Finite Group Databasebeta

← #11025232

Subgroups — #11025232

Order 768.

2600 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×#5665C211yesmaximal, characteristic, complemented
2C22×#883C211yesmaximal, characteristic, complemented
3C3×#2418C211yesmaximal, characteristic, complemented
4#82875C211yesmaximal, characteristic, complemented
5#82582C211yesmaximal, characteristic
6#82579C211yesmaximal, characteristic, complemented
7#82404C211yesmaximal, characteristic, complemented
8D4×C4⋊Dic3C211yesmaximal, characteristic, complemented
9#82110C211yesmaximal, characteristic, complemented
10#78063C211yesmaximal, characteristic, complemented
11#78058C211yesmaximal, characteristic, complemented
12#77595C211yesmaximal, characteristic, complemented
13#77515C211yesmaximal, characteristic, complemented
14#77150C211yesmaximal, characteristic, complemented
15#77139C211yesmaximal, characteristic, complemented
16#76974C211yesmaximal, characteristic, complemented
17#76908C211yesmaximal, characteristic, complemented
18#75931C211yesmaximal, characteristic, complemented
19#75668C211yesmaximal, characteristic, complemented
20#75601C211yesmaximal, characteristic, complemented
21#75470C211yesmaximal, characteristic, complemented
22#74817C211yesmaximal, characteristic, complemented
23#74709C211yesmaximal, characteristic, complemented
24#74704C211yesmaximal, characteristic, complemented
25#74659C211yesmaximal, characteristic, complemented
26#74453C211yesmaximal, characteristic, complemented
27#74442C211yesmaximal, characteristic, complemented
28#74049C211yesmaximal, characteristic, complemented
29#73902C211yesmaximal, characteristic, complemented
30#73831C211yesmaximal, characteristic, complemented
31#73823C211yesmaximal, characteristic, complemented
32#37712—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×#120C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×D4×Dic3C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic
46C2×D4×Dic3C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×C4⋊Dic3C2211yescharacteristic
50C22×C4⋊Dic3C2211yescharacteristic, complemented
51C2×#924C2211yescharacteristic
52C22×Dic3⋊C4C2211yescharacteristic
53#5665—28no—
54C2×#898C2211yescharacteristic, complemented
55C2×#897C2211yescharacteristic, complemented
56C2×#897C2211yescharacteristic, complemented
57C2×#890C2211yescharacteristic, complemented
58C2×#889C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#886C2211yescharacteristic
61C2×#883—28no—
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#879C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C3×#399C2211yescharacteristic, complemented
76C3×#397C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic
84C3×#380C2211yescharacteristic
85C3×#379C2211yescharacteristic
86#5247C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5221C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic, complemented
92#5220C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5212C2211yescharacteristic
95#5212C2211yescharacteristic, complemented
96#5210C2211yescharacteristic
97#5210C2211yescharacteristic
98#4994C2211yescharacteristic, complemented
99#4993C2211yescharacteristic, complemented
100#4992C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4990C2211yescharacteristic, complemented
103#4987C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4986C2211yescharacteristic, complemented
106#4985C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4984C2211yescharacteristic, complemented
109#4984C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4981C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4956C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4953C2211yescharacteristic, complemented
131#4952C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4950C2211yescharacteristic
137#4950C2211yescharacteristic
138#4950C2211yescharacteristic
139#4950C2211yescharacteristic
140#4950C2211yescharacteristic, complemented
141#4950C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4946C2211yescharacteristic
152#4946C2211yescharacteristic, complemented
153#4946C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4942C2211yescharacteristic
157#4942C2211yescharacteristic
158#4942C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic
160Dic3×C22⋊C4C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic, complemented
162#4940C2211yescharacteristic, complemented
163#4940C2211yescharacteristic, complemented
164#4935C2211yescharacteristic, complemented
165C4×C4⋊Dic3C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4661C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×#123—31no—
192#2848—31no—
193#2724—31no—
194#2718—31no—
195#2708—31no—
196#2706—31no—
197#2694—31no—
198#2693—31no—
199#2681—31no—
200#2680—31no—
201#2663—31no—
202#2630—31no—
203#2558—31no—
204#2553—31no—
205#2480—31no—
206#2480—31no—
207#2473—31no—
208#2455—31no—
209#2449—31no—
210#2443—31no—
211#2442—31no—
212#2437—31no—
213#2418—31no—
214#2418D311yescharacteristic, complemented
215#2408—31no—
216#2405—31no—
217#2358—31no—
218D4×C4⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67—24no—
230C22×#67—42no—
231C22×#67—42no—
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C22×C4×D3—24no—
246C22×C4×D3—42no—
247C22×C4×D3—42no—
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—24no—
254C3×#120—24no—
255C3×C4×D4—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4—24no—
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217—24no—
280C2×#217—42no—
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299#939—24no—
300#939—42no—
301#937—24no—
302D4×Dic3—24no—
303D4×Dic3—42no—
304D4×Dic3—42no—
305#929—24no—
306C2×(C2×D3)⋊C4—24no—
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⋊Dic3—24no—
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344#924—42no—
345C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#898—24no—
369#897—24no—
370#897—42no—
371#890—24no—
372#889—24no—
373#886—24no—
374#886—42no—
375#883—24no—
376#883—24no—
377#883—24no—
378#883—24no—
379#883—24no—
380#883—24no—
381#883—24no—
382#883D418yescomplemented
383#67⋊C4—24no—
384#67⋊C4—42no—
385#879—24no—
386#878—24no—
387#878—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
420C23×D4—31no—
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×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—68no—
439C2×#123C2×D311yescharacteristic, complemented
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120C2×D311yescharacteristic
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4C2×D311yescharacteristic
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⋊C4C2×D311yescharacteristic
462#400—31no—
463#400—31no—
464#400—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#399C2×D311yescharacteristic, complemented
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397C2×D311yescharacteristic, complemented
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394C2×D311yescharacteristic, complemented
498#394C2×D311yescharacteristic, complemented
499#393—31no—
500#392—31no—
501#392—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#388—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#388—31no—
521#388C2×D311yescharacteristic, complemented
522#388C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
535#386C2×D311yescharacteristic, complemented
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—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#385C2×D311yescharacteristic
556#384—31no—
557#382—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380C2×D311yescharacteristic
566#379—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570#379C2×D311yescharacteristic
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—41no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4#4114yes—
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—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
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
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—416no—
644C2×#67C2×D414yes—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
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×C4×D3C2×D414yes—
693C2×Dic6—22no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
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—22no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4C2×D414yes—
717C3×C42—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—41no—
728#217—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217C2×D414yes—
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—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770C4⋊Dic3C2×D414yes—
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⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4C2×D414yes—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C25—31no—
794C25C22×D311yescharacteristic
795C22×Q8—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—64no—
803C22×D4—122no—
804C22×D4—122no—
805C22×D4C22×D311yescharacteristic
806C22×D4C22×D311yescharacteristic
807C22×D4C22×D311yescharacteristic
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
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—64no—
820C23×C4—122no—
821C23×C4—122no—
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825#126—64no—
826#126—64no—
827#125—64no—
828#125—64no—
829#123—24no—
830#123—38no—
831#123—64no—
832#123—64no—
833#123—64no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840#123—122no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—122no—
845C22⋊Q8—122no—
846#121—64no—
847#121—122no—
848#120—24no—
849#120—64no—
850C4×D4—24no—
851C4×D4—64no—
852C4×D4—64no—
853C4×D4—122no—
854C4×D4—122no—
855C4×D4—122no—
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—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—64no—
890C2×C4⋊C4—64no—
891C2×C4⋊C4—64no—
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C22⋊C4—24no—
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—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—64no—
935C2×C22⋊C4—64no—
936C2×C22⋊C4—122no—
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
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×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
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#95—31no—
985#95—31no—
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×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—44no—
1016C23×C3—44no—
1017C23×C3—44no—
1018C23×C3—44no—
1019C23×C3—82no—
1020C23×C3—82no—
1021C23×C3—82no—
1022C23×C3C22×D412yes—
1023C23×C3C2×#4112yes—
1024C23×C3C2×#4112yes—
1025C23×C3H(5,𝔽2)12yes—
1026C23×C32−1+412yes—
1027C23×C3C2511yescharacteristic
1028C22×D3—28no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—44no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3C22×D412yes—
1048C22×D3H(5,𝔽2)12yes—
1049C3×D4—28no—
1050C3×D4—44no—
1051C3×D4—82no—
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—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—44no—
1083C2×C3×C4—44no—
1084C2×C3×C4—44no—
1085C2×C3×C4C22×D412yes—
1086C2×C3×C4C22×D412yes—
1087C2×C3×C4C2×#4112yes—
1088#67—44no—
1089#67—44no—
1090#67—44no—
1091#67—44no—
1092#67—44no—
1093#67—44no—
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—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—44no—
1134C2×Dic3—44no—
1135C2×Dic3—44no—
1136C2×Dic3—82no—
1137C2×Dic3—82no—
1138C2×Dic3—82no—
1139C2×Dic3—82no—
1140C2×Dic3C22×D412yes—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C22×D412yes—
1143C4×D3—44no—
1144C4×D3—44no—
1145C4×D3—44no—
1146C4×D3—44no—
1147Dic6—82no—
1148C24—22no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—31no—
1153C24—31no—
1154C24—41no—
1155C24—41no—
1156C24—41no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—62no—
1161C24—62no—
1162C24—121no—
1163C24—121no—
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168C2×Q8—62no—
1169C2×Q8—121no—
1170C2×Q8—121no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—34no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
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—1216no—
1198C2×D4#23714yes—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
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—41no—
1221C22×C4—41no—
1222C22×C4—41no—
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—62no—
1236C22×C4—62no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—1216no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
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
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—34no—
1271C4⋊C4—34no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
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—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—34no—
1317C22⋊C4—34no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
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—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—121no—
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⋊C4D3×D414yes—
1357C42—22no—
1358C42—62no—
1359C42—62no—
1360C42—121no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C22×C3—22no—
1365C22×C3—22no—
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—41no—
1377C22×C3—41no—
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—88no—
1392C22×C3#53914yescomplemented
1393C22×C3C23×D411yescharacteristic
1394C22×C3C22×#4111yescharacteristic
1395C22×C3C2×H(5,𝔽2)11yescharacteristic
1396C22×C3C2×H(5,𝔽2)11yescharacteristic
1397C22×C3C2×2−1+411yescharacteristic
1398C22×C3#58511yescharacteristic
1399C22×C3#58511yescharacteristic
1400C2×D3—22no—
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—416no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C3×C4—22no—
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—22no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440C23—21no—
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—32no—
1464C23—32no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—68no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—82no—
1483C23—82no—
1484C23—82no—
1485C23—124no—
1486C23—124no—
1487C23—124no—
1488C23—124no—
1489C23—124no—
1490C23—124no—
1491C23C2×D3×D412yes—
1492C23C2×#23712yes—
1493C23C2×#23712yes—
1494C23#100912yes—
1495C23#101012yes—
1496C23C24×D311yescharacteristic
1497Q8—242no—
1498D4—28no—
1499D4—44no—
1500D4—82no—
1501D4—124no—
1502D4—124no—
1503D4—124no—
1504D4—124no—
1505D4—124no—
1506D4—124no—
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—21no—
1536C2×C4—21no—
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—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—124no—
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×C4—242no—
1593C2×C4C2×D3×D412yes—
1594C2×C4C2×D3×D412yes—
1595C2×C4C2×#23712yes—
1596C2×C3—24no—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3—81no—
1600C2×C3C2×#53911yescharacteristic
1601C2×C3D4×#4111yescharacteristic
1602C2×C3#348411yescharacteristic
1603C2×C3#348911yescharacteristic
1604C2×C3#351311yescharacteristic
1605C2×C3#353311yescharacteristic
1606C2×C3#353511yescharacteristic
1607D3—42no—
1608D3—42no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—41no—
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—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—88no—
1643C22—1216no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22#566514yescomplemented
1653C22C22×D3×D411yescharacteristic
1654C22C22×#23711yescharacteristic
1655C22C2×#100911yescharacteristic
1656C22C2×#101011yescharacteristic
1657C22#596411yescharacteristic
1658C22D3×H(5,𝔽2)11yescharacteristic
1659C22#596611yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—62no—
1672C4—62no—
1673C4—62no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C3#3771211yescharacteristic, complemented, Sylow
1686C2—24no—
1687C2—42no—
1688C2—42no—
1689C2—81no—
1690C2—122no—
1691C2—122no—
1692C2C2×#566511yescharacteristic
1693C2#8604211yescharacteristic
1694C2#8642211yescharacteristic
1695C2D4×#23711yescharacteristic
1696C2#8663611yescharacteristic
1697C2#8666211yescharacteristic
1698C2#8681911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2418C2
prime radical#82582C2
hypercenter#2418D3
hypocenterC3#37712
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#5665C2semidirect
2. C22×#883C2semidirect
3. C3×#2418C2semidirect
4. #82875C2semidirect
6. #82579C2semidirect
7. #82404C2semidirect
8. D4×C4⋊Dic3C2semidirect
9. #82110C2semidirect
10. #78063C2semidirect
11. #78058C2semidirect
12. #77595C2semidirect
13. #77515C2semidirect
14. #77150C2semidirect
15. #77139C2semidirect
16. #76974C2semidirect
17. #76908C2semidirect
18. #75931C2semidirect
19. #75668C2semidirect
20. #75601C2semidirect
21. #75470C2semidirect
22. #74817C2semidirect
23. #74709C2semidirect
24. #74704C2semidirect
25. #74659C2semidirect
26. #74453C2semidirect
27. #74442C2semidirect
28. #74049C2semidirect
29. #73902C2semidirect
30. #73831C2semidirect
31. #73823C2semidirect
35. C2×C3×#123C22semidirect
46. C2×D4×Dic3C22semidirect
47. C2×#929C22semidirect
50. C22×C4⋊Dic3C22semidirect
54. C2×#898C22semidirect
55. C2×#897C22semidirect
56. C2×#897C22semidirect
57. C2×#890C22semidirect
58. C2×#889C22semidirect
70. C2×#67⋊C4C22semidirect
71. C2×#67⋊C4C22semidirect
72. C2×#879C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
75. C3×#399C22semidirect
76. C3×#397C22semidirect
77. C3×#394C22semidirect
78. C3×#394C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
82. C3×#386C22semidirect
89. #5221C22semidirect
91. #5220C22semidirect
92. #5220C22semidirect
93. #5213C22semidirect
95. #5212C22semidirect
98. #4994C22semidirect
99. #4993C22semidirect
100. #4992C22semidirect
101. #4992C22semidirect
102. #4990C22semidirect
103. #4987C22semidirect
104. #4987C22semidirect
105. #4986C22semidirect
106. #4985C22semidirect
107. #4984C22semidirect
108. #4984C22semidirect
109. #4984C22semidirect
110. #4982C22semidirect
111. #4981C22semidirect
112. #4976C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
125. #4956C22semidirect
126. #4956C22semidirect
130. #4953C22semidirect
131. #4952C22semidirect
132. #4952C22semidirect
133. #4951C22semidirect
134. #4951C22semidirect
135. #4951C22semidirect
140. #4950C22semidirect
141. #4950C22semidirect
142. #4950C22semidirect
143. #4950C22semidirect
144. #4949C22semidirect
145. #4949C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4947C22semidirect
152. #4946C22semidirect
153. #4946C22semidirect
154. #4945C22semidirect
155. #4944C22semidirect
158. #4942C22semidirect
161. Dic3×C22⋊C4C22semidirect
162. #4940C22semidirect
163. #4940C22semidirect
164. #4935C22semidirect
165. C4×C4⋊Dic3C22semidirect
166. #4675C22semidirect
167. #4674C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4666C22semidirect
177. #4666C22semidirect
178. #4661C22semidirect
179. #4661C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4654C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
214. #2418D3semidirect
382. #883D4semidirect
439. C2×#123C2×D3semidirect
468. #399C2×D3semidirect
482. #397C2×D3semidirect
497. #394C2×D3semidirect
498. #394C2×D3semidirect
521. #388C2×D3semidirect
522. #388C2×D3semidirect
535. #386C2×D3semidirect
1392. C22×C3#539semidirect
1652. C22#5665semidirect
1685. C3#37712semidirect

Maximal subgroups

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

subgroupindex
C2×#56652
C22×#8832
C3×#24182
#828752
#825822
#825792
#824042
D4×C4⋊Dic32
#821102
#780632
#780582
#775952
#775152
#771502
#771392
#769742
#769082
#759312
#756682
#756012
#754702
#748172
#747092
#747042
#746592
#744532
#744422
#740492
#739022
#738312
#738232
#377123