Finite Group Databasebeta

← #11028696

Subgroups — #11028696

Order 768.

2920 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5679C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3C3×#2555C211yesmaximal, characteristic, complemented
4#83004C211yesmaximal, characteristic, complemented
5#82975C211yesmaximal, characteristic, complemented
6#82960C211yesmaximal, characteristic, complemented
7#82702C211yesmaximal, characteristic, complemented
8#82681C211yesmaximal, characteristic, complemented
9#82673C211yesmaximal, characteristic, complemented
10#77259C211yesmaximal, characteristic, complemented
11#77257C211yesmaximal, characteristic, complemented
12#77106C211yesmaximal, characteristic, complemented
13#77012C211yesmaximal, characteristic, complemented
14#76760C211yesmaximal, characteristic, complemented
15#76721C211yesmaximal, characteristic, complemented
16#76710C211yesmaximal, characteristic, complemented
17#76669C211yesmaximal, characteristic, complemented
18#76447C211yesmaximal, characteristic, complemented
19#76437C211yesmaximal, characteristic, complemented
20#75866C211yesmaximal, characteristic, complemented
21#75862C211yesmaximal, characteristic, complemented
22#75828C211yesmaximal, characteristic, complemented
23#75683C211yesmaximal, characteristic, complemented
24#74936C211yesmaximal, characteristic, complemented
25#74874C211yesmaximal, characteristic, complemented
26#74801C211yesmaximal, characteristic, complemented
27#74719C211yesmaximal, characteristic, complemented
28#73604C211yesmaximal, characteristic, complemented
29#73595C211yesmaximal, characteristic, complemented
30#73574C211yesmaximal, characteristic, complemented
31#73561C211yesmaximal, characteristic, complemented
32#37840—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic, complemented
38C2×C3×#124C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic, complemented
41C2×#947C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic, complemented
47C2×#939C2211yescharacteristic, complemented
48C2×#939C2211yescharacteristic, complemented
49C2×#938C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#935C2211yescharacteristic, complemented
54C2×#930C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic
56#5679—28no—
57D3×#121—28no—
58C2×#895C2211yescharacteristic
59C2×#894C2211yescharacteristic, complemented
60C2×D3×C4⋊C4C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic, complemented
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic, complemented
73C2×#879C2211yescharacteristic, complemented
74C2×#872C2211yescharacteristic
75C2×#872C2211yescharacteristic
76C2×#872C2211yescharacteristic, complemented
77C3×#395C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic, complemented
79C3×#392C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic, complemented
88#5230C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5221C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5210C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104C4×#217C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4986C2211yescharacteristic, complemented
111#4983C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4960C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4952C2211yescharacteristic, complemented
145#4950C2211yescharacteristic, complemented
146#4950C2211yescharacteristic, complemented
147#4949C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4946C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156Dic3×C22⋊C4C2211yescharacteristic, complemented
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4939C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic
176#4667C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic
182#4664C2211yescharacteristic
183#4664C2211yescharacteristic
184#4664C2211yescharacteristic
185#4659C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4654C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#121—31no—
192#2849—31no—
193#2703—31no—
194#2703—31no—
195#2691—31no—
196#2691—31no—
197#2672—31no—
198#2672—31no—
199#2671—31no—
200#2671—31no—
201#2627—31no—
202#2613—31no—
203#2559—31no—
204#2559—31no—
205#2555—31no—
206#2555D311yescharacteristic, complemented
207#2482—31no—
208#2476—31no—
209#2476—31no—
210#2464—31no—
211#2464—31no—
212#2435—31no—
213#2411—31no—
214#2410—31no—
215#2408—31no—
216#2405—31no—
217#2342—31no—
218#2322—31no—
219#2308—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—24no—
249C2×D3×D4—24no—
250C2×D3×D4—42no—
251C2×D3×D4—42no—
252C2×D3×D4—42no—
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×C4×D3—24no—
259C22×C4×D3—24no—
260C22×C4×D3—42no—
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C3×#124—24no—
270C3×#124—42no—
271C3×#121—24no—
272C3×#121—42no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#947—42no—
310#946—24no—
311#946—24no—
312#939—24no—
313#939—24no—
314#939—42no—
315#939—42no—
316#939—42no—
317#938—24no—
318#937—24no—
319#937—42no—
320#937—42no—
321#935—24no—
322#930—24no—
323C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#895—24no—
380#894—42no—
381D3×C4⋊C4—24no—
382#884—24no—
383#884—24no—
384#883—24no—
385#883—24no—
386#883—24no—
387#883—42no—
388#67⋊C4—24no—
389#67⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4D418yescomplemented
393#879—24no—
394#879—24no—
395#872—24no—
396#872—24no—
397#872—42no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428C23×D4—31no—
429C24×C4—31no—
430#551—68no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#124—31no—
434C2×#124C2×D311yescharacteristic, complemented
435C2×#124C2×D311yescharacteristic, complemented
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—68no—
455C2×#121C2×D311yescharacteristic
456C2×#121C2×D311yescharacteristic, complemented
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×#117—31no—
463C2×#117—31no—
464C2×#117—31no—
465C22×C4⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470#400—31no—
471#400—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#395—31no—
483#395C2×D311yescharacteristic, complemented
484#394—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#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394C2×D311yescharacteristic, complemented
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392C2×D311yescharacteristic, complemented
509#392C2×D311yescharacteristic, complemented
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390C2×D311yescharacteristic, complemented
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#388—31no—
527#388—31no—
528#388C2×D311yescharacteristic, complemented
529#388C2×D311yescharacteristic, complemented
530#387—31no—
531#387—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#386C2×D311yescharacteristic, complemented
548#386C2×D311yescharacteristic, complemented
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570#379—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4C2×D311yescharacteristic, complemented
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3C2×D414yes—
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×Q8—22no—
613C2×C3×Q8—41no—
614C2×C3×Q8—41no—
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—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—41no—
684C22×Dic3—41no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3—41no—
688C22×Dic3—41no—
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701D3×D4—416no—
702D3×D4—416no—
703D3×D4—416no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—416no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3C2×D414yes—
736C2×C4×D3C2×D414yes—
737C2×C4×D3#4114yes—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4—41no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4C2×D414yes—
755C3×C42—22no—
756C3×C42—41no—
757C3×C42—41no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217C2×D414yes—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
803(C2×D3)⋊C4C2×D414yes—
804C4⋊Dic3—22no—
805C4⋊Dic3—22no—
806C4⋊Dic3—22no—
807C4⋊Dic3—22no—
808C4⋊Dic3—41no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4—41no—
823Dic3⋊C4—41no—
824Dic3⋊C4—41no—
825C4×Dic3—22no—
826C4×Dic3—22no—
827C4×Dic3—41no—
828C4×Dic3—41no—
829C25—31no—
830C25—31no—
831C25—31no—
832C22×Q8C22×D311yescharacteristic
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—64no—
847C22×D4—64no—
848C22×D4—64no—
849C22×D4—64no—
850C22×D4—122no—
851C22×D4—122no—
852C22×D4—122no—
853C22×D4—122no—
854C22×D4—122no—
855C22×D4C22×D311yescharacteristic
856C22×D4C22×D311yescharacteristic
857C22×D4C22×D311yescharacteristic
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—64no—
873C23×C4—64no—
874C23×C4—122no—
875C23×C4C22×D311yescharacteristic
876C23×C4C22×D311yescharacteristic
877#126—64no—
878#126—64no—
879#124—24no—
880#124—42no—
881#124—122no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886#123—122no—
887#123—122no—
888C22⋊Q8—64no—
889C22⋊Q8—64no—
890#121—24no—
891#121—42no—
892#121—64no—
893#121—64no—
894#121—64no—
895#121—64no—
896#121—64no—
897#121—64no—
898#121—64no—
899#121—122no—
900#121—122no—
901#121—122no—
902#120—64no—
903#120—122no—
904#120—122no—
905C4×D4—64no—
906C4×D4—64no—
907#117—64no—
908#117—64no—
909#117—122no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
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—64no—
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—38no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
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—64no—
983C2×C22⋊C4—64no—
984C2×C22⋊C4—122no—
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42C22×D311yescharacteristic
1004C2×C42C22×D311yescharacteristic
1005C2×C42C22×D311yescharacteristic
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—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#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033#95C22×D311yescharacteristic
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
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—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3C22×D412yes—
1061C23×C3H(5,𝔽2)12yes—
1062C23×C3C2511yescharacteristic
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—28no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—28no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3C22×D412yes—
1108C22×D3C22×D412yes—
1109C22×D3C2×#4112yes—
1110C22×D3H(5,𝔽2)12yes—
1111C22×D3H(5,𝔽2)12yes—
1112C3×Q8—82no—
1113C3×D4—44no—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—82no—
1117C3×D4—82no—
1118C3×D4—82no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
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—44no—
1150C2×C3×C4—82no—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C2×#4112yes—
1154#67—44no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—82no—
1163#67—82no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
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—44no—
1198C2×Dic3—82no—
1199C2×Dic3—82no—
1200C2×Dic3C22×D412yes—
1201C2×Dic3C22×D412yes—
1202C2×Dic3C2×#4112yes—
1203D12—44no—
1204D12—44no—
1205D12—44no—
1206C4×D3—28no—
1207C4×D3—28no—
1208C4×D3—44no—
1209C4×D3—44no—
1210C4×D3—44no—
1211C4×D3—44no—
1212C4×D3—44no—
1213C4×D3—82no—
1214C24—31no—
1215C24—31no—
1216C24—31no—
1217C24—34no—
1218C24—31no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C24C23×D311yescharacteristic
1243C2×Q8—22no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—1216no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—1216no—
1305C2×D4—1216no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—34no—
1312C22×C4—34no—
1313C22×C4—34no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
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—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×C4—121no—
1351C22×C4—1216no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C22×C4C23×D311yescharacteristic
1366C22×C4C23×D311yescharacteristic
1367C22×C4C23×D311yescharacteristic
1368C22×C4C23×D311yescharacteristic
1369C4⋊C4—22no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—62no—
1382C4⋊C4—62no—
1383C4⋊C4—62no—
1384C4⋊C4—62no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4—121no—
1389C4⋊C4—121no—
1390C4⋊C4—121no—
1391C4⋊C4—121no—
1392C4⋊C4—121no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—34no—
1401C22⋊C4—34no—
1402C22⋊C4—34no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4D3×D414yes—
1453C42—22no—
1454C42—41no—
1455C42—41no—
1456C42—62no—
1457C42—62no—
1458C42—121no—
1459C42—121no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3C23×D411yescharacteristic
1489C22×C3C22×#4111yescharacteristic
1490C22×C3C2×H(5,𝔽2)11yescharacteristic
1491C22×C3C2×H(5,𝔽2)11yescharacteristic
1492C22×C3C2×H(5,𝔽2)11yescharacteristic
1493C22×C3#58511yescharacteristic
1494C22×C3#58511yescharacteristic
1495C2×D3—22no—
1496C2×D3—22no—
1497C2×D3—22no—
1498C2×D3—22no—
1499C2×D3—22no—
1500C2×D3—22no—
1501C2×D3—22no—
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—22no—
1506C2×D3—22no—
1507C2×D3—416no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—88no—
1524C2×D3—88no—
1525C2×D3#54614yes—
1526C3×C4—22no—
1527C3×C4—22no—
1528C3×C4—22no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537Dic3—22no—
1538Dic3—22no—
1539Dic3—22no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547Dic3—41no—
1548Dic3—41no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—32no—
1576C23—32no—
1577C23—32no—
1578C23—32no—
1579C23—32no—
1580C23—68no—
1581C23—68no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—124no—
1613C23—124no—
1614C23—124no—
1615C23—124no—
1616C23—242no—
1617C23—242no—
1618C23—242no—
1619C23—242no—
1620C23—242no—
1621C23—242no—
1622C23—242no—
1623C23—242no—
1624C23C2×D3×D412yes—
1625C23#100412yes—
1626C23C24×D311yescharacteristic
1627Q8—82no—
1628D4—44no—
1629D4—44no—
1630D4—44no—
1631D4—82no—
1632D4—82no—
1633D4—82no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
1643D4—124no—
1644D4—124no—
1645D4—242no—
1646D4—242no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
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—32no—
1678C2×C4—32no—
1679C2×C4—32no—
1680C2×C4—44no—
1681C2×C4—68no—
1682C2×C4—68no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
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—82no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—242no—
1724C2×C4—242no—
1725C2×C4—242no—
1726C2×C4C2×D3×D412yes—
1727C2×C4C2×D3×D412yes—
1728C2×C4D3×#4112yes—
1729C2×C3—42no—
1730C2×C3—42no—
1731C2×C3—81no—
1732C2×C3—81no—
1733C2×C3#344911yescharacteristic
1734C2×C3C2×#54611yescharacteristic
1735C2×C3#348411yescharacteristic
1736C2×C3#349411yescharacteristic
1737C2×C3#349411yescharacteristic
1738C2×C3#353411yescharacteristic
1739C2×C3#353411yescharacteristic
1740D3—24no—
1741D3—42no—
1742D3—42no—
1743D3—81no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—34no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—62no—
1774C22—62no—
1775C22—62no—
1776C22—62no—
1777C22—62no—
1778C22—62no—
1779C22—62no—
1780C22—62no—
1781C22—62no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—1216no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—248no—
1802C22—248no—
1803C22C22×D3×D411yescharacteristic
1804C22C2×#100411yescharacteristic
1805C22C2×D3×#4111yescharacteristic
1806C22#596411yescharacteristic
1807C22#596411yescharacteristic
1808C22D3×H(5,𝔽2)11yescharacteristic
1809C22D3×H(5,𝔽2)11yescharacteristic
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—62no—
1822C4—62no—
1823C4—62no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C4—121no—
1832C4—121no—
1833C3#3784011yescharacteristic, complemented, Sylow
1834C2—42no—
1835C2—42no—
1836C2—64no—
1837C2—81no—
1838C2—81no—
1839C2—122no—
1840C2—122no—
1841C2—241no—
1842C2#8623511yescharacteristic
1843C2#8624011yescharacteristic
1844C2#8642111yescharacteristic
1845C2#8662011yescharacteristic
1846C2D3×#54611yescharacteristic
1847C2#8666911yescharacteristic
1848C2#8696011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2555C2
hypercenter#2555D3
hypocenterC3#37840
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2555

Complements

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

NH ≅ G/Ntype
1. C2×#5679C2semidirect
2. C2×D3×#121C2semidirect
3. C3×#2555C2semidirect
4. #83004C2semidirect
5. #82975C2semidirect
6. #82960C2semidirect
7. #82702C2semidirect
8. #82681C2semidirect
9. #82673C2semidirect
10. #77259C2semidirect
11. #77257C2semidirect
12. #77106C2semidirect
13. #77012C2semidirect
14. #76760C2semidirect
15. #76721C2semidirect
16. #76710C2semidirect
17. #76669C2semidirect
18. #76447C2semidirect
19. #76437C2semidirect
20. #75866C2semidirect
21. #75862C2semidirect
22. #75828C2semidirect
23. #75683C2semidirect
24. #74936C2semidirect
25. #74874C2semidirect
26. #74801C2semidirect
27. #74719C2semidirect
28. #73604C2semidirect
29. #73595C2semidirect
30. #73574C2semidirect
31. #73561C2semidirect
37. C2×C3×#124C22semidirect
38. C2×C3×#124C22semidirect
40. C2×C3×#121C22semidirect
41. C2×#947C22semidirect
43. C2×#946C22semidirect
46. C2×#939C22semidirect
47. C2×#939C22semidirect
48. C2×#939C22semidirect
53. C2×#935C22semidirect
59. C2×#894C22semidirect
65. C2×#883C22semidirect
66. C2×#883C22semidirect
68. C2×#67⋊C4C22semidirect
72. C2×#879C22semidirect
73. C2×#879C22semidirect
76. C2×#872C22semidirect
77. C3×#395C22semidirect
78. C3×#394C22semidirect
79. C3×#392C22semidirect
80. C3×#392C22semidirect
81. C3×#390C22semidirect
82. C3×#388C22semidirect
83. C3×#388C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
86. C3×C4×C22⋊C4C22semidirect
87. C3×C4×C22⋊C4C22semidirect
88. #5230C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
96. #5221C22semidirect
97. #5220C22semidirect
98. #5220C22semidirect
99. #5220C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5210C22semidirect
103. #5210C22semidirect
104. C4×#217C22semidirect
105. #4994C22semidirect
106. #4993C22semidirect
107. #4991C22semidirect
110. #4986C22semidirect
111. #4983C22semidirect
112. #4983C22semidirect
113. #4976C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4960C22semidirect
118. #4960C22semidirect
119. #4960C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4958C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
144. #4952C22semidirect
145. #4950C22semidirect
146. #4950C22semidirect
147. #4949C22semidirect
148. #4948C22semidirect
149. #4946C22semidirect
150. #4946C22semidirect
151. #4945C22semidirect
152. #4945C22semidirect
153. #4944C22semidirect
154. #4942C22semidirect
155. #4942C22semidirect
156. Dic3×C22⋊C4C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
161. #4939C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. #4928C22semidirect
166. #4675C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
169. #4670C22semidirect
170. #4669C22semidirect
171. #4669C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
176. #4667C22semidirect
177. #4667C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
185. #4659C22semidirect
186. #4657C22semidirect
187. #4657C22semidirect
188. #4655C22semidirect
189. #4654C22semidirect
206. #2555D3semidirect
392. D3×C22⋊C4D4semidirect
434. C2×#124C2×D3semidirect
435. C2×#124C2×D3semidirect
456. C2×#121C2×D3semidirect
483. #395C2×D3semidirect
501. #394C2×D3semidirect
508. #392C2×D3semidirect
509. #392C2×D3semidirect
515. #390C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×D3semidirect
547. #386C2×D3semidirect
548. #386C2×D3semidirect
581. C4×C22⋊C4C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
1833. C3#37840semidirect

Maximal subgroups

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

subgroupindex
C2×#56792
C2×D3×#1212
C3×#25552
#830042
#829752
#829602
#827022
#826812
#826732
#772592
#772572
#771062
#770122
#767602
#767212
#767102
#766692
#764472
#764372
#758662
#758622
#758282
#756832
#749362
#748742
#748012
#747192
#736042
#735952
#735742
#735612
#378403