Finite Group Databasebeta

← #11633316

Subgroups — #11633316

Order 768.

3066 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#939C211yesmaximal, characteristic, complemented
2C2×#5601C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic, complemented
4D4×#217C211yesmaximal, characteristic, complemented
5#82671C211yesmaximal, characteristic, complemented
6#82670C211yesmaximal, characteristic, complemented
7#82642C211yesmaximal, characteristic, complemented
8#82606C211yesmaximal, characteristic, complemented
9#82584C211yesmaximal, characteristic, complemented
10#82582C211yesmaximal, characteristic, complemented
11Dic3×#120C211yesmaximal, characteristic, complemented
12C22⋊C4×#67C211yesmaximal, characteristic, complemented
13C2×#4942C211yesmaximal, characteristic, complemented
14#77013C211yesmaximal, characteristic, complemented
15#77012C211yesmaximal, characteristic, complemented
16#76934C211yesmaximal, characteristic, complemented
17#76899C211yesmaximal, characteristic, complemented
18#76722C211yesmaximal, characteristic, complemented
19#76721C211yesmaximal, characteristic, complemented
20#76686C211yesmaximal, characteristic, complemented
21#76670C211yesmaximal, characteristic, complemented
22#74890C211yesmaximal, characteristic, complemented
23#74742C211yesmaximal, characteristic, complemented
24#74706C211yesmaximal, characteristic, complemented
25#74705C211yesmaximal, characteristic, complemented
26#74676C211yesmaximal, characteristic, complemented
27#74673C211yesmaximal, characteristic, complemented
28#74452C211yesmaximal, characteristic, complemented
29#74417C211yesmaximal, characteristic, complemented
30#73850C211yesmaximal, characteristic, complemented
31#73830C211yesmaximal, characteristic, complemented
32#59013—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C24×Dic3C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C22×C3×C22⋊C4C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#939—28no—
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic, complemented
58C2×#937C2211yescharacteristic
59C2×#935C2211yescharacteristic, complemented
60C2×D4×Dic3C2211yescharacteristic
61C2×D4×Dic3C2211yescharacteristic, complemented
62C2×D4×Dic3C2211yescharacteristic, complemented
63C2×D4×Dic3C2211yescharacteristic, complemented
64C2×D4×Dic3C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic, complemented
67C22×(C2×D3)⋊C4C2211yescharacteristic
68C22×Dic3⋊C4C2211yescharacteristic
69C22×Dic3⋊C4C2211yescharacteristic, complemented
70C22×Dic3⋊C4C2211yescharacteristic, complemented
71#5601—28no—
72C2×#898C2211yescharacteristic, complemented
73C2×#889C2211yescharacteristic, complemented
74C2×#883C2211yescharacteristic, complemented
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×#879C2211yescharacteristic, complemented
79C2×#877C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic
88C3×#379C2211yescharacteristic
89#5247C2211yescharacteristic
90#5247C2211yescharacteristic
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5221C2211yescharacteristic, complemented
98#5221C2211yescharacteristic, complemented
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5213C2211yescharacteristic, complemented
109#5213C2211yescharacteristic, complemented
110#5212C2211yescharacteristic
111C4×#217C2211yescharacteristic
112C2×C3⋊#95C2211yescharacteristic, complemented
113C2×C3⋊#95C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4992C2211yescharacteristic, complemented
116#4990C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic, complemented
127#4958C2211yescharacteristic, complemented
128#4958C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4953C2211yescharacteristic, complemented
144#4952C2211yescharacteristic, complemented
145#4952C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4950C2211yescharacteristic
150#4950C2211yescharacteristic, complemented
151#4950C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4946C2211yescharacteristic
154#4946C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4944C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4943C2211yescharacteristic, complemented
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic
162#4942C2211yescharacteristic
163#4942C2211yescharacteristic
164#4942C2211yescharacteristic
165#4942C2211yescharacteristic, complemented
166#4942C2211yescharacteristic, complemented
167#4942C2211yescharacteristic, complemented
168#4942C2211yescharacteristic, complemented
169#4942C2211yescharacteristic, complemented
170Dic3×C22⋊C4C2211yescharacteristic
171Dic3×C22⋊C4C2211yescharacteristic
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4674C2211yescharacteristic, complemented
177#4674C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#553—31no—
191C22×#121—31no—
192#2703—31no—
193#2703—31no—
194#2691—31no—
195#2691—31no—
196#2543—31no—
197#2543—31no—
198#2535—31no—
199#2504—31no—
200#2490—31no—
201#2480—31no—
202#2480—31no—
203#2444—31no—
204#2444—31no—
205#2442—31no—
206#2420—31no—
207#2416—31no—
208#2414—31no—
209#2412—31no—
210#2412—31no—
211#2410—31no—
212#2410D311yescharacteristic, complemented
213#2408—31no—
214#2361—31no—
215#2352—31no—
216D4×C22⋊C4—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219C4×#120—31no—
220C2×#380—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—24no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C22×#67—24no—
240C22×#67—24no—
241C22×#67—24no—
242C22×#67—24no—
243C22×#67—42no—
244C22×#67—42no—
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C23×Dic3—24no—
256C23×Dic3—24no—
257C23×Dic3—42no—
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C23×Dic3C2311yescharacteristic
267C23×Dic3C2311yescharacteristic
268C23×Dic3C2311yescharacteristic
269C23×Dic3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C3×#121—24no—
273C3×#121—42no—
274C3×#120—24no—
275C3×#120—42no—
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4—42no—
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×#217—24no—
295C2×#217—42no—
296C2×#217—42no—
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322#939—24no—
323#939—24no—
324#939—24no—
325#939—24no—
326#939—24no—
327#939—24no—
328#939—24no—
329#939—24no—
330#939—24no—
331#939—42no—
332#939—42no—
333#939D418yescomplemented
334#937—42no—
335#935—24no—
336D4×Dic3—24no—
337D4×Dic3—24no—
338D4×Dic3—24no—
339D4×Dic3—42no—
340D4×Dic3—42no—
341C4×#67—24no—
342C4×#67—42no—
343C2×(C2×D3)⋊C4—24no—
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×Dic3⋊C4—24no—
366C2×Dic3⋊C4—24no—
367C2×Dic3⋊C4—42no—
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391#898—24no—
392#889—24no—
393#883—24no—
394#67⋊C4—24no—
395#67⋊C4—42no—
396D3×C22⋊C4—42no—
397#879—24no—
398#877—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C23×D4—31no—
430C23×D4—31no—
431C23×D4C2×D311yescharacteristic
432C24×C4—31no—
433#553—68no—
434C2×#126—31no—
435C2×#126—31no—
436C2×#125—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—68no—
452C2×#121C2×D311yescharacteristic, complemented
453C2×#121C2×D311yescharacteristic, complemented
454C2×#120—31no—
455C2×#120C2×D311yescharacteristic
456C2×#120C2×D311yescharacteristic
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×#117—31no—
467C22×C4⋊C4—31no—
468C22×C4⋊C4—31no—
469C22×C4⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4C2×D311yescharacteristic
476#400—31no—
477#400—31no—
478#398—31no—
479#398—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#396—31no—
491#396—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394C2×D311yescharacteristic, complemented
501#394C2×D311yescharacteristic, complemented
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392C2×D311yescharacteristic, complemented
507#392C2×D311yescharacteristic, complemented
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#389—31no—
517#389—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#387—31no—
527#387—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#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386C2×D311yescharacteristic
549#386C2×D311yescharacteristic, complemented
550#386C2×D311yescharacteristic, complemented
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385C2×D311yescharacteristic
558#382—31no—
559#382—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379C2×D311yescharacteristic
578C4×C4⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C2×#95—31no—
585C2×#95—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3#4114yes—
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—416no—
642C2×C3×D4C2×D414yes—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—22no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—416no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—416no—
691C2×#67C2×D414yes—
692C2×#67C2×D414yes—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—22no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—22no—
706C22×Dic3—22no—
707C22×Dic3—22no—
708C22×Dic3—22no—
709C22×Dic3—22no—
710C22×Dic3—22no—
711C22×Dic3—22no—
712C22×Dic3—22no—
713C22×Dic3—22no—
714C22×Dic3—41no—
715C22×Dic3—41no—
716C22×Dic3—41no—
717C22×Dic3—41no—
718C22×Dic3—416no—
719C22×Dic3—41no—
720C22×Dic3—41no—
721C22×Dic3—41no—
722C22×Dic3—41no—
723C22×Dic3—41no—
724C22×Dic3—41no—
725C22×Dic3—41no—
726C22×Dic3—41no—
727C22×Dic3—41no—
728C22×Dic3C2×D414yes—
729C22×Dic3#4114yes—
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C2×C4×D3—22no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—41no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C22⋊C4—41no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767#217—22no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217C2×D414yes—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4C2×D414yes—
808C4⋊Dic3—22no—
809C4⋊Dic3—22no—
810C4⋊Dic3—22no—
811C4⋊Dic3—41no—
812C4⋊Dic3—41no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—41no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827Dic3⋊C4—41no—
828Dic3⋊C4C2×D414yes—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—22no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C25—31no—
837C25C22×D311yescharacteristic
838C25C22×D311yescharacteristic
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—42no—
852C22×D4—64no—
853C22×D4—64no—
854C22×D4—64no—
855C22×D4—64no—
856C22×D4—122no—
857C22×D4—122no—
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C22×D4C22×D311yescharacteristic
862C22×D4C22×D311yescharacteristic
863C22×D4C22×D311yescharacteristic
864C22×D4C22×D311yescharacteristic
865C22×D4C22×D311yescharacteristic
866C22×D4C22×D311yescharacteristic
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—31no—
881C23×C4—64no—
882C23×C4—64no—
883C23×C4—122no—
884C23×C4C22×D311yescharacteristic
885C23×C4C22×D311yescharacteristic
886C23×C4C22×D311yescharacteristic
887#126—64no—
888#126—64no—
889#125—64no—
890#123—64no—
891#123—64no—
892#121—24no—
893#121—38no—
894#121—42no—
895#121—64no—
896#121—64no—
897#121—64no—
898#121—64no—
899#121—64no—
900#121—64no—
901#121—64no—
902#121—64no—
903#121—64no—
904#121—122no—
905#121—122no—
906#120—24no—
907#120—42no—
908#120—122no—
909C4×D4—64no—
910C4×D4—64no—
911C4×D4—64no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—122no—
915C4×D4—122no—
916C4×D4—122no—
917C4×D4—122no—
918#117—64no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—64no—
941C2×C4⋊C4—64no—
942C2×C4⋊C4—122no—
943C2×C4⋊C4C22×D311yescharacteristic
944C2×C4⋊C4C22×D311yescharacteristic
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—42no—
987C2×C22⋊C4—64no—
988C2×C22⋊C4—64no—
989C2×C22⋊C4—122no—
990C2×C22⋊C4—122no—
991C2×C22⋊C4—122no—
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—28no—
1053C23×C3—28no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—44no—
1081C23×C3—44no—
1082C23×C3—44no—
1083C23×C3—44no—
1084C23×C3—44no—
1085C23×C3—44no—
1086C23×C3—44no—
1087C23×C3—44no—
1088C23×C3—44no—
1089C23×C3—82no—
1090C23×C3—82no—
1091C23×C3—82no—
1092C23×C3C22×D412yes—
1093C23×C3C22×D412yes—
1094C23×C3C2×#4112yes—
1095C23×C3C2×#4112yes—
1096C23×C3C2×#4112yes—
1097C23×C3C2×#4112yes—
1098C23×C3H(5,𝔽2)12yes—
1099C23×C3H(5,𝔽2)12yes—
1100C23×C3C2511yescharacteristic
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—44no—
1115C22×D3—44no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—82no—
1119C22×D3—82no—
1120C22×D3—82no—
1121C22×D3C22×D412yes—
1122C3×D4—28no—
1123C3×D4—44no—
1124C3×D4—44no—
1125C3×D4—44no—
1126C3×D4—44no—
1127C3×D4—44no—
1128C3×D4—44no—
1129C3×D4—82no—
1130C3×D4—82no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—44no—
1158C2×C3×C4—82no—
1159C2×C3×C4—82no—
1160C2×C3×C4C22×D412yes—
1161#67—28no—
1162#67—28no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—44no—
1169#67—82no—
1170#67—82no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—28no—
1178C2×Dic3—28no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—44no—
1210C2×Dic3—44no—
1211C2×Dic3—44no—
1212C2×Dic3—44no—
1213C2×Dic3—44no—
1214C2×Dic3—44no—
1215C2×Dic3—82no—
1216C2×Dic3—82no—
1217C2×Dic3—82no—
1218C2×Dic3—82no—
1219C2×Dic3C22×D412yes—
1220C2×Dic3C22×D412yes—
1221C2×Dic3C22×D412yes—
1222C2×Dic3C2×#4112yes—
1223C2×Dic3C2×#4112yes—
1224C2×Dic3H(5,𝔽2)12yes—
1225C4×D3—82no—
1226C4×D3—82no—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—22no—
1235C24—31no—
1236C24—31no—
1237C24—41no—
1238C24—41no—
1239C24—41no—
1240C24—41no—
1241C24—41no—
1242C24—62no—
1243C24—62no—
1244C24—62no—
1245C24—62no—
1246C24—121no—
1247C24—121no—
1248C24—121no—
1249C24#23714yes—
1250C24C23×D311yescharacteristic
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254C24C23×D311yescharacteristic
1255C24C23×D311yescharacteristic
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—34no—
1274C2×D4—34no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—416no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—1216no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—1216no—
1315C2×D4D3×D414yes—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—31no—
1321C22×C4—34no—
1322C22×C4—34no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—62no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—1216no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4—121no—
1376C22×C4—121no—
1377C22×C4—121no—
1378C22×C4—121no—
1379C22×C4—121no—
1380C22×C4—121no—
1381C22×C4—121no—
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C22×C4C23×D311yescharacteristic
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C22×C4C23×D311yescharacteristic
1390C22×C4C23×D311yescharacteristic
1391C4⋊C4—22no—
1392C4⋊C4—34no—
1393C4⋊C4—41no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—62no—
1403C4⋊C4—62no—
1404C4⋊C4—62no—
1405C4⋊C4—62no—
1406C4⋊C4—62no—
1407C4⋊C4—62no—
1408C4⋊C4—121no—
1409C4⋊C4—121no—
1410C4⋊C4—121no—
1411C4⋊C4—121no—
1412C4⋊C4—121no—
1413C4⋊C4—121no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—34no—
1422C22⋊C4—34no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C42—62no—
1471C42—62no—
1472C42—62no—
1473C42—62no—
1474C42—62no—
1475C42—121no—
1476C42—121no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—22no—
1482C22×C3—22no—
1483C22×C3—22no—
1484C22×C3—22no—
1485C22×C3—22no—
1486C22×C3—22no—
1487C22×C3—22no—
1488C22×C3—22no—
1489C22×C3—22no—
1490C22×C3—22no—
1491C22×C3—22no—
1492C22×C3—22no—
1493C22×C3—22no—
1494C22×C3—22no—
1495C22×C3—416no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—88no—
1519C22×C3#54614yes—
1520C22×C3#55314yescomplemented
1521C22×C3C23×D411yescharacteristic
1522C22×C3C22×#4111yescharacteristic
1523C22×C3C22×#4111yescharacteristic
1524C22×C3C2×H(5,𝔽2)11yescharacteristic
1525C22×C3C2×H(5,𝔽2)11yescharacteristic
1526C22×C3C2×H(5,𝔽2)11yescharacteristic
1527C22×C3#58511yescharacteristic
1528C2×D3—22no—
1529C2×D3—22no—
1530C2×D3—22no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—88no—
1543C3×C4—22no—
1544C3×C4—41no—
1545C3×C4—41no—
1546C3×C4—41no—
1547C3×C4—41no—
1548C3×C4—41no—
1549C3×C4—41no—
1550C3×C4—41no—
1551C3×C4—41no—
1552Dic3—22no—
1553Dic3—22no—
1554Dic3—22no—
1555Dic3—41no—
1556Dic3—41no—
1557Dic3—41no—
1558Dic3—41no—
1559Dic3—41no—
1560Dic3—41no—
1561Dic3—41no—
1562Dic3—41no—
1563Dic3—41no—
1564Dic3—41no—
1565Dic3#54614yes—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—28no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—32no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—82no—
1626C23—82no—
1627C23—82no—
1628C23—124no—
1629C23—124no—
1630C23—124no—
1631C23—124no—
1632C23—242no—
1633C23—242no—
1634C23—242no—
1635C23C2×D3×D412yes—
1636C23C2×D3×D412yes—
1637C23C2×#23712yes—
1638C23C2×#23712yes—
1639C23C2×#23712yes—
1640C23#100412yes—
1641C23#100412yes—
1642C23D3×#4112yes—
1643C23C24×D311yescharacteristic
1644D4—28no—
1645D4—44no—
1646D4—44no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—68no—
1652D4—68no—
1653D4—82no—
1654D4—82no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
1658D4—124no—
1659D4—124no—
1660D4—124no—
1661D4—242no—
1662D4—242no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—32no—
1690C2×C4—32no—
1691C2×C4—32no—
1692C2×C4—32no—
1693C2×C4—32no—
1694C2×C4—32no—
1695C2×C4—44no—
1696C2×C4—68no—
1697C2×C4—68no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—82no—
1735C2×C4—82no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—124no—
1739C2×C4—124no—
1740C2×C4—124no—
1741C2×C4—124no—
1742C2×C4—242no—
1743C2×C4—242no—
1744C2×C4—242no—
1745C2×C4—242no—
1746C2×C4—242no—
1747C2×C4—242no—
1748C2×C4C2×D3×D412yes—
1749C2×C3—24no—
1750C2×C3—24no—
1751C2×C3—42no—
1752C2×C3—42no—
1753C2×C3—81no—
1754C2×C3—81no—
1755C2×C3C2×#54611yescharacteristic
1756C2×C3C2×#54611yescharacteristic
1757C2×C3C2×#55311yescharacteristic
1758C2×C3#348811yescharacteristic
1759C2×C3#349411yescharacteristic
1760C2×C3#350511yescharacteristic
1761C2×C3#353711yescharacteristic
1762D3—42no—
1763D3—81no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—62no—
1806C22—62no—
1807C22—62no—
1808C22—88no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—121no—
1818C22—121no—
1819C22—121no—
1820C22—248no—
1821C22#559114yes—
1822C22#560114yescomplemented
1823C22C22×D3×D411yescharacteristic
1824C22C22×#23711yescharacteristic
1825C22C2×#100411yescharacteristic
1826C22C2×#100411yescharacteristic
1827C22C2×D3×#4111yescharacteristic
1828C22D3×H(5,𝔽2)11yescharacteristic
1829C22#596611yescharacteristic
1830C4—22no—
1831C4—34no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—62no—
1841C4—62no—
1842C4—62no—
1843C4—121no—
1844C4—121no—
1845C4—121no—
1846C4—121no—
1847C4—121no—
1848C4—121no—
1849C4—121no—
1850C4—121no—
1851C4—121no—
1852C4—121no—
1853C3#5901311yescharacteristic, complemented, Sylow
1854C2—24no—
1855C2—24no—
1856C2—42no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—122no—
1861C2—241no—
1862C2C2×#559111yescharacteristic
1863C2C2×#560111yescharacteristic
1864C2#8629911yescharacteristic
1865C2#8660711yescharacteristic
1866C2#8661411yescharacteristic
1867C2#8663111yescharacteristic
1868C2D3×#54611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2410C2
hypercenter#2410D3
hypocenterC3#59013
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C22×#939C2semidirect
2. C2×#5601C2semidirect
3. C3×#2410C2semidirect
4. D4×#217C2semidirect
5. #82671C2semidirect
6. #82670C2semidirect
7. #82642C2semidirect
8. #82606C2semidirect
9. #82584C2semidirect
10. #82582C2semidirect
11. Dic3×#120C2semidirect
12. C22⋊C4×#67C2semidirect
13. C2×#4942C2semidirect
14. #77013C2semidirect
15. #77012C2semidirect
16. #76934C2semidirect
17. #76899C2semidirect
18. #76722C2semidirect
19. #76721C2semidirect
20. #76686C2semidirect
21. #76670C2semidirect
22. #74890C2semidirect
23. #74742C2semidirect
24. #74706C2semidirect
25. #74705C2semidirect
26. #74676C2semidirect
27. #74673C2semidirect
28. #74452C2semidirect
29. #74417C2semidirect
30. #73850C2semidirect
31. #73830C2semidirect
37. C2×C3×#121C22semidirect
38. C2×C3×#121C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
57. C2×#939C22semidirect
59. C2×#935C22semidirect
61. C2×D4×Dic3C22semidirect
62. C2×D4×Dic3C22semidirect
63. C2×D4×Dic3C22semidirect
64. C2×D4×Dic3C22semidirect
65. C2×C4×#67C22semidirect
66. C2×C4×#67C22semidirect
69. C22×Dic3⋊C4C22semidirect
70. C22×Dic3⋊C4C22semidirect
72. C2×#898C22semidirect
73. C2×#889C22semidirect
74. C2×#883C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×#67⋊C4C22semidirect
78. C2×#879C22semidirect
79. C2×#877C22semidirect
80. C3×#394C22semidirect
81. C3×#394C22semidirect
82. C3×#392C22semidirect
83. C3×#392C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
97. #5221C22semidirect
98. #5221C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5213C22semidirect
109. #5213C22semidirect
112. C2×C3⋊#95C22semidirect
113. C2×C3⋊#95C22semidirect
114. #4994C22semidirect
115. #4992C22semidirect
116. #4990C22semidirect
117. #4983C22semidirect
118. #4982C22semidirect
119. #4976C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4958C22semidirect
127. #4958C22semidirect
128. #4958C22semidirect
129. #4958C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
143. #4953C22semidirect
144. #4952C22semidirect
145. #4952C22semidirect
146. #4952C22semidirect
147. #4952C22semidirect
148. #4951C22semidirect
150. #4950C22semidirect
151. #4950C22semidirect
152. #4948C22semidirect
154. #4946C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
157. #4944C22semidirect
158. #4944C22semidirect
159. #4943C22semidirect
165. #4942C22semidirect
166. #4942C22semidirect
167. #4942C22semidirect
168. #4942C22semidirect
169. #4942C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4675C22semidirect
175. #4675C22semidirect
176. #4674C22semidirect
177. #4674C22semidirect
178. #4670C22semidirect
179. #4669C22semidirect
180. #4668C22semidirect
181. #4664C22semidirect
182. #4659C22semidirect
183. #4658C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4650C22semidirect
187. #4650C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
212. #2410D3semidirect
333. #939D4semidirect
452. C2×#121C2×D3semidirect
453. C2×#121C2×D3semidirect
500. #394C2×D3semidirect
501. #394C2×D3semidirect
506. #392C2×D3semidirect
507. #392C2×D3semidirect
549. #386C2×D3semidirect
550. #386C2×D3semidirect
1520. C22×C3#553semidirect
1822. C22#5601semidirect
1853. C3#59013semidirect

Maximal subgroups

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

subgroupindex
C22×#9392
C2×#56012
C3×#24102
D4×#2172
#826712
#826702
#826422
#826062
#825842
#825822
Dic3×#1202
C22⋊C4×#672
C2×#49422
#770132
#770122
#769342
#768992
#767222
#767212
#766862
#766702
#748902
#747422
#747062
#747052
#746762
#746732
#744522
#744172
#738502
#738302
#590133