Finite Group Databasebeta

← #11069939

Subgroups — #11069939

Order 768.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#538C211yesmaximal, characteristic, complemented
2C2×#5678C211yesmaximal, characteristic, complemented
3#83114C211yesmaximal, characteristic, complemented
4#83112C211yesmaximal, characteristic, complemented
5#83104C211yesmaximal, characteristic, complemented
6#83083C211yesmaximal, characteristic, complemented
7#83006C211yesmaximal, characteristic, complemented
8#82974C211yesmaximal, characteristic, complemented
9Dic3×#124C211yesmaximal, characteristic, complemented
10#82909C211yesmaximal, characteristic, complemented
11#82896C211yesmaximal, characteristic, complemented
12#82859C211yesmaximal, characteristic, complemented
13#82845C211yesmaximal, characteristic, complemented
14#82806C211yesmaximal, characteristic, complemented
15#82778C211yesmaximal, characteristic, complemented
16#82720C211yesmaximal, characteristic, complemented
17#82693C211yesmaximal, characteristic, complemented
18#82657C211yesmaximal, characteristic, complemented
19#82650C211yesmaximal, characteristic, complemented
20#82650C211yesmaximal, characteristic, complemented
21#82642C211yesmaximal, characteristic, complemented
22#82599C211yesmaximal, characteristic, complemented
23#82596C211yesmaximal, characteristic, complemented
24#82588C211yesmaximal, characteristic, complemented
25#82582C211yesmaximal, characteristic, complemented
26#82423C211yesmaximal, characteristic, complemented
27#82364C211yesmaximal, characteristic, complemented
28#82340C211yesmaximal, characteristic, complemented
29C4×#940C211yesmaximal, characteristic, complemented
30#82128C211yesmaximal, characteristic, complemented
31C22⋊C4×#67C211yesmaximal, characteristic, complemented
32#39396—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C3×#538—28no—
35C2×C3×#126C2211yescharacteristic
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#124C2211yescharacteristic
38C2×C3×#124C2211yescharacteristic, complemented
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic, complemented
41C2×C3×C22⋊Q8C2211yescharacteristic, complemented
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic, complemented
44C2×C3×#121C2211yescharacteristic, complemented
45C2×C3×#120C2211yescharacteristic
46C2×C3×#120C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic, complemented
48C2×C3×C4×D4C2211yescharacteristic, complemented
49C22×C3×C22⋊C4C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C2×#947C2211yescharacteristic, complemented
52C2×#946C2211yescharacteristic, complemented
53C2×Q8×Dic3C2211yescharacteristic, complemented
54C2×#940C2211yescharacteristic
55C2×#940C2211yescharacteristic
56C2×#939C2211yescharacteristic
57C2×#939C2211yescharacteristic
58C2×#939C2211yescharacteristic
59C2×#939C2211yescharacteristic
60C2×#939C2211yescharacteristic, complemented
61C2×#937C2211yescharacteristic
62C2×#937C2211yescharacteristic
63C2×#935C2211yescharacteristic, complemented
64C2×D4×Dic3C2211yescharacteristic
65C2×#929C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic
67C2×C4×#67C2211yescharacteristic
68C2×C4×#67C2211yescharacteristic, complemented
69C2×C4×#67C2211yescharacteristic, complemented
70C2×C4×#67C2211yescharacteristic, complemented
71C22×Dic3⋊C4C2211yescharacteristic, complemented
72#5678—28no—
73C2×#886C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic
77C2×#882C2211yescharacteristic
78C2×#67⋊C4C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×#879C2211yescharacteristic
81C2×#876C2211yescharacteristic, complemented
82C2×C4×D12C2211yescharacteristic, complemented
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5229C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5221C2211yescharacteristic
99#5221C2211yescharacteristic, complemented
100#5221C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5213C2211yescharacteristic
104#5213C2211yescharacteristic
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108#5213C2211yescharacteristic, complemented
109#5212C2211yescharacteristic, complemented
110#5210C2211yescharacteristic, complemented
111#5210C2211yescharacteristic, complemented
112#4994C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4993C2211yescharacteristic, complemented
116#4993C2211yescharacteristic, complemented
117#4992C2211yescharacteristic, complemented
118#4991C2211yescharacteristic, complemented
119#4991C2211yescharacteristic, complemented
120#4990C2211yescharacteristic, complemented
121#4990C2211yescharacteristic, complemented
122#4990C2211yescharacteristic, complemented
123#4989C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4988C2211yescharacteristic, complemented
126#4987C2211yescharacteristic, complemented
127#4986C2211yescharacteristic, complemented
128#4985C2211yescharacteristic, complemented
129#4978C2211yescharacteristic, complemented
130#4976C2211yescharacteristic, complemented
131#4976C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133#4976C2211yescharacteristic, complemented
134#4975C2211yescharacteristic, complemented
135#4975C2211yescharacteristic, complemented
136#4961C2211yescharacteristic
137#4961C2211yescharacteristic
138#4961C2211yescharacteristic, complemented
139#4961C2211yescharacteristic, complemented
140#4961C2211yescharacteristic, complemented
141#4961C2211yescharacteristic, complemented
142#4960C2211yescharacteristic
143#4960C2211yescharacteristic
144#4959C2211yescharacteristic
145#4959C2211yescharacteristic
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic
151#4957C2211yescharacteristic
152#4957C2211yescharacteristic, complemented
153#4957C2211yescharacteristic, complemented
154#4957C2211yescharacteristic, complemented
155#4957C2211yescharacteristic, complemented
156#4956C2211yescharacteristic
157#4956C2211yescharacteristic
158#4956C2211yescharacteristic, complemented
159#4956C2211yescharacteristic, complemented
160#4955C2211yescharacteristic
161#4955C2211yescharacteristic
162#4953C2211yescharacteristic, complemented
163#4952C2211yescharacteristic
164#4952C2211yescharacteristic
165#4951C2211yescharacteristic
166#4951C2211yescharacteristic
167#4951C2211yescharacteristic, complemented
168#4951C2211yescharacteristic, complemented
169#4949C2211yescharacteristic, complemented
170#4949C2211yescharacteristic, complemented
171#4948C2211yescharacteristic, complemented
172#4948C2211yescharacteristic, complemented
173#4948C2211yescharacteristic, complemented
174#4945C2211yescharacteristic, complemented
175#4945C2211yescharacteristic, complemented
176#4945C2211yescharacteristic, complemented
177#4944C2211yescharacteristic, complemented
178#4942C2211yescharacteristic
179#4942C2211yescharacteristic
180Dic3×C22⋊C4C2211yescharacteristic
181Dic3×C22⋊C4C2211yescharacteristic
182Dic3×C22⋊C4C2211yescharacteristic, complemented
183Dic3×C22⋊C4C2211yescharacteristic, complemented
184#4940C2211yescharacteristic, complemented
185#4939C2211yescharacteristic, complemented
186#4936C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188C4×Dic3⋊C4C2211yescharacteristic, complemented
189C42×Dic3C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538D311yescharacteristic, complemented
192#2860—31no—
193#2730—31no—
194#2730—31no—
195#2703—31no—
196#2703—31no—
197#2685—31no—
198#2685—31no—
199#2678—31no—
200#2678—31no—
201#2636—31no—
202#2636—31no—
203#2548—31no—
204#2538—31no—
205#2501—31no—
206#2496—31no—
207#2456—31no—
208#2456—31no—
209#2433—31no—
210#2428—31no—
211#2428—31no—
212#2422—31no—
213#2418—31no—
214#2418—31no—
215#2416—31no—
216#2408—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219C4×#127—31no—
220C4×#124—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67—24no—
236C22×#67—42no—
237C22×#67—42no—
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C3×#126—24no—
260C3×#126—24no—
261C3×#124—24no—
262C3×#124D418yescomplemented
263C3×#123—24no—
264C3×#123—24no—
265C3×C22⋊Q8—24no—
266C3×#121—24no—
267C3×#121—24no—
268C3×#121—24no—
269C3×#120—24no—
270C3×#120—24no—
271C3×C4×D4—24no—
272C3×C4×D4—24no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4—24no—
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×C3×C42C2311yescharacteristic
295C2×C3×C42C2311yescharacteristic
296#953—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
320#947—24no—
321#946—24no—
322Q8×Dic3—42no—
323#940—24no—
324#940—42no—
325#939—24no—
326#939—24no—
327#939—42no—
328#939—42no—
329#939—42no—
330#937—24no—
331#937—42no—
332#935—42no—
333D4×Dic3—42no—
334#929—42no—
335C4×#67—42no—
336C4×#67—42no—
337C4×#67—42no—
338C4×#67—42no—
339C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394#886—24no—
395#884—24no—
396#884—24no—
397#883—24no—
398#882—24no—
399#67⋊C4—24no—
400D3×C22⋊C4—24no—
401#879—24no—
402#876—24no—
403C4×D12—24no—
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—
427#538—28no—
428#538—68no—
429C2×#127—31no—
430C2×#127—31no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#126C2×D311yescharacteristic
434C2×#126C2×D311yescharacteristic, complemented
435C2×#124—31no—
436C2×#124C2×D311yescharacteristic
437C2×#124C2×D311yescharacteristic, complemented
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123C2×D311yescharacteristic
443C2×#123C2×D311yescharacteristic, complemented
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8C2×D311yescharacteristic, complemented
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121C2×D311yescharacteristic
454C2×#121C2×D311yescharacteristic, complemented
455C2×#121C2×D311yescharacteristic, complemented
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120C2×D311yescharacteristic
461C2×#120C2×D311yescharacteristic
462C2×C4×Q8—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4C2×D311yescharacteristic, complemented
472C2×C4×D4C2×D311yescharacteristic, complemented
473C22×C4⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4C2×D311yescharacteristic
476#400—31no—
477#400—31no—
478#399—31no—
479#399—31no—
480#399—31no—
481#399—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—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#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#391—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#389—31no—
533#389—31no—
534#389—31no—
535#389—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#387—31no—
549#387—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#384—31no—
567#384—31no—
568#382—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—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C43—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×Q8—41no—
606C2×C3×Q8—41no—
607C2×C3×Q8C2×D414yescomplemented
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4C2×D414yes—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
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
650C22×C3×C4C2411yescharacteristic
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—22no—
668C2×#67—22no—
669C2×#67—22no—
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—
680C2×#67—41no—
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—416no—
690C2×#67#4114yes—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4C2×D414yes—
745C3×C22⋊C4C2×D414yes—
746C3×C22⋊C4C2×D414yescomplemented
747C3×C22⋊C4C2×D414yescomplemented
748C3×C42—22no—
749C3×C42C2×D414yescomplemented
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
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(C2×D3)⋊C4—22no—
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—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
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—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—41no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801C4⋊Dic3—41no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C25—31no—
827C25C22×D311yescharacteristic
828C22×Q8C22×D311yescharacteristic
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
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—64no—
845C22×D4—122no—
846C22×D4—122no—
847C22×D4C22×D311yescharacteristic
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862C23×C4C22×D311yescharacteristic
863C23×C4C22×D311yescharacteristic
864#127—64no—
865#127—122no—
866#126—24no—
867#126—24no—
868#126—64no—
869#126—64no—
870#124—24no—
871#124—64no—
872#124#6718yescomplemented
873#123—24no—
874#123—24no—
875#123—64no—
876#123—64no—
877#123—122no—
878#123—122no—
879C22⋊Q8—24no—
880C22⋊Q8—64no—
881#121—24no—
882#121—24no—
883#121—24no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888#121—122no—
889#121—122no—
890#121—122no—
891#120—24no—
892#120—24no—
893#120—64no—
894#120—64no—
895#120—122no—
896#120—122no—
897C4×Q8—122no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—64no—
901C4×D4—64no—
902C4×D4—122no—
903C4×D4—122no—
904C4×D4—122no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
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—122no—
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C22⋊C4—24no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
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—31no—
983C2×C22⋊C4—64no—
984C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—31no—
1007C2×C42C22×D311yescharacteristic
1008C2×C42C22×D311yescharacteristic
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#95—31no—
1029#95—31no—
1030#95—31no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
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×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—44no—
1064C23×C3—44no—
1065C23×C3—82no—
1066C23×C3—82no—
1067C23×C3—82no—
1068C23×C3—82no—
1069C23×C3—82no—
1070C23×C3C22×D412yes—
1071C23×C3C22×D412yes—
1072C23×C3C2×#4112yes—
1073C23×C3C2511yescharacteristic
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3C2×#4112yes—
1102C3×Q8—44no—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—44no—
1106C3×D4—82no—
1107C3×D4—82no—
1108C3×D4—82no—
1109C3×D4—82no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
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—82no—
1136C2×C3×C4—82no—
1137C2×C3×C4—82no—
1138C2×C3×C4—82no—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C22×D412yes—
1143C2×C3×C4C22×D412yes—
1144#67—28no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—44no—
1151#67—44no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155#67—82no—
1156#67—82no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
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—44no—
1193C2×Dic3—44no—
1194C2×Dic3—82no—
1195C2×Dic3C2×#4112yes—
1196C2×Dic3H(5,𝔽2)12yes—
1197C2×Dic3H(5,𝔽2)12yes—
1198C2×Dic3H(5,𝔽2)12yes—
1199D12—44no—
1200D12—82no—
1201C4×D3—82no—
1202C4×D3—82no—
1203C4×D3—82no—
1204C24—22no—
1205C24—22no—
1206C24—31no—
1207C24—31no—
1208C24—31no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—62no—
1215C24—62no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24C23×D311yescharacteristic
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C2×Q8—41no—
1227C2×Q8—41no—
1228C2×Q8C2×#6714yescomplemented
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—34no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
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—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—1216no—
1295C2×D4C2×#6714yes—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4C2×#6714yes—
1433C22⋊C4C2×#6714yes—
1434C22⋊C4C2×#6714yescomplemented
1435C22⋊C4C2×#6714yescomplemented
1436C42—22no—
1437C42—62no—
1438C42—62no—
1439C42—62no—
1440C42—62no—
1441C42—62no—
1442C42—62no—
1443C42—62no—
1444C42—121no—
1445C42—121no—
1446C42C2×#6714yescomplemented
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
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—88no—
1483C22×C3C23×D411yescharacteristic
1484C22×C3C22×#4111yescharacteristic
1485C22×C3C2×H(5,𝔽2)11yescharacteristic
1486C22×C3C2×H(5,𝔽2)11yescharacteristic
1487C22×C3C2×H(5,𝔽2)11yescharacteristic
1488C22×C3#58511yescharacteristic
1489C22×C3#58511yescharacteristic
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—88no—
1512C3×C4—22no—
1513C3×C4—22no—
1514C3×C4—22no—
1515C3×C4—22no—
1516C3×C4—22no—
1517C3×C4—41no—
1518C3×C4—41no—
1519C3×C4—41no—
1520C3×C4—41no—
1521C3×C4—41no—
1522Dic3—22no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533Dic3—41no—
1534Dic3#53814yescomplemented
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
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—32no—
1568C23—44no—
1569C23—44no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—82no—
1591C23—82no—
1592C23—82no—
1593C23—82no—
1594C23—82no—
1595C23—124no—
1596C23—124no—
1597C23—242no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23—242no—
1602C23D3×#4112yes—
1603C23C22×#6712yes—
1604C23C22×#6712yes—
1605C23C24×D311yescharacteristic
1606Q8—44no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—68no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—32no—
1655C2×C4—32no—
1656C2×C4—32no—
1657C2×C4—32no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
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—82no—
1694C2×C4—82no—
1695C2×C4—82no—
1696C2×C4—82no—
1697C2×C4—124no—
1698C2×C4—124no—
1699C2×C4—242no—
1700C2×C4—242no—
1701C2×C4—242no—
1702C2×C4—242no—
1703C2×C4C22×#6712yes—
1704C2×C4C22×#6712yes—
1705C2×C4C22×#6712yes—
1706C2×C4C22×#6712yes—
1707C2×C4C22×#6712yes—
1708C2×C3—42no—
1709C2×C3—42no—
1710C2×C3—42no—
1711C2×C3—81no—
1712C2×C3—81no—
1713C2×C3C2×#53811yescharacteristic
1714C2×C3D4×#4111yescharacteristic
1715C2×C3#349611yescharacteristic
1716C2×C3#349811yescharacteristic
1717C2×C3#351311yescharacteristic
1718C2×C3#354611yescharacteristic
1719C2×C3#356211yescharacteristic
1720D3—42no—
1721D3—81no—
1722D3—81no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—62no—
1759C22—62no—
1760C22—62no—
1761C22—88no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—248no—
1781C22C2×D3×#4111yescharacteristic
1782C22#596411yescharacteristic
1783C22D3×H(5,𝔽2)11yescharacteristic
1784C22D3×H(5,𝔽2)11yescharacteristic
1785C22D3×H(5,𝔽2)11yescharacteristic
1786C22#596611yescharacteristic
1787C22C23×#6711yescharacteristic
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—34no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—62no—
1800C4—121no—
1801C4—121no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C3#3939611yescharacteristic, complemented, Sylow
1812C2—42no—
1813C2—42no—
1814C2—42no—
1815C2—81no—
1816C2—81no—
1817C2—122no—
1818C2—241no—
1819C2—241no—
1820C2#8640111yescharacteristic
1821C2#8640611yescharacteristic
1822C2D3×#53811yescharacteristic
1823C2#8641611yescharacteristic
1824C2#41×#6711yescharacteristic
1825C2#8728111yescharacteristic
1826C2#8728211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#538C2
hypercenterC2×#538D3
hypocenterC3#39396
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C3×#538C2semidirect
2. C2×#5678C2semidirect
3. #83114C2semidirect
4. #83112C2semidirect
5. #83104C2semidirect
6. #83083C2semidirect
7. #83006C2semidirect
8. #82974C2semidirect
9. Dic3×#124C2semidirect
10. #82909C2semidirect
11. #82896C2semidirect
12. #82859C2semidirect
13. #82845C2semidirect
14. #82806C2semidirect
15. #82778C2semidirect
16. #82720C2semidirect
17. #82693C2semidirect
18. #82657C2semidirect
19. #82650C2semidirect
20. #82650C2semidirect
21. #82642C2semidirect
22. #82599C2semidirect
23. #82596C2semidirect
24. #82588C2semidirect
25. #82582C2semidirect
26. #82423C2semidirect
27. #82364C2semidirect
28. #82340C2semidirect
29. C4×#940C2semidirect
30. #82128C2semidirect
31. C22⋊C4×#67C2semidirect
36. C2×C3×#126C22semidirect
38. C2×C3×#124C22semidirect
40. C2×C3×#123C22semidirect
41. C2×C3×C22⋊Q8C22semidirect
43. C2×C3×#121C22semidirect
44. C2×C3×#121C22semidirect
47. C2×C3×C4×D4C22semidirect
48. C2×C3×C4×D4C22semidirect
51. C2×#947C22semidirect
52. C2×#946C22semidirect
53. C2×Q8×Dic3C22semidirect
60. C2×#939C22semidirect
63. C2×#935C22semidirect
65. C2×#929C22semidirect
68. C2×C4×#67C22semidirect
69. C2×C4×#67C22semidirect
70. C2×C4×#67C22semidirect
71. C22×Dic3⋊C4C22semidirect
73. C2×#886C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
78. C2×#67⋊C4C22semidirect
81. C2×#876C22semidirect
82. C2×C4×D12C22semidirect
85. #5229C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
96. #5222C22semidirect
97. #5222C22semidirect
99. #5221C22semidirect
100. #5221C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
108. #5213C22semidirect
109. #5212C22semidirect
110. #5210C22semidirect
111. #5210C22semidirect
112. #4994C22semidirect
113. #4994C22semidirect
114. #4994C22semidirect
115. #4993C22semidirect
116. #4993C22semidirect
117. #4992C22semidirect
118. #4991C22semidirect
119. #4991C22semidirect
120. #4990C22semidirect
121. #4990C22semidirect
122. #4990C22semidirect
123. #4989C22semidirect
124. #4989C22semidirect
125. #4988C22semidirect
126. #4987C22semidirect
127. #4986C22semidirect
128. #4985C22semidirect
129. #4978C22semidirect
130. #4976C22semidirect
131. #4976C22semidirect
132. #4976C22semidirect
133. #4976C22semidirect
134. #4975C22semidirect
135. #4975C22semidirect
138. #4961C22semidirect
139. #4961C22semidirect
140. #4961C22semidirect
141. #4961C22semidirect
152. #4957C22semidirect
153. #4957C22semidirect
154. #4957C22semidirect
155. #4957C22semidirect
158. #4956C22semidirect
159. #4956C22semidirect
162. #4953C22semidirect
167. #4951C22semidirect
168. #4951C22semidirect
169. #4949C22semidirect
170. #4949C22semidirect
171. #4948C22semidirect
172. #4948C22semidirect
173. #4948C22semidirect
174. #4945C22semidirect
175. #4945C22semidirect
176. #4945C22semidirect
177. #4944C22semidirect
182. Dic3×C22⋊C4C22semidirect
183. Dic3×C22⋊C4C22semidirect
184. #4940C22semidirect
185. #4939C22semidirect
186. #4936C22semidirect
187. #4933C22semidirect
188. C4×Dic3⋊C4C22semidirect
189. C42×Dic3C22semidirect
191. C2×#538D3semidirect
262. C3×#124D4semidirect
434. C2×#126C2×D3semidirect
437. C2×#124C2×D3semidirect
443. C2×#123C2×D3semidirect
445. C2×C22⋊Q8C2×D3semidirect
454. C2×#121C2×D3semidirect
455. C2×#121C2×D3semidirect
471. C2×C4×D4C2×D3semidirect
472. C2×C4×D4C2×D3semidirect
607. C2×C3×Q8C2×D4semidirect
746. C3×C22⋊C4C2×D4semidirect
747. C3×C22⋊C4C2×D4semidirect
749. C3×C42C2×D4semidirect
872. #124#67semidirect
1228. C2×Q8C2×#67semidirect
1434. C22⋊C4C2×#67semidirect
1435. C22⋊C4C2×#67semidirect
1446. C42C2×#67semidirect
1534. Dic3#538semidirect
1811. C3#39396semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5382
C2×#56782
#831142
#831122
#831042
#830832
#830062
#829742
Dic3×#1242
#829092
#828962
#828592
#828452
#828062
#827782
#827202
#826932
#826572
#826502
#826422
#825992
#825962
#825882
#825822
#824232
#823642
#823402
C4×#9402
#821282
C22⋊C4×#672
#393963