Finite Group Databasebeta

← #11042625

Subgroups — #11042625

Order 768.

2648 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#547C211yesmaximal, characteristic, complemented
2C2×#5828C211yesmaximal, characteristic, complemented
3#84096C211yesmaximal, characteristic, complemented
4#84090C211yesmaximal, characteristic, complemented
5#84088C211yesmaximal, characteristic, complemented
6#83267C211yesmaximal, characteristic, complemented
7#83267C211yesmaximal, characteristic, complemented
8#82912C211yesmaximal, characteristic, complemented
9#82910C211yesmaximal, characteristic, complemented
10#82910C211yesmaximal, characteristic, complemented
11#82904C211yesmaximal, characteristic, complemented
12#82902C211yesmaximal, characteristic, complemented
13#82900C211yesmaximal, characteristic, complemented
14#82858C211yesmaximal, characteristic, complemented
15#82856C211yesmaximal, characteristic, complemented
16#82831C211yesmaximal, characteristic, complemented
17#82823C211yesmaximal, characteristic, complemented
18#82807C211yesmaximal, characteristic, complemented
19#82784C211yesmaximal, characteristic, complemented
20#82715C211yesmaximal, characteristic, complemented
21#82706C211yesmaximal, characteristic, complemented
22#82688C211yesmaximal, characteristic, complemented
23#82645C211yesmaximal, characteristic, complemented
24#82419C211yesmaximal, characteristic, complemented
25#82404C211yesmaximal, characteristic, complemented
26#82354C211yesmaximal, characteristic, complemented
27#82327C211yesmaximal, characteristic, complemented
28#82198C211yesmaximal, characteristic, complemented
29C2×#4989C211yesmaximal, characteristic, complemented
30#82176C211yesmaximal, characteristic, complemented
31#82158C211yesmaximal, characteristic, complemented
32#38365—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×C3×#41C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C3×#547—28no—
37C2×C3×C4⋊Q8C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic, complemented
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×C22⋊Q8C2211yescharacteristic, complemented
43C2×C3×C22⋊Q8C2211yescharacteristic, complemented
44C2×C3×#121C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic, complemented
46C2×C3×C4×D4C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic, complemented
48C22×C3×C4⋊C4C2211yescharacteristic
49C22×C3×C4⋊C4C2211yescharacteristic, complemented
50#5828—28no—
51C2×#946C2211yescharacteristic
52C2×#946C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#938C2211yescharacteristic
55C2×#938C2211yescharacteristic
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic
59C2×#935C2211yescharacteristic
60C2×#935C2211yescharacteristic
61C2×#935C2211yescharacteristic
62C2×D4×Dic3C2211yescharacteristic
63C2×D4×Dic3C2211yescharacteristic
64C2×#929C2211yescharacteristic
65C2×C4×#67C2211yescharacteristic
66C2×C4×#67C2211yescharacteristic
67C2×C4×#67C2211yescharacteristic
68C2×C4×#67C2211yescharacteristic
69C22×(C2×D3)⋊C4C2211yescharacteristic
70C22×(C2×D3)⋊C4C2211yescharacteristic
71C2×#926C2211yescharacteristic
72C22×Dic3⋊C4C2211yescharacteristic
73#5231C2211yescharacteristic
74#5231C2211yescharacteristic
75#5230C2211yescharacteristic, complemented
76#5230C2211yescharacteristic, complemented
77#5229C2211yescharacteristic, complemented
78#5229C2211yescharacteristic, complemented
79#5223C2211yescharacteristic
80#5223C2211yescharacteristic
81#5223C2211yescharacteristic
82#5222C2211yescharacteristic, complemented
83#5222C2211yescharacteristic, complemented
84#5222C2211yescharacteristic, complemented
85#5220C2211yescharacteristic
86#5220C2211yescharacteristic
87#5220C2211yescharacteristic
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic, complemented
90#5220C2211yescharacteristic, complemented
91#5220C2211yescharacteristic, complemented
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5212C2211yescharacteristic, complemented
98#5211C2211yescharacteristic
99#5211C2211yescharacteristic
100#5211C2211yescharacteristic
101#5211C2211yescharacteristic, complemented
102#5211C2211yescharacteristic, complemented
103#5210C2211yescharacteristic
104#5210C2211yescharacteristic
105#5210C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107#5210C2211yescharacteristic, complemented
108#5210C2211yescharacteristic, complemented
109#5210C2211yescharacteristic, complemented
110C4×#217C2211yescharacteristic, complemented
111C2×C3⋊#95C2211yescharacteristic
112C2×C3⋊#95C2211yescharacteristic
113C2×C3⋊#95C2211yescharacteristic, complemented
114#4994C2211yescharacteristic
115#4994C2211yescharacteristic
116#4994C2211yescharacteristic
117#4993C2211yescharacteristic
118#4992C2211yescharacteristic
119#4990C2211yescharacteristic
120#4990C2211yescharacteristic
121#4990C2211yescharacteristic
122#4989C2211yescharacteristic
123#4989C2211yescharacteristic
124#4989C2211yescharacteristic
125#4989C2211yescharacteristic
126#4989C2211yescharacteristic
127#4989C2211yescharacteristic
128#4989C2211yescharacteristic
129#4989C2211yescharacteristic
130#4989C2211yescharacteristic
131#4989C2211yescharacteristic
132#4989C2211yescharacteristic
133#4989C2211yescharacteristic
134#4986C2211yescharacteristic, complemented
135#4986C2211yescharacteristic, complemented
136#4986C2211yescharacteristic, complemented
137#4985C2211yescharacteristic, complemented
138#4983C2211yescharacteristic, complemented
139#4982C2211yescharacteristic, complemented
140#4982C2211yescharacteristic, complemented
141#4982C2211yescharacteristic, complemented
142#4981C2211yescharacteristic, complemented
143#4981C2211yescharacteristic, complemented
144#4981C2211yescharacteristic, complemented
145#4978C2211yescharacteristic, complemented
146#4978C2211yescharacteristic, complemented
147#4978C2211yescharacteristic, complemented
148#4978C2211yescharacteristic, complemented
149#4978C2211yescharacteristic, complemented
150#4978C2211yescharacteristic, complemented
151#4976C2211yescharacteristic, complemented
152#4976C2211yescharacteristic, complemented
153#4976C2211yescharacteristic, complemented
154#4961C2211yescharacteristic
155#4959C2211yescharacteristic
156#4959C2211yescharacteristic
157#4959C2211yescharacteristic
158#4959C2211yescharacteristic
159#4959C2211yescharacteristic
160#4958C2211yescharacteristic
161#4958C2211yescharacteristic
162#4958C2211yescharacteristic
163#4957C2211yescharacteristic
164#4956C2211yescharacteristic
165#4956C2211yescharacteristic
166#4956C2211yescharacteristic
167#4956C2211yescharacteristic
168#4955C2211yescharacteristic
169#4953C2211yescharacteristic, complemented
170#4952C2211yescharacteristic, complemented
171#4952C2211yescharacteristic, complemented
172#4952C2211yescharacteristic, complemented
173#4952C2211yescharacteristic, complemented
174#4952C2211yescharacteristic, complemented
175#4949C2211yescharacteristic, complemented
176#4948C2211yescharacteristic, complemented
177#4945C2211yescharacteristic, complemented
178#4944C2211yescharacteristic, complemented
179#4944C2211yescharacteristic, complemented
180#4943C2211yescharacteristic
181#4942C2211yescharacteristic
182#4942C2211yescharacteristic
183#4942C2211yescharacteristic, complemented
184#4942C2211yescharacteristic, complemented
185#4942C2211yescharacteristic, complemented
186#4940C2211yescharacteristic
187#4940C2211yescharacteristic
188#4933C2211yescharacteristic, complemented
189#4933C2211yescharacteristic, complemented
190C2×#547D311yescharacteristic, complemented
191C2×#525—31no—
192#2849—31no—
193#2732—31no—
194#2729—31no—
195#2729—31no—
196#2728—31no—
197#2708—31no—
198#2708—31no—
199#2688—31no—
200#2671—31no—
201#2638—31no—
202#2630—31no—
203#2602—31no—
204#2600—31no—
205#2579—31no—
206#2564—31no—
207#2534—31no—
208#2498—31no—
209#2486—31no—
210#2484—31no—
211#2425—31no—
212#2424—31no—
213#2419—31no—
214#2418—31no—
215#2406—31no—
216#2404—31no—
217#2339—31no—
218#2325—31no—
219#2322—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C2×C3×#41—24no—
223C2×C3×#41—42no—
224C2×C3×#41—42no—
225C2×C3×#41—42no—
226C2×C3×#41—42no—
227C2×C3×#41D418yescomplemented
228C22×C3×Q8C2311yescharacteristic
229C22×C3×Q8C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C22×C4×D3—24no—
256C22×C4×D3—42no—
257C22×C4×D3—42no—
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C3×C4⋊Q8—24no—
263C3×#123—24no—
264C3×#123—24no—
265C3×#123—24no—
266C3×#123—24no—
267C3×C22⋊Q8—24no—
268C3×C22⋊Q8—24no—
269C3×#121—24no—
270C3×#121—24no—
271C3×C4×D4—24no—
272C3×C4×D4—24no—
273C2×C3×C4⋊C4—24no—
274C2×C3×C4⋊C4—24no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314#946—24no—
315#946—24no—
316#939—24no—
317#938—24no—
318#938—24no—
319#937—24no—
320#937—24no—
321#937—42no—
322#935—24no—
323#935—24no—
324#935—42no—
325D4×Dic3—42no—
326D4×Dic3—42no—
327#929—24no—
328C4×#67—24no—
329C4×#67—24no—
330C4×#67—24no—
331C4×#67—24no—
332C2×(C2×D3)⋊C4—24no—
333C2×(C2×D3)⋊C4—42no—
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352#926—24no—
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×Dic3⋊C4—42no—
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41C2×D311yescharacteristic
421C22×#41C2×D311yescharacteristic
422C24×C4—31no—
423#547—28no—
424C2×C4⋊Q8C2×D311yescharacteristic, complemented
425#525—68no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123C2×D311yescharacteristic
431C2×#123C2×D311yescharacteristic
432C2×#123C2×D311yescharacteristic, complemented
433C2×#123C2×D311yescharacteristic, complemented
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8C2×D311yescharacteristic, complemented
437C2×C22⋊Q8C2×D311yescharacteristic, complemented
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121C2×D311yescharacteristic
442C2×#121C2×D311yescharacteristic, complemented
443C2×#120—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4C2×D311yescharacteristic
453C2×C4×D4C2×D311yescharacteristic, complemented
454C2×#117—31no—
455C22×C4⋊C4—31no—
456C22×C4⋊C4C2×D311yescharacteristic
457C22×C4⋊C4C2×D311yescharacteristic, complemented
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460#400—31no—
461#400—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#393—31no—
496#393—31no—
497#392—31no—
498#392—31no—
499#392—31no—
500#391—31no—
501#391—31no—
502#390—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#381—31no—
565#381—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573C4×C22⋊C4—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C24×C3C2411yescharacteristic
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C3×#41—416no—
591C3×#41—416no—
592C2×C3×Q8—22no—
593C2×C3×Q8—41no—
594C2×C3×Q8—41no—
595C2×C3×Q8—41no—
596C2×C3×Q8—41no—
597C2×C3×Q8C2×D414yes—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4C2×D414yes—
614C2×C3×D4C2×D414yes—
615C2×C3×D4C2×D414yes—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4C2×D414yes—
638C22×C3×C4C2×D414yes—
639C22×C3×C4C2×D414yes—
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—416no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—22no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C42—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4#4114yescomplemented
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—41no—
793C4×Dic3—41no—
794C25—31no—
795C2×#41—24no—
796C2×#41—42no—
797C2×#41—42no—
798C2×#41—42no—
799C2×#41—42no—
800C2×#41#6718yescomplemented
801C22×Q8C22×D311yescharacteristic
802C22×Q8C22×D311yescharacteristic
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4C22×D311yescharacteristic
810C22×D4C22×D311yescharacteristic
811C22×D4C22×D311yescharacteristic
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C22×D4C22×D311yescharacteristic
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—64no—
825C23×C4—122no—
826C23×C4—122no—
827C23×C4C22×D311yescharacteristic
828C23×C4C22×D311yescharacteristic
829C23×C4C22×D311yescharacteristic
830C23×C4C22×D311yescharacteristic
831C23×C4C22×D311yescharacteristic
832C23×C4C22×D311yescharacteristic
833C23×C4C22×D311yescharacteristic
834C23×C4C22×D311yescharacteristic
835C4⋊Q8—24no—
836#123—24no—
837#123—24no—
838#123—24no—
839#123—24no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—122no—
844C22⋊Q8—24no—
845C22⋊Q8—24no—
846C22⋊Q8—64no—
847C22⋊Q8—64no—
848#121—24no—
849#121—24no—
850#121—64no—
851#121—64no—
852#121—64no—
853#120—64no—
854#120—64no—
855#120—122no—
856C4×D4—24no—
857C4×D4—24no—
858C4×D4—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—64no—
862C4×D4—122no—
863C4×D4—122no—
864#117—64no—
865C2×C4⋊C4—24no—
866C2×C4⋊C4—24no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—122no—
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—64no—
939C2×C22⋊C4—122no—
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42C22×D311yescharacteristic
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3C22×D412yes—
1017C23×C3C22×D412yes—
1018C23×C3C22×D412yes—
1019C23×C3H(5,𝔽2)12yes—
1020C23×C3H(5,𝔽2)12yes—
1021C23×C3C2511yescharacteristic
1022C22×D3—28no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3C2×#4112yes—
1042C22×D32−1+412yes—
1043C3×Q8—44no—
1044C3×Q8—44no—
1045C3×D4—28no—
1046C3×D4—28no—
1047C3×D4—44no—
1048C3×D4—44no—
1049C3×D4—44no—
1050C3×D4—44no—
1051C2×C3×C4—28no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—44no—
1081C2×C3×C4—44no—
1082C2×C3×C4—44no—
1083C2×C3×C4—44no—
1084C2×C3×C4—44no—
1085C2×C3×C4—44no—
1086C2×C3×C4—44no—
1087C2×C3×C4C22×D412yes—
1088C2×C3×C4C22×D412yes—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4C22×D412yes—
1091C2×C3×C4C2×#4112yes—
1092#67—44no—
1093#67—44no—
1094#67—44no—
1095#67—44no—
1096#67—82no—
1097#67—82no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—44no—
1140C2×Dic3—44no—
1141C2×Dic3—82no—
1142C2×Dic3—82no—
1143C2×Dic3—82no—
1144C2×Dic3C2×#4112yes—
1145C4×D3—44no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C24—31no—
1150C24—31no—
1151C24—62no—
1152C24—62no—
1153C24—62no—
1154C24—62no—
1155C24—62no—
1156C24—121no—
1157C24—121no—
1158C24C23×D311yescharacteristic
1159C24C23×D311yescharacteristic
1160C24C23×D311yescharacteristic
1161C24C23×D311yescharacteristic
1162#41—416no—
1163#41—416no—
1164C2×Q8—22no—
1165C2×Q8—41no—
1166C2×Q8—41no—
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C2×#6714yes—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4C2×#6714yes—
1204C2×D4C2×#6714yes—
1205C2×D4C2×#6714yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—31no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—1216no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4C2×#6714yes—
1270C22×C4C2×#6714yes—
1271C22×C4C2×#6714yes—
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4—121no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—34no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C42—22no—
1362C42—62no—
1363C42—62no—
1364C42—121no—
1365C42—121no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—22no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3#53414yes—
1394C22×C3C23×D411yescharacteristic
1395C22×C3C22×#4111yescharacteristic
1396C22×C3C2×H(5,𝔽2)11yescharacteristic
1397C22×C3C2×H(5,𝔽2)11yescharacteristic
1398C22×C3C2×2−1+411yescharacteristic
1399C22×C3#58511yescharacteristic
1400C22×C3#58511yescharacteristic
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—416no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—22no—
1419C3×C4—22no—
1420C3×C4—22no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427Dic3—22no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—32no—
1465C23—32no—
1466C23—68no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—124no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—124no—
1484C23—124no—
1485C23#100412yes—
1486C23#100412yes—
1487C23C22×#6712yes—
1488C23C22×#6712yes—
1489C23C22×#6712yes—
1490C23C24×D311yescharacteristic
1491Q8—44no—
1492Q8—44no—
1493D4—28no—
1494D4—28no—
1495D4—44no—
1496D4—44no—
1497D4—44no—
1498D4—44no—
1499D4—124no—
1500D4—124no—
1501D4—124no—
1502D4—124no—
1503D4—242no—
1504D4—242no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—28no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—32no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—124no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—242no—
1590C2×C4—242no—
1591C2×C4—242no—
1592C2×C4D3×#4112yes—
1593C2×C4C22×#6712yes—
1594C2×C4C22×#6712yes—
1595C2×C4C22×#6712yes—
1596C2×C4C22×#6712yes—
1597C2×C3—24no—
1598C2×C3—42no—
1599C2×C3—42no—
1600C2×C3—81no—
1601C2×C3C2×#53411yescharacteristic
1602C2×C3D4×#4111yescharacteristic
1603C2×C3#348911yescharacteristic
1604C2×C3#349211yescharacteristic
1605C2×C3#351311yescharacteristic
1606C2×C3#353311yescharacteristic
1607C2×C3#353511yescharacteristic
1608D3—42no—
1609D3—42no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—62no—
1643C22—1216no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22#580414yes—
1653C22C2×#100411yescharacteristic
1654C22C2×#100411yescharacteristic
1655C22C2×D3×#4111yescharacteristic
1656C22#596411yescharacteristic
1657C22D3×2−1+411yescharacteristic
1658C22#596811yescharacteristic
1659C22C23×#6711yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—62no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C3#3836511yescharacteristic, complemented, Sylow
1686C2—24no—
1687C2—42no—
1688C2—42no—
1689C2—81no—
1690C2—122no—
1691C2—122no—
1692C2#8668111yescharacteristic
1693C2#8668911yescharacteristic
1694C2#8670111yescharacteristic
1695C2#8670411yescharacteristic
1696C2C2×#580411yescharacteristic
1697C2#41×#6711yescharacteristic
1698C2#8729511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#547C2
hypercenterC2×#547D3
hypocenterC3#38365
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. C2×C3×#547C2semidirect
2. C2×#5828C2semidirect
3. #84096C2semidirect
4. #84090C2semidirect
5. #84088C2semidirect
6. #83267C2semidirect
7. #83267C2semidirect
8. #82912C2semidirect
9. #82910C2semidirect
10. #82910C2semidirect
11. #82904C2semidirect
12. #82902C2semidirect
13. #82900C2semidirect
14. #82858C2semidirect
15. #82856C2semidirect
16. #82831C2semidirect
17. #82823C2semidirect
18. #82807C2semidirect
19. #82784C2semidirect
20. #82715C2semidirect
21. #82706C2semidirect
22. #82688C2semidirect
23. #82645C2semidirect
24. #82419C2semidirect
25. #82404C2semidirect
26. #82354C2semidirect
27. #82327C2semidirect
28. #82198C2semidirect
29. C2×#4989C2semidirect
30. #82176C2semidirect
31. #82158C2semidirect
37. C2×C3×C4⋊Q8C22semidirect
40. C2×C3×#123C22semidirect
41. C2×C3×#123C22semidirect
42. C2×C3×C22⋊Q8C22semidirect
43. C2×C3×C22⋊Q8C22semidirect
45. C2×C3×#121C22semidirect
47. C2×C3×C4×D4C22semidirect
49. C22×C3×C4⋊C4C22semidirect
75. #5230C22semidirect
76. #5230C22semidirect
77. #5229C22semidirect
78. #5229C22semidirect
82. #5222C22semidirect
83. #5222C22semidirect
84. #5222C22semidirect
89. #5220C22semidirect
90. #5220C22semidirect
91. #5220C22semidirect
97. #5212C22semidirect
101. #5211C22semidirect
102. #5211C22semidirect
105. #5210C22semidirect
106. #5210C22semidirect
107. #5210C22semidirect
108. #5210C22semidirect
109. #5210C22semidirect
110. C4×#217C22semidirect
113. C2×C3⋊#95C22semidirect
134. #4986C22semidirect
135. #4986C22semidirect
136. #4986C22semidirect
137. #4985C22semidirect
138. #4983C22semidirect
139. #4982C22semidirect
140. #4982C22semidirect
141. #4982C22semidirect
142. #4981C22semidirect
143. #4981C22semidirect
144. #4981C22semidirect
145. #4978C22semidirect
146. #4978C22semidirect
147. #4978C22semidirect
148. #4978C22semidirect
149. #4978C22semidirect
150. #4978C22semidirect
151. #4976C22semidirect
152. #4976C22semidirect
153. #4976C22semidirect
169. #4953C22semidirect
170. #4952C22semidirect
171. #4952C22semidirect
172. #4952C22semidirect
173. #4952C22semidirect
174. #4952C22semidirect
175. #4949C22semidirect
176. #4948C22semidirect
177. #4945C22semidirect
178. #4944C22semidirect
179. #4944C22semidirect
183. #4942C22semidirect
184. #4942C22semidirect
185. #4942C22semidirect
188. #4933C22semidirect
189. #4933C22semidirect
190. C2×#547D3semidirect
227. C2×C3×#41D4semidirect
424. C2×C4⋊Q8C2×D3semidirect
432. C2×#123C2×D3semidirect
433. C2×#123C2×D3semidirect
436. C2×C22⋊Q8C2×D3semidirect
437. C2×C22⋊Q8C2×D3semidirect
442. C2×#121C2×D3semidirect
453. C2×C4×D4C2×D3semidirect
457. C22×C4⋊C4C2×D3semidirect
767. (C2×D3)⋊C4#41semidirect
800. C2×#41#67semidirect
1685. C3#38365semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5472
C2×#58282
#840962
#840902
#840882
#832672
#829122
#829102
#829042
#829022
#829002
#828582
#828562
#828312
#828232
#828072
#827842
#827152
#827062
#826882
#826452
#824192
#824042
#823542
#823272
#821982
C2×#49892
#821762
#821582
#383653