Finite Group Databasebeta

← #11098309

Subgroups — #11098309

Order 768.

2574 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#539C211yesmaximal, characteristic, complemented
2C2×#5554C211yesmaximal, characteristic, complemented
3#83114C211yesmaximal, characteristic, complemented
4#83113C211yesmaximal, characteristic, complemented
5#83112C211yesmaximal, characteristic, complemented
6#83097C211yesmaximal, characteristic, complemented
7#83071C211yesmaximal, characteristic, complemented
8#83070C211yesmaximal, characteristic, complemented
9#83051C211yesmaximal, characteristic, complemented
10#83040C211yesmaximal, characteristic, complemented
11#82911C211yesmaximal, characteristic, complemented
12#82907C211yesmaximal, characteristic, complemented
13#82901C211yesmaximal, characteristic, complemented
14#82894C211yesmaximal, characteristic, complemented
15#82893C211yesmaximal, characteristic, complemented
16#82881C211yesmaximal, characteristic, complemented
17#82859C211yesmaximal, characteristic, complemented
18#82841C211yesmaximal, characteristic, complemented
19#82827C211yesmaximal, characteristic, complemented
20#82822C211yesmaximal, characteristic, complemented
21#82821C211yesmaximal, characteristic, complemented
22#82797C211yesmaximal, characteristic, complemented
23#82771C211yesmaximal, characteristic, complemented
24#82769C211yesmaximal, characteristic, complemented
25#82702C211yesmaximal, characteristic, complemented
26#82651C211yesmaximal, characteristic, complemented
27#82414C211yesmaximal, characteristic, complemented
28#82352C211yesmaximal, characteristic, complemented
29#82335C211yesmaximal, characteristic, complemented
30#82199C211yesmaximal, characteristic, complemented
31C2×#4994C211yesmaximal, characteristic, complemented
32#40517—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C3×#539—28no—
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#125C2211yescharacteristic, complemented
39C2×C3×#125C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×#123C2211yescharacteristic, complemented
43C2×C3×#123C2211yescharacteristic, complemented
44C2×C3×C22⋊Q8C2211yescharacteristic, complemented
45C2×C3×C22⋊Q8C2211yescharacteristic, complemented
46C2×C3×C22⋊Q8C2211yescharacteristic, complemented
47C2×C3×#121C2211yescharacteristic
48C2×C3×C4×D4C2211yescharacteristic
49C2×C3×C4×D4C2211yescharacteristic, complemented
50C22×C3×C4⋊C4C2211yescharacteristic, complemented
51C2×#947C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#937C2211yescharacteristic
55C2×#937C2211yescharacteristic
56C2×#935C2211yescharacteristic, complemented
57C2×#930C2211yescharacteristic
58C2×#930C2211yescharacteristic
59C2×#930C2211yescharacteristic, complemented
60C2×#929C2211yescharacteristic
61C2×#929C2211yescharacteristic, complemented
62C22×(C2×D3)⋊C4C2211yescharacteristic
63C22×(C2×D3)⋊C4C2211yescharacteristic
64C22×(C2×D3)⋊C4C2211yescharacteristic
65C22×(C2×D3)⋊C4C2211yescharacteristic
66C2×#926C2211yescharacteristic, complemented
67C22×C4⋊Dic3C2211yescharacteristic, complemented
68C22×Dic3⋊C4C2211yescharacteristic, complemented
69#5554—28no—
70C2×#897C2211yescharacteristic
71C2×#895C2211yescharacteristic
72C2×#886C2211yescharacteristic
73C2×#886C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#875C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78#5231C2211yescharacteristic
79#5231C2211yescharacteristic, complemented
80#5229C2211yescharacteristic, complemented
81#5223C2211yescharacteristic
82#5223C2211yescharacteristic, complemented
83#5220C2211yescharacteristic
84#5220C2211yescharacteristic
85#5220C2211yescharacteristic, complemented
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic, complemented
89#5213C2211yescharacteristic, complemented
90#5212C2211yescharacteristic, complemented
91#5212C2211yescharacteristic, complemented
92#5212C2211yescharacteristic, complemented
93C2×C3⋊#95C2211yescharacteristic, complemented
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4993C2211yescharacteristic
111#4993C2211yescharacteristic, complemented
112#4993C2211yescharacteristic, complemented
113#4993C2211yescharacteristic, complemented
114#4992C2211yescharacteristic, complemented
115#4992C2211yescharacteristic, complemented
116#4991C2211yescharacteristic
117#4991C2211yescharacteristic
118#4991C2211yescharacteristic
119#4991C2211yescharacteristic
120#4991C2211yescharacteristic, complemented
121#4991C2211yescharacteristic, complemented
122#4991C2211yescharacteristic, complemented
123#4990C2211yescharacteristic
124#4990C2211yescharacteristic, complemented
125#4990C2211yescharacteristic, complemented
126#4990C2211yescharacteristic, complemented
127#4989C2211yescharacteristic
128#4989C2211yescharacteristic
129#4989C2211yescharacteristic
130#4989C2211yescharacteristic, complemented
131#4989C2211yescharacteristic, complemented
132#4989C2211yescharacteristic, complemented
133#4988C2211yescharacteristic
134#4988C2211yescharacteristic
135#4988C2211yescharacteristic, complemented
136#4986C2211yescharacteristic, complemented
137#4986C2211yescharacteristic, complemented
138#4981C2211yescharacteristic, complemented
139#4981C2211yescharacteristic, complemented
140#4980C2211yescharacteristic, complemented
141#4980C2211yescharacteristic, complemented
142#4979C2211yescharacteristic, complemented
143#4979C2211yescharacteristic, complemented
144#4979C2211yescharacteristic, complemented
145#4977C2211yescharacteristic, complemented
146#4975C2211yescharacteristic, complemented
147#4975C2211yescharacteristic, complemented
148#4961C2211yescharacteristic
149#4961C2211yescharacteristic, complemented
150#4961C2211yescharacteristic, complemented
151#4961C2211yescharacteristic, complemented
152#4960C2211yescharacteristic
153#4960C2211yescharacteristic
154#4960C2211yescharacteristic, complemented
155#4959C2211yescharacteristic
156#4959C2211yescharacteristic
157#4959C2211yescharacteristic
158#4959C2211yescharacteristic, complemented
159#4959C2211yescharacteristic, complemented
160#4959C2211yescharacteristic, complemented
161#4958C2211yescharacteristic
162#4958C2211yescharacteristic, complemented
163#4957C2211yescharacteristic
164#4957C2211yescharacteristic, complemented
165#4957C2211yescharacteristic, complemented
166#4957C2211yescharacteristic, complemented
167#4956C2211yescharacteristic
168#4956C2211yescharacteristic, complemented
169#4955C2211yescharacteristic
170#4955C2211yescharacteristic
171#4955C2211yescharacteristic
172#4955C2211yescharacteristic
173#4951C2211yescharacteristic, complemented
174#4951C2211yescharacteristic, complemented
175#4949C2211yescharacteristic, complemented
176#4949C2211yescharacteristic, complemented
177#4947C2211yescharacteristic, complemented
178#4946C2211yescharacteristic, complemented
179#4946C2211yescharacteristic, complemented
180#4946C2211yescharacteristic, complemented
181#4943C2211yescharacteristic, complemented
182Dic3×C22⋊C4C2211yescharacteristic, complemented
183Dic3×C22⋊C4C2211yescharacteristic, complemented
184#4940C2211yescharacteristic
185#4940C2211yescharacteristic, complemented
186#4939C2211yescharacteristic, complemented
187#4936C2211yescharacteristic, complemented
188C4×C4⋊Dic3C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#539D311yescharacteristic, complemented
192#2820—31no—
193#2813—31no—
194#2720—31no—
195#2718—31no—
196#2711—31no—
197#2706—31no—
198#2692—31no—
199#2685—31no—
200#2678—31no—
201#2676—31no—
202#2662—31no—
203#2636—31no—
204#2626—31no—
205#2620—31no—
206#2618—31no—
207#2566—31no—
208#2539—31no—
209#2534—31no—
210#2501—31no—
211#2488—31no—
212#2472—31no—
213#2430—31no—
214#2416—31no—
215#2411—31no—
216#2410—31no—
217#2406—31no—
218#2405—31no—
219C2×#396—31no—
220#2352—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C2×#237—24no—
245C2×#237—42no—
246C2×#237—42no—
247C2×D3×D4—24no—
248C2×D3×D4—42no—
249C2×D3×D4—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×#126—24no—
258C3×#126—24no—
259C3×#125—24no—
260C3×#125—24no—
261C3×#123—24no—
262C3×#123—24no—
263C3×#123—24no—
264C3×#123—24no—
265C3×C22⋊Q8—24no—
266C3×C22⋊Q8—24no—
267C3×C22⋊Q8—24no—
268C3×#121—24no—
269C3×C4×D4—24no—
270C3×C4×D4D418yescomplemented
271C2×C3×C4⋊C4—24no—
272C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308#947—42no—
309#939—42no—
310#939—42no—
311#937—42no—
312#937—42no—
313#935—42no—
314#930—24no—
315#930—24no—
316#930—42no—
317#929—42no—
318#929—42no—
319C2×(C2×D3)⋊C4—24no—
320C2×(C2×D3)⋊C4—24no—
321C2×(C2×D3)⋊C4—42no—
322C2×(C2×D3)⋊C4—42no—
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(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×(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
361#926—42no—
362C2×C4⋊Dic3—42no—
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×Dic3⋊C4—42no—
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
389#897—24no—
390#895—24no—
391#886—24no—
392#886—24no—
393#882—24no—
394#882—24no—
395#875—24no—
396C4×D12—24no—
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#539—28no—
427C2×#126C2×D311yescharacteristic, complemented
428C2×#126C2×D311yescharacteristic, complemented
429C2×#125C2×D311yescharacteristic, complemented
430C2×#125C2×D311yescharacteristic, complemented
431C2×#124—31no—
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123C2×D311yescharacteristic
439C2×#123C2×D311yescharacteristic, complemented
440C2×#123C2×D311yescharacteristic, complemented
441C2×#123C2×D311yescharacteristic, complemented
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8C2×D311yescharacteristic, complemented
444C2×C22⋊Q8C2×D311yescharacteristic, complemented
445C2×C22⋊Q8C2×D311yescharacteristic, complemented
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121C2×D311yescharacteristic
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4C2×D311yescharacteristic
459C2×C4×D4C2×D311yescharacteristic, complemented
460C2×#117—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4C2×D311yescharacteristic, complemented
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#395—31no—
497#395—31no—
498#395—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#393—31no—
517#393—31no—
518#393—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#391—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#389—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#387—31no—
543#387—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#384—31no—
565#384—31no—
566#382—31no—
567#382—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4C2×D414yes—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4C2×D414yes—
627C22×C3×C4C2×D414yes—
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688#237—416no—
689D3×D4—416no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×Dic6—22no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—22no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—22no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4C2×D414yes—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4C2×D414yes—
734C3×C22⋊C4C2×D414yes—
735C3×C42—22no—
736C3×C42C2×D414yes—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—22no—
789C4⋊Dic3—22no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792C4⋊Dic3—41no—
793C4⋊Dic3—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806C4×Dic3—22no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C25—31no—
811C25—31no—
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C22×Q8—31no—
816C22×Q8C22×D311yescharacteristic
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—64no—
830C22×D4—122no—
831C22×D4—122no—
832C22×D4C22×D311yescharacteristic
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4C22×D311yescharacteristic
842C23×C4C22×D311yescharacteristic
843C23×C4C22×D311yescharacteristic
844C23×C4C22×D311yescharacteristic
845C23×C4C22×D311yescharacteristic
846#126—24no—
847#126—24no—
848#125—24no—
849#125—24no—
850#124—64no—
851#124—122no—
852#123—24no—
853#123—24no—
854#123—24no—
855#123—24no—
856#123—64no—
857#123—64no—
858#123—122no—
859#123—122no—
860#123—122no—
861C22⋊Q8—24no—
862C22⋊Q8—24no—
863C22⋊Q8—24no—
864C22⋊Q8—64no—
865#121—24no—
866#121—64no—
867#121—64no—
868#121—64no—
869#121—122no—
870#121—122no—
871#121—122no—
872#120—64no—
873#120—64no—
874#120—122no—
875#120—122no—
876C4×D4—24no—
877C4×D4—64no—
878C4×D4#6718yescomplemented
879#117—122no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—122no—
903C2×C4⋊C4—122no—
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—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—64no—
967C2×C22⋊C4—64no—
968C2×C22⋊C4—122no—
969C2×C22⋊C4—122no—
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42—31no—
984C2×C42C22×D311yescharacteristic
985C2×C42C22×D311yescharacteristic
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3C22×D412yes—
1030C23×C3C22×D412yes—
1031C23×C3H(5,𝔽2)12yes—
1032C23×C3H(5,𝔽2)12yes—
1033C23×C3C2511yescharacteristic
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—82no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3—82no—
1072C22×D3—82no—
1073C22×D3—82no—
1074C22×D3—82no—
1075C22×D32−1+412yes—
1076C3×Q8—82no—
1077C3×D4—28no—
1078C3×D4—44no—
1079C3×D4—82no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—44no—
1112C2×C3×C4—44no—
1113C2×C3×C4—44no—
1114C2×C3×C4—82no—
1115C2×C3×C4—82no—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4C22×D412yes—
1118C2×C3×C4C22×D412yes—
1119C2×C3×C4C22×D412yes—
1120C2×C3×C4C22×D412yes—
1121#67—44no—
1122#67—44no—
1123#67—44no—
1124#67—44no—
1125#67—82no—
1126#67—82no—
1127#67—82no—
1128#67—82no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—44no—
1165C2×Dic3—44no—
1166C2×Dic3—44no—
1167C2×Dic3—82no—
1168C2×Dic3H(5,𝔽2)12yes—
1169D12—44no—
1170D12—44no—
1171D12—82no—
1172D12—82no—
1173C4×D3—44no—
1174C4×D3—44no—
1175Dic6—44no—
1176C24—31no—
1177C24—31no—
1178C24—31no—
1179C24—31no—
1180C24—62no—
1181C24—62no—
1182C24—62no—
1183C24—62no—
1184C24—62no—
1185C24—62no—
1186C24—121no—
1187C24—121no—
1188C24—121no—
1189C24—121no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24—121no—
1194C24C23×D311yescharacteristic
1195C24C23×D311yescharacteristic
1196C24C23×D311yescharacteristic
1197#41—1216no—
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—62no—
1202C2×Q8—121no—
1203C2×Q8—121no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—1216no—
1249C2×D4C2×#6714yes—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4C2×#6714yes—
1294C22×C4C2×#6714yes—
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4C2×#6714yes—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
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—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
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⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4C2×#6714yes—
1399C22⋊C4C2×#6714yes—
1400C42—22no—
1401C42—62no—
1402C42—121no—
1403C42—121no—
1404C42—121no—
1405C42C2×#6714yes—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3#53514yes—
1427C22×C3C23×D411yescharacteristic
1428C22×C3C2×H(5,𝔽2)11yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3C2×H(5,𝔽2)11yescharacteristic
1431C22×C3C2×2−1+411yescharacteristic
1432C22×C3#58511yescharacteristic
1433C22×C3#58511yescharacteristic
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—88no—
1463C2×D3—88no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476Dic3—22no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—32no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—124no—
1534C23—124no—
1535C23—124no—
1536C23—124no—
1537C23—124no—
1538C23—124no—
1539C23—242no—
1540C23—242no—
1541C23—242no—
1542C23—242no—
1543C23—242no—
1544C23—242no—
1545C23—242no—
1546C23—242no—
1547C23#100912yes—
1548C23#100912yes—
1549C23C22×#6712yes—
1550C23C22×#6712yes—
1551C23C24×D311yescharacteristic
1552Q8—82no—
1553Q8—124no—
1554D4—28no—
1555D4—44no—
1556D4—82no—
1557D4—124no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—124no—
1562D4—124no—
1563D4—242no—
1564D4—242no—
1565D4—242no—
1566D4—242no—
1567D4—242no—
1568D4—242no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—32no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—82no—
1640C2×C4—82no—
1641C2×C4—124no—
1642C2×C4—124no—
1643C2×C4—124no—
1644C2×C4—124no—
1645C2×C4—124no—
1646C2×C4—242no—
1647C2×C4C22×#6712yes—
1648C2×C4C22×#6712yes—
1649C2×C4C22×#6712yes—
1650C2×C4C22×#6712yes—
1651C2×C4C22×#6712yes—
1652C2×C3—24no—
1653C2×C3—42no—
1654C2×C3—81no—
1655C2×C3C2×#53511yescharacteristic
1656C2×C3#348911yescharacteristic
1657C2×C3#349611yescharacteristic
1658C2×C3#353411yescharacteristic
1659C2×C3#353511yescharacteristic
1660C2×C3#353611yescharacteristic
1661C2×C3#356011yescharacteristic
1662D3—42no—
1663D3—81no—
1664D3—81no—
1665D3—81no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—62no—
1687C22—62no—
1688C22—62no—
1689C22—121no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—248no—
1715C22—248no—
1716C22#583014yes—
1717C22C2×#100911yescharacteristic
1718C22C2×#100911yescharacteristic
1719C22D3×H(5,𝔽2)11yescharacteristic
1720C22#596611yescharacteristic
1721C22D3×2−1+411yescharacteristic
1722C22#596811yescharacteristic
1723C22C23×#6711yescharacteristic
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—62no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C4—121no—
1747C4—121no—
1748C3#4051711yescharacteristic, complemented, Sylow
1749C2—24no—
1750C2—42no—
1751C2—81no—
1752C2—122no—
1753C2—241no—
1754C2—241no—
1755C2—241no—
1756C2#8643411yescharacteristic
1757C2#8644311yescharacteristic
1758C2#8645811yescharacteristic
1759C2#8646011yescharacteristic
1760C2C2×#583011yescharacteristic
1761C2#8728111yescharacteristic
1762C2#8729511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#539C2
hypercenterC2×#539D3
hypocenterC3#40517
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C3×#539C2semidirect
2. C2×#5554C2semidirect
3. #83114C2semidirect
4. #83113C2semidirect
5. #83112C2semidirect
6. #83097C2semidirect
7. #83071C2semidirect
8. #83070C2semidirect
9. #83051C2semidirect
10. #83040C2semidirect
11. #82911C2semidirect
12. #82907C2semidirect
13. #82901C2semidirect
14. #82894C2semidirect
15. #82893C2semidirect
16. #82881C2semidirect
17. #82859C2semidirect
18. #82841C2semidirect
19. #82827C2semidirect
20. #82822C2semidirect
21. #82821C2semidirect
22. #82797C2semidirect
23. #82771C2semidirect
24. #82769C2semidirect
25. #82702C2semidirect
26. #82651C2semidirect
27. #82414C2semidirect
28. #82352C2semidirect
29. #82335C2semidirect
30. #82199C2semidirect
31. C2×#4994C2semidirect
36. C2×C3×#126C22semidirect
37. C2×C3×#126C22semidirect
38. C2×C3×#125C22semidirect
39. C2×C3×#125C22semidirect
41. C2×C3×#123C22semidirect
42. C2×C3×#123C22semidirect
43. C2×C3×#123C22semidirect
44. C2×C3×C22⋊Q8C22semidirect
45. C2×C3×C22⋊Q8C22semidirect
46. C2×C3×C22⋊Q8C22semidirect
49. C2×C3×C4×D4C22semidirect
50. C22×C3×C4⋊C4C22semidirect
51. C2×#947C22semidirect
53. C2×#939C22semidirect
56. C2×#935C22semidirect
59. C2×#930C22semidirect
61. C2×#929C22semidirect
66. C2×#926C22semidirect
67. C22×C4⋊Dic3C22semidirect
68. C22×Dic3⋊C4C22semidirect
79. #5231C22semidirect
80. #5229C22semidirect
82. #5223C22semidirect
85. #5220C22semidirect
88. #5213C22semidirect
89. #5213C22semidirect
90. #5212C22semidirect
91. #5212C22semidirect
92. #5212C22semidirect
93. C2×C3⋊#95C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4994C22semidirect
105. #4994C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4994C22semidirect
109. #4994C22semidirect
111. #4993C22semidirect
112. #4993C22semidirect
113. #4993C22semidirect
114. #4992C22semidirect
115. #4992C22semidirect
120. #4991C22semidirect
121. #4991C22semidirect
122. #4991C22semidirect
124. #4990C22semidirect
125. #4990C22semidirect
126. #4990C22semidirect
130. #4989C22semidirect
131. #4989C22semidirect
132. #4989C22semidirect
135. #4988C22semidirect
136. #4986C22semidirect
137. #4986C22semidirect
138. #4981C22semidirect
139. #4981C22semidirect
140. #4980C22semidirect
141. #4980C22semidirect
142. #4979C22semidirect
143. #4979C22semidirect
144. #4979C22semidirect
145. #4977C22semidirect
146. #4975C22semidirect
147. #4975C22semidirect
149. #4961C22semidirect
150. #4961C22semidirect
151. #4961C22semidirect
154. #4960C22semidirect
158. #4959C22semidirect
159. #4959C22semidirect
160. #4959C22semidirect
162. #4958C22semidirect
164. #4957C22semidirect
165. #4957C22semidirect
166. #4957C22semidirect
168. #4956C22semidirect
173. #4951C22semidirect
174. #4951C22semidirect
175. #4949C22semidirect
176. #4949C22semidirect
177. #4947C22semidirect
178. #4946C22semidirect
179. #4946C22semidirect
180. #4946C22semidirect
181. #4943C22semidirect
182. Dic3×C22⋊C4C22semidirect
183. Dic3×C22⋊C4C22semidirect
185. #4940C22semidirect
186. #4939C22semidirect
187. #4936C22semidirect
188. C4×C4⋊Dic3C22semidirect
189. #4928C22semidirect
191. C2×#539D3semidirect
270. C3×C4×D4D4semidirect
427. C2×#126C2×D3semidirect
428. C2×#126C2×D3semidirect
429. C2×#125C2×D3semidirect
430. C2×#125C2×D3semidirect
439. C2×#123C2×D3semidirect
440. C2×#123C2×D3semidirect
441. C2×#123C2×D3semidirect
443. C2×C22⋊Q8C2×D3semidirect
444. C2×C22⋊Q8C2×D3semidirect
445. C2×C22⋊Q8C2×D3semidirect
459. C2×C4×D4C2×D3semidirect
463. C22×C4⋊C4C2×D3semidirect
878. C4×D4#67semidirect
1748. C3#40517semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5392
C2×#55542
#831142
#831132
#831122
#830972
#830712
#830702
#830512
#830402
#829112
#829072
#829012
#828942
#828932
#828812
#828592
#828412
#828272
#828222
#828212
#827972
#827712
#827692
#827022
#826512
#824142
#823522
#823352
#821992
C2×#49942
#405173