Finite Group Databasebeta

← #11042713

Subgroups — #11042713

Order 768.

2556 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5656C211yesmaximal, characteristic, complemented
2C2×#5531C211yesmaximal, characteristic, complemented
3C3×#2413C211yesmaximal, characteristic, complemented
4#82901C211yesmaximal, characteristic, complemented
5#82846C211yesmaximal, characteristic, complemented
6#82841C211yesmaximal, characteristic, complemented
7#82275C211yesmaximal, characteristic, complemented
8C2×#4989C211yesmaximal, characteristic, complemented
9#82177C211yesmaximal, characteristic, complemented
10#77975C211yesmaximal, characteristic, complemented
11#77861C211yesmaximal, characteristic, complemented
12#77822C211yesmaximal, characteristic, complemented
13#77812C211yesmaximal, characteristic, complemented
14#77429C211yesmaximal, characteristic, complemented
15#77359C211yesmaximal, characteristic, complemented
16#77335C211yesmaximal, characteristic, complemented
17#77320C211yesmaximal, characteristic, complemented
18#76198C211yesmaximal, characteristic, complemented
19#76121C211yesmaximal, characteristic, complemented
20#76119C211yesmaximal, characteristic, complemented
21#76075C211yesmaximal, characteristic, complemented
22#75930C211yesmaximal, characteristic, complemented
23#75929C211yesmaximal, characteristic, complemented
24#75895C211yesmaximal, characteristic, complemented
25#75462C211yesmaximal, characteristic, complemented
26#74727C211yesmaximal, characteristic, complemented
27#74699C211yesmaximal, characteristic, complemented
28#74605C211yesmaximal, characteristic, complemented
29#74392C211yesmaximal, characteristic, complemented
30#74146C211yesmaximal, characteristic, complemented
31#74076C211yesmaximal, characteristic, complemented
32#38367—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic
38C22×C3×C4⋊C4C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C2×#929C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C2×#929C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C22×Dic3⋊C4C2211yescharacteristic
49#5656—28no—
50#5531—28no—
51C2×#898C2211yescharacteristic, complemented
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#889C2211yescharacteristic, complemented
59C2×#889C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#877C2211yescharacteristic
71C2×#876C2211yescharacteristic, complemented
72C2×#872C2211yescharacteristic, complemented
73C2×#870C2211yescharacteristic, complemented
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#396C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#381C2211yescharacteristic
86#5220C2211yescharacteristic
87C4×#217C2211yescharacteristic
88C2×C3⋊#95C2211yescharacteristic
89C2×C3⋊#95C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic
93#4993C2211yescharacteristic
94#4993C2211yescharacteristic
95#4993C2211yescharacteristic, complemented
96#4993C2211yescharacteristic, complemented
97#4993C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4988C2211yescharacteristic
114#4988C2211yescharacteristic
115#4988C2211yescharacteristic
116#4988C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4983C2211yescharacteristic, complemented
120#4979C2211yescharacteristic, complemented
121#4979C2211yescharacteristic, complemented
122#4978C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124#4977C2211yescharacteristic, complemented
125#4975C2211yescharacteristic, complemented
126#4975C2211yescharacteristic, complemented
127Dic3×C4⋊C4C2211yescharacteristic, complemented
128#4972C2211yescharacteristic, complemented
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic, complemented
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic
139#4958C2211yescharacteristic
140#4958C2211yescharacteristic, complemented
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4956C2211yescharacteristic, complemented
145#4955C2211yescharacteristic
146#4950C2211yescharacteristic
147#4950C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4946C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4943C2211yescharacteristic
153Dic3×C22⋊C4C2211yescharacteristic
154#4940C2211yescharacteristic
155#4940C2211yescharacteristic
156#4939C2211yescharacteristic
157#4939C2211yescharacteristic
158#4675C2211yescharacteristic
159#4675C2211yescharacteristic, complemented
160#4673C2211yescharacteristic
161#4673C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4672C2211yescharacteristic
164#4671C2211yescharacteristic
165#4670C2211yescharacteristic
166#4670C2211yescharacteristic
167#4670C2211yescharacteristic, complemented
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#552—31no—
191C2×#525—31no—
192#2849—31no—
193#2723—31no—
194#2720—31no—
195#2720—31no—
196#2714—31no—
197#2711—31no—
198#2711—31no—
199#2692—31no—
200#2676—31no—
201#2636—31no—
202#2633—31no—
203#2603—31no—
204#2598—31no—
205#2580—31no—
206#2566—31no—
207#2539—31no—
208#2501—31no—
209#2488—31no—
210#2472—31no—
211#2430—31no—
212#2425—31no—
213#2424—31no—
214#2413D311yescharacteristic, complemented
215#2411—31no—
216#2406—31no—
217#2343—31no—
218#2326—31no—
219#2324—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#237—24no—
237C2×#237—42no—
238C2×#237—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3—24no—
245C22×C4×D3—42no—
246C22×C4×D3—42no—
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C3×#123—24no—
256C3×#123—42no—
257C3×#117—24no—
258C2×C3×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#939—42no—
288#937—24no—
289#930—42no—
290#929—24no—
291#929—24no—
292#929—42no—
293#929—42no—
294C2×(C2×D3)⋊C4—24no—
295C2×(C2×D3)⋊C4—42no—
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×Dic3⋊C4—24no—
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×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#898—24no—
365#896—24no—
366#896—24no—
367#896—24no—
368#895—24no—
369#893—24no—
370#893—24no—
371#889—24no—
372#889—24no—
373#886—24no—
374#885—24no—
375#884—24no—
376#884—24no—
377#882—24no—
378#882—42no—
379#67⋊C4—24no—
380#67⋊C4—24no—
381#67⋊C4—24no—
382#878—24no—
383#877D418yescomplemented
384#876—24no—
385#872—24no—
386#870—24no—
387C4×Dic6—24no—
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×#41—31no—
421C24×C4—31no—
422#552—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#125—31no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123C2×D311yescharacteristic
436C2×#123C2×D311yescharacteristic
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×Q8—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×#117—31no—
456C2×#117—31no—
457C2×#117C2×D311yescharacteristic
458C22×C4⋊C4—31no—
459C22×C4⋊C4C2×D311yescharacteristic
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398C2×D311yescharacteristic, complemented
472#398C2×D311yescharacteristic, complemented
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396C2×D311yescharacteristic, complemented
481#396C2×D311yescharacteristic, complemented
482#395—31no—
483#395—31no—
484#395—31no—
485#394—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#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#389—31no—
514#389C2×D311yescharacteristic, complemented
515#389C2×D311yescharacteristic, complemented
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388C2×D311yescharacteristic, complemented
525#388C2×D311yescharacteristic, complemented
526#387—31no—
527#387—31no—
528#387—31no—
529#387—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#386C2×D311yescharacteristic
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#385—31no—
561#385C2×D311yescharacteristic
562#384—31no—
563#384—31no—
564#383—31no—
565#382—31no—
566#382—31no—
567#381—31no—
568#381C2×D311yescharacteristic
569#380—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574#376—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—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3C2×D414yes—
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657#237—416no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
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—41no—
681C2×C4×D3—41no—
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—41no—
691C2×C4×D3—416no—
692C2×Dic6—22no—
693C2×Dic6—22no—
694C2×Dic6—22no—
695C2×Dic6—41no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4C2×D414yes—
719C3×C42—22no—
720C3×C42—22no—
721#217—22no—
722#217—22no—
723#217—41no—
724#217—41no—
725#217C2×D414yes—
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—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4#4114yescomplemented
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—41no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
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⋊C4C2×D414yes—
785Dic3⋊C4C2×D414yes—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—41no—
789C4×Dic3—41no—
790C4×Dic3—41no—
791C4×Dic3C2×D414yes—
792C4×Dic3C2×D414yes—
793C25—31no—
794C2×#41—64no—
795C2×#41—122no—
796C2×#41—122no—
797C22×Q8—31no—
798C22×Q8—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4C22×D311yescharacteristic
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—64no—
822C23×C4—122no—
823C23×C4—122no—
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826C23×C4C22×D311yescharacteristic
827#126—64no—
828#126—64no—
829#125—64no—
830#125—64no—
831#125—64no—
832#124—64no—
833#123—24no—
834#123—42no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—122no—
839#123—122no—
840C22⋊Q8—64no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844#121—64no—
845#121—64no—
846#121—64no—
847#121—122no—
848#121—122no—
849#120—64no—
850#120—64no—
851#120—122no—
852C4×Q8—64no—
853C4×D4—64no—
854C4×D4—64no—
855C4×D4—64no—
856C4×D4—64no—
857C4×D4—64no—
858#117—24no—
859#117—38no—
860#117—64no—
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—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—42no—
886C2×C4⋊C4—64no—
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
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×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—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—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—64no—
941C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42C22×D311yescharacteristic
959C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
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×C3C22×D412yes—
1004C23×C3H(5,𝔽2)12yes—
1005C23×C3H(5,𝔽2)12yes—
1006C23×C3C2511yescharacteristic
1007C22×D3—28no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
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—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3C2×#4112yes—
1041C22×D32−1+412yes—
1042C3×D4—44no—
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—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—44no—
1080C2×C3×C4—44no—
1081C2×C3×C4—44no—
1082C2×C3×C4C22×D412yes—
1083C2×C3×C4C22×D412yes—
1084C2×C3×C4C2×#4112yes—
1085#67—44no—
1086#67—44no—
1087#67—44no—
1088#67—44no—
1089#67—44no—
1090#67—82no—
1091C2×Dic3—28no—
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—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—44no—
1124C2×Dic3—44no—
1125C2×Dic3—82no—
1126C2×Dic3C22×D412yes—
1127C2×Dic3C22×D412yes—
1128C2×Dic3C22×D412yes—
1129C2×Dic3C22×D412yes—
1130C2×Dic3C2×#4112yes—
1131D12—44no—
1132D12—44no—
1133D12—82no—
1134D12—82no—
1135D12—82no—
1136C4×D3—44no—
1137C4×D3—44no—
1138C4×D3—44no—
1139C4×D3—44no—
1140C4×D3—44no—
1141C4×D3—44no—
1142Dic6—44no—
1143Dic6—44no—
1144C24—31no—
1145C24—31no—
1146C24—31no—
1147C24—31no—
1148C24—62no—
1149C24—62no—
1150C24—62no—
1151C24—62no—
1152C24—62no—
1153C24—121no—
1154C24—121no—
1155C24C23×D311yescharacteristic
1156C24C23×D311yescharacteristic
1157#41—1216no—
1158C2×Q8—62no—
1159C2×Q8—62no—
1160C2×Q8—62no—
1161C2×Q8—121no—
1162C2×Q8—121no—
1163C2×Q8—121no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—34no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—31no—
1221C22×C4—41no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—1216no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—34no—
1271C4⋊C4—34no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—34no—
1307C22⋊C4—34no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
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—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4D3×D414yes—
1351C42—22no—
1352C42—22no—
1353C42—34no—
1354C42—34no—
1355C42—62no—
1356C42—62no—
1357C42—121no—
1358C42—121no—
1359C42—121no—
1360C22×C3—22no—
1361C22×C3—22no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3#53514yes—
1374C22×C3C23×D411yescharacteristic
1375C22×C3C22×#4111yescharacteristic
1376C22×C3C2×H(5,𝔽2)11yescharacteristic
1377C22×C3C2×H(5,𝔽2)11yescharacteristic
1378C22×C3C2×2−1+411yescharacteristic
1379C22×C3#58511yescharacteristic
1380C22×C3#58511yescharacteristic
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—416no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C3×C4—22no—
1411C3×C4—22no—
1412C3×C4—22no—
1413C3×C4—41no—
1414C3×C4—41no—
1415C3×C4—41no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423Dic3—22no—
1424Dic3—22no—
1425Dic3—22no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—32no—
1447C23—32no—
1448C23—68no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—124no—
1476C23—124no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—124no—
1481C23C2×D3×D412yes—
1482C23#100412yes—
1483C23#100912yes—
1484C23C24×D311yescharacteristic
1485Q8—124no—
1486Q8—124no—
1487D4—44no—
1488D4—124no—
1489D4—124no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—124no—
1495D4—242no—
1496D4—242no—
1497D4—242no—
1498D4—242no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
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—21no—
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—21no—
1535C2×C4—32no—
1536C2×C4—32no—
1537C2×C4—32no—
1538C2×C4—32no—
1539C2×C4—32no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
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—68no—
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—124no—
1576C2×C4—124no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—242no—
1584C2×C4C2×D3×D412yes—
1585C2×C4C2×D3×D412yes—
1586C2×C4D3×#4112yes—
1587C2×C3—24no—
1588C2×C3—81no—
1589C2×C3C2×#53511yescharacteristic
1590C2×C3D4×#4111yescharacteristic
1591C2×C3#348911yescharacteristic
1592C2×C3#349211yescharacteristic
1593C2×C3#351311yescharacteristic
1594C2×C3#353311yescharacteristic
1595C2×C3#353511yescharacteristic
1596D3—42no—
1597D3—42no—
1598D3—81no—
1599D3—81no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—1216no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22#560714yes—
1643C22C22×D3×D411yescharacteristic
1644C22C2×#100411yescharacteristic
1645C22C2×D3×#4111yescharacteristic
1646C22C2×#100911yescharacteristic
1647C22#596411yescharacteristic
1648C22D3×2−1+411yescharacteristic
1649C22#596811yescharacteristic
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—62no—
1664C4—62no—
1665C4—62no—
1666C4—62no—
1667C4—62no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C3#3836711yescharacteristic, complemented, Sylow
1676C2—24no—
1677C2—81no—
1678C2—122no—
1679C2—122no—
1680C2—241no—
1681C2—241no—
1682C2C2×#560711yescharacteristic
1683C2#8604511yescharacteristic
1684C2#8635811yescharacteristic
1685C2#8667411yescharacteristic
1686C2#8667711yescharacteristic
1687C2#8686011yescharacteristic
1688C2#8686411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2413C2
hypercenter#2413D3
hypocenterC3#38367
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2413

Complements

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

NH ≅ G/Ntype
1. C2×#5656C2semidirect
2. C2×#5531C2semidirect
3. C3×#2413C2semidirect
4. #82901C2semidirect
5. #82846C2semidirect
6. #82841C2semidirect
7. #82275C2semidirect
8. C2×#4989C2semidirect
9. #82177C2semidirect
10. #77975C2semidirect
11. #77861C2semidirect
12. #77822C2semidirect
13. #77812C2semidirect
14. #77429C2semidirect
15. #77359C2semidirect
16. #77335C2semidirect
17. #77320C2semidirect
18. #76198C2semidirect
19. #76121C2semidirect
20. #76119C2semidirect
21. #76075C2semidirect
22. #75930C2semidirect
23. #75929C2semidirect
24. #75895C2semidirect
25. #75462C2semidirect
26. #74727C2semidirect
27. #74699C2semidirect
28. #74605C2semidirect
29. #74392C2semidirect
30. #74146C2semidirect
31. #74076C2semidirect
51. C2×#898C22semidirect
54. C2×#896C22semidirect
58. C2×#889C22semidirect
59. C2×#889C22semidirect
71. C2×#876C22semidirect
72. C2×#872C22semidirect
73. C2×#870C22semidirect
74. C2×C4×Dic6C22semidirect
75. C3×#398C22semidirect
76. C3×#398C22semidirect
77. C3×#396C22semidirect
78. C3×#396C22semidirect
79. C3×#389C22semidirect
80. C3×#389C22semidirect
81. C3×#388C22semidirect
82. C3×#388C22semidirect
95. #4993C22semidirect
96. #4993C22semidirect
97. #4993C22semidirect
98. #4993C22semidirect
99. #4992C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
116. #4988C22semidirect
117. #4988C22semidirect
118. #4987C22semidirect
119. #4983C22semidirect
120. #4979C22semidirect
121. #4979C22semidirect
122. #4978C22semidirect
123. #4978C22semidirect
124. #4977C22semidirect
125. #4975C22semidirect
126. #4975C22semidirect
127. Dic3×C4⋊C4C22semidirect
128. #4972C22semidirect
130. #4961C22semidirect
131. #4961C22semidirect
134. #4960C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
140. #4958C22semidirect
144. #4956C22semidirect
147. #4950C22semidirect
148. #4948C22semidirect
149. #4946C22semidirect
150. #4946C22semidirect
151. #4944C22semidirect
159. #4675C22semidirect
161. #4673C22semidirect
162. #4673C22semidirect
167. #4670C22semidirect
169. #4669C22semidirect
174. #4668C22semidirect
180. #4665C22semidirect
181. #4660C22semidirect
182. #4658C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4651C22semidirect
187. #4650C22semidirect
188. #4648C22semidirect
189. #4646C22semidirect
214. #2413D3semidirect
383. #877D4semidirect
471. #398C2×D3semidirect
472. #398C2×D3semidirect
480. #396C2×D3semidirect
481. #396C2×D3semidirect
514. #389C2×D3semidirect
515. #389C2×D3semidirect
524. #388C2×D3semidirect
525. #388C2×D3semidirect
761. (C2×D3)⋊C4#41semidirect
1675. C3#38367semidirect

Maximal subgroups

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

subgroupindex
C2×#56562
C2×#55312
C3×#24132
#829012
#828462
#828412
#822752
C2×#49892
#821772
#779752
#778612
#778222
#778122
#774292
#773592
#773352
#773202
#761982
#761212
#761192
#760752
#759302
#759292
#758952
#754622
#747272
#746992
#746052
#743922
#741462
#740762
#383673