8—82no—
1334D4—22no—
1335D4—22no—
1336D4—41no—
1337D4—41no—
1338D4—41no—
1339D4—41no—
1340D4—41no—
1341D4—41no—
1342D4—41no—
1343D4—41no—
1344D4—41no—
1345D4—41no—
1346D4—41no—
1347D4—41no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—82no—
1355D4—82no—
1356D4—84no—
1357D4—84no—
1358D4—82no—
1359D4—82no—
1360D4—82no—
1361D4—82no—
1362D4—84no—
1363D4—84no—
1364D4—84no—
1365D4—162no—
1366D4—162no—
1367D4—162no—
1368D4—162no—
1369D4—162no—
1370D4—162no—
1371D4—162no—
1372D4—162no—
1373D4—162no—
1374D4—162no—
1375D4—162no—
1376D4—162no—
1377D4—162no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383D4—162no—
1384D4—162no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
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—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—84no—
1463C2×C4—84no—
1464C2×C4—162no—
1465C2×C4—162no—
1466C2×C4—162no—
1467C2×C4—162no—
1468C2×C4—162no—
1469C2×C4#57612yes—
1470C2×C4#57612yes—
1471C2×C4C2×H(5,𝔽2)11yescharacteristic
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4C2×H(5,𝔽2)11yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C2×C4#58511yescharacteristic
1477C8—22no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—42no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—42no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—42no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—168no—
1549C22#348411yescharacteristic
1550C22#348411yescharacteristic
1551C22#349611yescharacteristic
1552C22C2×#57611yescharacteristic
1553C22C2×#57611yescharacteristic
1554C22#358511yescharacteristic
1555C22#358611yescharacteristic
1556C4—22no—
1557C4—22no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—42no—
1567C4—41no—
1568C4—42no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4#353411yescharacteristic
1578C4#353711yescharacteristic
1579C4#354311yescharacteristic
1580C4#354611yescharacteristic
1581C2—81no—
1582C2—81no—
1583C2—81no—
1584C2—81no—
1585C2—82no—
1586C2—161no—
1587C2—161no—
1588C2—161no—
1589C2—161no—
1590C2#4792811yescharacteristic
1591C2#6161711yescharacteristic
1592C2#6165011yescharacteristic
1593C2#6166111yescharacteristic
1594C2#6168411yescharacteristic
1595C2#6231511yescharacteristic
1596C2#6235311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52957C2semidirect
2. #44886C2semidirect
3. #31787C2semidirect
4. #31500C2semidirect
5. #31404C2semidirect
6. #31293C2semidirect
7. #31188C2semidirect
8. #30984C2semidirect
9. #30984C2semidirect
10. #30846C2semidirect
11. #30732C2semidirect
12. #30701C2semidirect
13. #30462C2semidirect
14. #30402C2semidirect
15. #29607C2semidirect
16. #29602C2semidirect
17. #29064C2semidirect
18. #27049C2semidirect
19. #26926C2semidirect
20. #26665C2semidirect
21. #26552C2semidirect
22. #25770C2semidirect
23. #25416C2semidirect
24. #25392C2semidirect
25. #25139C2semidirect
26. #24451C2semidirect
27. #24391C2semidirect
28. #24390C2semidirect
29. #24238C2semidirect
30. #24049C2semidirect
31. #22039C2semidirect
39. C2×#480C22semidirect
41. C2×#469C22semidirect
42. C2×#468C22semidirect
44. C2×#466C22semidirect
50. C2×#449C22semidirect
51. C2×#449C22semidirect
54. C2×C4×SD16C22semidirect
55. C2×#436C22semidirect
75. #2537C22semidirect
76. #2537C22semidirect
77. #2497C22semidirect
78. #2497C22semidirect
84. #2428C22semidirect
85. #2428C22semidirect
92. #2416C22semidirect
93. #2416C22semidirect
99. #2100C22semidirect
100. #2095C22semidirect
101. #2086C22semidirect
102. #2076C22semidirect
107. #2067C22semidirect
108. #2067C22semidirect
109. #2055C22semidirect
114. #2041C22semidirect
117. #2036C22semidirect
121. #2034C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
131. #2011C22semidirect
134. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
153. #1954C22semidirect
154. #1948C22semidirect
155. #1944C22semidirect
156. #1942C22semidirect
157. #1936C22semidirect
158. #1933C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
161. #1924C22semidirect
164. #1923C22semidirect
165. #1920C22semidirect
166. #1918C22semidirect
169. #1895C22semidirect
170. #1895C22semidirect
172. #1892C22semidirect
173. #1880C22semidirect
176. #1877C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
181. #1870C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
186. #1862C22semidirect
188. #1852C22semidirect
189. #1852C22semidirect
190. #1850C22semidirect
192. #1824C22semidirect
193. #1803C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect

Maximal subgroups

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

subgroupindex
#529572
#448862
#317872
#315002
#314042
#312932
#311882
#309842
#308462
#307322
#307012
#304622
#304022
#296072
#296022
#290642
#270492
#269262
#266652
#265522
#257702
#254162
#253922
#251392
#244512
#243912
#243902
#242382
#240492
#220392