Finite Group Databasebeta

← #11025046

Subgroups — #11025046

Order 768.

2540 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#946C211yesmaximal, characteristic, complemented
2C2×#5638C211yesmaximal, characteristic, complemented
3C3×#2409C211yesmaximal, characteristic, complemented
4#84068C211yesmaximal, characteristic, complemented
5#82831C211yesmaximal, characteristic, complemented
6#82817C211yesmaximal, characteristic, complemented
7#82792C211yesmaximal, characteristic, complemented
8#82398C211yesmaximal, characteristic, complemented
9#82356C211yesmaximal, characteristic, complemented
10#77257C211yesmaximal, characteristic, complemented
11#77252C211yesmaximal, characteristic, complemented
12#77222C211yesmaximal, characteristic, complemented
13#77214C211yesmaximal, characteristic, complemented
14#76875C211yesmaximal, characteristic, complemented
15#76872C211yesmaximal, characteristic, complemented
16#76867C211yesmaximal, characteristic, complemented
17#76832C211yesmaximal, characteristic, complemented
18#76654C211yesmaximal, characteristic, complemented
19#76629C211yesmaximal, characteristic, complemented
20#76612C211yesmaximal, characteristic, complemented
21#76563C211yesmaximal, characteristic, complemented
22#74935C211yesmaximal, characteristic
23#74890C211yesmaximal, characteristic, complemented
24#74737C211yesmaximal, characteristic, complemented
25#74702C211yesmaximal, characteristic, complemented
26#74596C211yesmaximal, characteristic, complemented
27D3×#385C211yesmaximal, characteristic, complemented
28#74454C211yesmaximal, characteristic, complemented
29#74417C211yesmaximal, characteristic, complemented
30#74018C211yesmaximal, characteristic, complemented
31#73902C211yesmaximal, characteristic, complemented
32#37702—31nomaximal, Sylow
33C23×C3×Q8C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C2×#946—28no—
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic
44C2×#946C2211yescharacteristic
45C2×#946C2211yescharacteristic
46C2×#946C2211yescharacteristic
47C2×#946C2211yescharacteristic, complemented
48C2×#946C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#929C2211yescharacteristic, complemented
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C22×C4⋊Dic3C2211yescharacteristic
57C22×Dic3⋊C4C2211yescharacteristic
58C22×Dic3⋊C4C2211yescharacteristic
59#5638—28no—
60C2×#898C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic
62C2×#893C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic
65C2×#889C2211yescharacteristic, complemented
66C2×#889C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#879C2211yescharacteristic, complemented
75C3×#395C2211yescharacteristic, complemented
76C3×#395C2211yescharacteristic, complemented
77C3×#393C2211yescharacteristic, complemented
78C3×#393C2211yescharacteristic, complemented
79C3×#391C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#380C2211yescharacteristic
86#5231C2211yescharacteristic, complemented
87#5231C2211yescharacteristic, complemented
88#5230C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5229C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5212C2211yescharacteristic
98#5210C2211yescharacteristic
99#5210C2211yescharacteristic
100#5210C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4992C2211yescharacteristic
104#4991C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic
112#4988C2211yescharacteristic
113#4986C2211yescharacteristic, complemented
114#4985C2211yescharacteristic, complemented
115#4983C2211yescharacteristic, complemented
116#4983C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4980C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4961C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4957C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4953C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4950C2211yescharacteristic
137#4949C2211yescharacteristic, complemented
138#4948C2211yescharacteristic, complemented
139#4946C2211yescharacteristic
140#4945C2211yescharacteristic, complemented
141#4942C2211yescharacteristic
142#4942C2211yescharacteristic
143#4942C2211yescharacteristic
144Dic3×C22⋊C4C2211yescharacteristic
145Dic3×C22⋊C4C2211yescharacteristic
146#4940C2211yescharacteristic
147#4940C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic
149#4933C2211yescharacteristic, complemented
150#4675C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic, complemented
153#4674C2211yescharacteristic
154#4674C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4670C2211yescharacteristic, complemented
157#4669C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic, complemented
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4666C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172D3×#95C2211yescharacteristic
173D3×#95C2211yescharacteristic
174#4660C2211yescharacteristic, complemented
175#4660C2211yescharacteristic, complemented
176#4659C2211yescharacteristic, complemented
177#4659C2211yescharacteristic, complemented
178#4658C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×C22⋊Q8—31no—
192#2847—31no—
193#2728—31no—
194#2728—31no—
195#2723—31no—
196#2723—31no—
197#2690—31no—
198#2690—31no—
199#2681—31no—
200#2681—31no—
201#2639—31no—
202#2627—31no—
203#2488—31no—
204#2488—31no—
205#2481—31no—
206#2481—31no—
207#2449—31no—
208#2449—31no—
209#2443—31no—
210#2443—31no—
211#2442—31no—
212#2442—31no—
213#2412—31no—
214#2412—31no—
215#2409—31no—
216#2409D311yescharacteristic, complemented
217#2358—31no—
218#2358—31no—
219#2329—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8—24no—
223C22×C3×Q8—42no—
224C22×C3×Q8—42no—
225C22×C3×Q8C2311yescharacteristic
226C22×C3×Q8C2311yescharacteristic
227C22×C3×Q8C2311yescharacteristic
228C22×C3×Q8C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3—24no—
244C22×C4×D3—42no—
245C22×C4×D3—42no—
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C3×C22⋊Q8—24no—
256C3×C22⋊Q8—42no—
257C3×C4×D4—42no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282#946—24no—
283#946—24no—
284#946—24no—
285#946—24no—
286#946—24no—
287#946—24no—
288#946—24no—
289#946—24no—
290#946—42no—
291#946D418yescomplemented
292#939—42no—
293#937—24no—
294#929—24no—
295C4×#67—24no—
296C4×#67—42no—
297C2×(C2×D3)⋊C4—24no—
298C2×(C2×D3)⋊C4—24no—
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×C4⋊Dic3—24no—
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×Dic3⋊C4—24no—
335C2×Dic3⋊C4—24no—
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#898—24no—
364#894—24no—
365#893—24no—
366D3×C4⋊C4—24no—
367D3×C4⋊C4—42no—
368#889—24no—
369#889—24no—
370#884—24no—
371#884—42no—
372#883—24no—
373#883—24no—
374#882—24no—
375D3×C22⋊C4—24no—
376D3×C22⋊C4—42no—
377#879—24no—
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
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
420C23×Q8C2×D311yescharacteristic
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—68no—
442C2×C22⋊Q8C2×D311yescharacteristic, complemented
443C2×C22⋊Q8C2×D311yescharacteristic, complemented
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4C2×D311yescharacteristic
453C22×C4⋊C4—31no—
454C22×C4⋊C4—31no—
455C22×C4⋊C4—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#395C2×D311yescharacteristic, complemented
491#395C2×D311yescharacteristic, complemented
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#393—31no—
499#393—31no—
500#393C2×D311yescharacteristic, complemented
501#393C2×D311yescharacteristic, complemented
502#391—31no—
503#391—31no—
504#391C2×D311yescharacteristic, complemented
505#391C2×D311yescharacteristic, complemented
506#390—31no—
507#390—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—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#386—31no—
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
559#385C2×D311yescharacteristic
560#382—31no—
561#382—31no—
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380C2×D311yescharacteristic
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3#4114yes—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×Q8—22no—
590C2×C3×Q8—22no—
591C2×C3×Q8—22no—
592C2×C3×Q8—22no—
593C2×C3×Q8—22no—
594C2×C3×Q8—41no—
595C2×C3×Q8—41no—
596C2×C3×Q8—41no—
597C2×C3×Q8—41no—
598C2×C3×Q8—41no—
599C2×C3×Q8—41no—
600C2×C3×Q8—416no—
601C2×C3×Q8C2×D414yes—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—41no—
669C2×D12—41no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—416no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3C2×D414yes—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C42—41no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—41no—
720#217—41no—
721#217—41no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4C2×D414yes—
747(C2×D3)⋊C4C2×D414yes—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3C2×D414yes—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4C2×D414yes—
777Dic3⋊C4C2×D414yes—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25—31no—
784C22×Q8—24no—
785C22×Q8—42no—
786C22×Q8—42no—
787C22×Q8C22×D311yescharacteristic
788C22×Q8C22×D311yescharacteristic
789C22×Q8C22×D311yescharacteristic
790C22×Q8C22×D311yescharacteristic
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—64no—
811C23×C4—122no—
812C23×C4—122no—
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815C23×C4C22×D311yescharacteristic
816C23×C4C22×D311yescharacteristic
817#126—64no—
818#126—64no—
819#125—64no—
820#125—64no—
821#123—64no—
822#123—64no—
823#123—64no—
824#123—64no—
825C22⋊Q8—24no—
826C22⋊Q8—38no—
827C22⋊Q8—42no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—122no—
837#121—64no—
838#121—122no—
839#121—122no—
840#120—64no—
841#120—64no—
842C4×D4—42no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—122no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
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—64no—
877C2×C4⋊C4—64no—
878C2×C4⋊C4—64no—
879C2×C4⋊C4—64no—
880C2×C4⋊C4—122no—
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
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—64no—
923C2×C22⋊C4—64no—
924C2×C22⋊C4—64no—
925C2×C22⋊C4—122no—
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42C22×D311yescharacteristic
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
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#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3C2×#4112yes—
994C23×C3H(5,𝔽2)12yes—
995C23×C32−1+412yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—28no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—28no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3—44no—
1021C22×D3C22×D412yes—
1022C22×D3C2×#4112yes—
1023C22×D3C2×#4112yes—
1024C22×D32−1+412yes—
1025C3×Q8—44no—
1026C3×Q8—44no—
1027C3×Q8—44no—
1028C3×Q8—44no—
1029C3×D4—44no—
1030C2×C3×C4—28no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
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—44no—
1067C2×C3×C4—44no—
1068C2×C3×C4—82no—
1069C2×C3×C4C22×D412yes—
1070C2×C3×C4C22×D412yes—
1071C2×C3×C4C22×D412yes—
1072C2×C3×C4H(5,𝔽2)12yes—
1073#67—44no—
1074#67—44no—
1075#67—82no—
1076#67—82no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
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—44no—
1114C2×Dic3—44no—
1115C2×Dic3—44no—
1116C2×Dic3C22×D412yes—
1117C2×Dic3C22×D412yes—
1118C2×Dic3C22×D412yes—
1119D12—44no—
1120D12—82no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125C4×D3—44no—
1126C4×D3—44no—
1127C4×D3—82no—
1128C4×D3—82no—
1129C4×D3—82no—
1130C24—31no—
1131C24—31no—
1132C24—34no—
1133C24—31no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—121no—
1139C24—121no—
1140C24C23×D311yescharacteristic
1141C24C23×D311yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×Q8—41no—
1150C2×Q8—41no—
1151C2×Q8—41no—
1152C2×Q8—41no—
1153C2×Q8—416no—
1154C2×Q8D3×D414yes—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—34no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—1216no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—34no—
1256C4⋊C4—34no—
1257C4⋊C4—34no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—34no—
1295C22⋊C4—34no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C42—41no—
1331C42—62no—
1332C42—62no—
1333C42—121no—
1334C42—121no—
1335C42—121no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3#53914yescomplemented
1350C22×C3C23×D411yescharacteristic
1351C22×C3C22×#4111yescharacteristic
1352C22×C3C2×H(5,𝔽2)11yescharacteristic
1353C22×C3C2×H(5,𝔽2)11yescharacteristic
1354C22×C3C2×2−1+411yescharacteristic
1355C22×C3C2×2−1+411yescharacteristic
1356C22×C3#58511yescharacteristic
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—416no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3#54814yes—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—22no—
1382C3×C4—22no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390C3×C4—41no—
1391C3×C4—41no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—22no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403Dic3—41no—
1404Dic3—41no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—32no—
1417C23—32no—
1418C23—32no—
1419C23—32no—
1420C23—68no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—68no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—124no—
1440C23—124no—
1441C23—124no—
1442C23—124no—
1443C23—124no—
1444C23#100412yes—
1445C23#100712yes—
1446C23D3×#4112yes—
1447C23C24×D311yescharacteristic
1448Q8—44no—
1449Q8—44no—
1450Q8—44no—
1451Q8—44no—
1452D4—44no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457D4—242no—
1458D4—242no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—32no—
1496C2×C4—32no—
1497C2×C4—32no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—82no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—124no—
1544C2×C4—124no—
1545C2×C4—124no—
1546C2×C4—242no—
1547C2×C4—242no—
1548C2×C4—242no—
1549C2×C4C2×D3×D412yes—
1550C2×C4C2×D3×D412yes—
1551C2×C4C2×D3×D412yes—
1552C2×C4#100412yes—
1553C2×C3—24no—
1554C2×C3—81no—
1555C2×C3C2×#53911yescharacteristic
1556C2×C3C2×#54811yescharacteristic
1557C2×C3#348411yescharacteristic
1558C2×C3#348911yescharacteristic
1559C2×C3#350511yescharacteristic
1560C2×C3#353511yescharacteristic
1561C2×C3#353811yescharacteristic
1562D3—24no—
1563D3—42no—
1564D3—81no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—34no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—62no—
1580C22—62no—
1581C22—62no—
1582C22—62no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—1216no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22#563814yescomplemented
1601C22C22×D3×D411yescharacteristic
1602C22C2×#100411yescharacteristic
1603C22C2×#100411yescharacteristic
1604C22C2×#100711yescharacteristic
1605C22C2×D3×#4111yescharacteristic
1606C22D3×2−1+411yescharacteristic
1607C22#596811yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—22no—
1611C4—22no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—62no—
1622C4—62no—
1623C4—62no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C3#3770211yescharacteristic, complemented, Sylow
1635C2—24no—
1636C2—64no—
1637C2—81no—
1638C2—122no—
1639C2—241no—
1640C2#8591911yescharacteristic
1641C2C2×#563811yescharacteristic
1642C2#8635811yescharacteristic
1643C2D3×#54811yescharacteristic
1644C2#8673811yescharacteristic
1645C2#8674511yescharacteristic
1646C2#8676211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2409C2
prime radical#74935C2
hypercenter#2409D3
hypocenterC3#37702
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2409

Complements

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

NH ≅ G/Ntype
1. C22×#946C2semidirect
2. C2×#5638C2semidirect
3. C3×#2409C2semidirect
4. #84068C2semidirect
5. #82831C2semidirect
6. #82817C2semidirect
7. #82792C2semidirect
8. #82398C2semidirect
9. #82356C2semidirect
10. #77257C2semidirect
11. #77252C2semidirect
12. #77222C2semidirect
13. #77214C2semidirect
14. #76875C2semidirect
15. #76872C2semidirect
16. #76867C2semidirect
17. #76832C2semidirect
18. #76654C2semidirect
19. #76629C2semidirect
20. #76612C2semidirect
21. #76563C2semidirect
23. #74890C2semidirect
24. #74737C2semidirect
25. #74702C2semidirect
26. #74596C2semidirect
27. D3×#385C2semidirect
28. #74454C2semidirect
29. #74417C2semidirect
30. #74018C2semidirect
31. #73902C2semidirect
35. C2×C3×C22⋊Q8C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
47. C2×#946C22semidirect
48. C2×#946C22semidirect
51. C2×#929C22semidirect
60. C2×#898C22semidirect
65. C2×#889C22semidirect
66. C2×#889C22semidirect
70. C2×#883C22semidirect
74. C2×#879C22semidirect
75. C3×#395C22semidirect
76. C3×#395C22semidirect
77. C3×#393C22semidirect
78. C3×#393C22semidirect
79. C3×#391C22semidirect
80. C3×#391C22semidirect
86. #5231C22semidirect
87. #5231C22semidirect
88. #5230C22semidirect
89. #5230C22semidirect
90. #5229C22semidirect
91. #5229C22semidirect
100. #5210C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
113. #4986C22semidirect
114. #4985C22semidirect
115. #4983C22semidirect
116. #4983C22semidirect
117. #4982C22semidirect
118. #4981C22semidirect
119. #4980C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
133. #4953C22semidirect
134. #4952C22semidirect
135. #4951C22semidirect
137. #4949C22semidirect
138. #4948C22semidirect
140. #4945C22semidirect
147. #4940C22semidirect
149. #4933C22semidirect
152. #4675C22semidirect
154. #4674C22semidirect
156. #4670C22semidirect
161. #4668C22semidirect
174. #4660C22semidirect
175. #4660C22semidirect
176. #4659C22semidirect
177. #4659C22semidirect
178. #4658C22semidirect
179. #4658C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4653C22semidirect
185. #4652C22semidirect
186. #4650C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
216. #2409D3semidirect
291. #946D4semidirect
442. C2×C22⋊Q8C2×D3semidirect
443. C2×C22⋊Q8C2×D3semidirect
490. #395C2×D3semidirect
491. #395C2×D3semidirect
500. #393C2×D3semidirect
501. #393C2×D3semidirect
504. #391C2×D3semidirect
505. #391C2×D3semidirect
1349. C22×C3#539semidirect
1600. C22#5638semidirect
1634. C3#37702semidirect

Maximal subgroups

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

subgroupindex
C22×#9462
C2×#56382
C3×#24092
#840682
#828312
#828172
#827922
#823982
#823562
#772572
#772522
#772222
#772142
#768752
#768722
#768672
#768322
#766542
#766292
#766122
#765632
#749352
#748902
#747372
#747022
#745962
D3×#3852
#744542
#744172
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