Finite Group Databasebeta

← #11024863

Subgroups — #11024863

Order 768.

2900 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#121C211yesmaximal, characteristic
2C2×#5564C211yesmaximal, characteristic, complemented
3C3×#2443C211yesmaximal, characteristic, complemented
4#82893C211yesmaximal, characteristic, complemented
5#82872C211yesmaximal, characteristic, complemented
6#82645C211yesmaximal, characteristic, complemented
7D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
8#82195C211yesmaximal, characteristic, complemented
9C2×#4989C211yesmaximal, characteristic, complemented
10#78102C211yesmaximal, characteristic, complemented
11#78067C211yesmaximal, characteristic, complemented
12#77970C211yesmaximal, characteristic, complemented
13#77757C211yesmaximal, characteristic, complemented
14#77700C211yesmaximal, characteristic, complemented
15#77482C211yesmaximal, characteristic, complemented
16#77106C211yesmaximal, characteristic, complemented
17#77014C211yesmaximal, characteristic, complemented
18#75929C211yesmaximal, characteristic, complemented
19#75539C211yesmaximal, characteristic, complemented
20#75150C211yesmaximal, characteristic, complemented
21#75008C211yesmaximal, characteristic, complemented
22#74878C211yesmaximal, characteristic, complemented
23#74785C211yesmaximal, characteristic, complemented
24#74781C211yesmaximal, characteristic, complemented
25#74686C211yesmaximal, characteristic, complemented
26#74686C211yesmaximal, characteristic, complemented
27#74666C211yesmaximal, characteristic, complemented
28#74655C211yesmaximal, characteristic, complemented
29#74637C211yesmaximal, characteristic, complemented
30#74607C211yesmaximal, characteristic, complemented
31#74410C211yesmaximal, characteristic, complemented
32#37692—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic, complemented
40C22×C3×C4⋊C4C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#935C2211yescharacteristic, complemented
45C2×#935C2211yescharacteristic, complemented
46C2×D4×Dic3C2211yescharacteristic, complemented
47C2×#930C2211yescharacteristic
48C2×#929C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C2×#924C2211yescharacteristic, complemented
54C22×Dic3⋊C4C2211yescharacteristic, complemented
55D3×#121—28no—
56#5564—28no—
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic
61C2×#894C2211yescharacteristic, complemented
62C2×D3×C4⋊C4C2211yescharacteristic
63C2×#889C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic, complemented
65C2×#886C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#883C2211yescharacteristic, complemented
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#879C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C2×#876C2211yescharacteristic, complemented
76C2×#870C2211yescharacteristic, complemented
77C3×#399C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88#5222C2211yescharacteristic, complemented
89#5220C2211yescharacteristic, complemented
90#5220C2211yescharacteristic, complemented
91#5213C2211yescharacteristic, complemented
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5210C2211yescharacteristic, complemented
96C2×C3⋊#95C2211yescharacteristic, complemented
97C2×C3⋊#95C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4993C2211yescharacteristic, complemented
100#4992C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4990C2211yescharacteristic, complemented
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic, complemented
116#4987C2211yescharacteristic
117#4987C2211yescharacteristic, complemented
118#4984C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic
145#4952C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4946C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156#4939C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic
158#4676C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4667C2211yescharacteristic
177#4667C2211yescharacteristic
178#4667C2211yescharacteristic, complemented
179#4666C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×#121—31no—
192#2848—31no—
193#2711—31no—
194#2711—31no—
195#2708—31no—
196#2708—31no—
197#2691—31no—
198#2691—31no—
199#2681—31no—
200#2681—31no—
201#2639—31no—
202#2618—31no—
203#2480—31no—
204#2480—31no—
205#2473—31no—
206#2473—31no—
207#2443—31no—
208#2443D311yescharacteristic, complemented
209#2437—31no—
210#2437—31no—
211#2425—31no—
212#2425—31no—
213#2405—31no—
214#2405—31no—
215#2405—31no—
216#2405—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2325—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×D3×D4—24no—
242C2×D3×D4—24no—
243C2×D3×D4—24no—
244C2×D3×D4—24no—
245C2×D3×D4—24no—
246C2×D3×D4—42no—
247C2×D3×D4—42no—
248C2×D3×D4—42no—
249C2×D3×D4—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×C4×D3—24no—
254C22×C4×D3—42no—
255C22×C4×D3—42no—
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C3×#123—42no—
266C3×#121—24no—
267C3×C4×D4—24no—
268C2×C3×C4⋊C4—42no—
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊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×C42C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300#939—24no—
301#939D418yes—
302#938—24no—
303#935—24no—
304#935—42no—
305D4×Dic3—42no—
306#930—24no—
307#929—24no—
308C4×#67—24no—
309C2×(C2×D3)⋊C4—24no—
310C2×(C2×D3)⋊C4—42no—
311C2×(C2×D3)⋊C4—42no—
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(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×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353#924—24no—
354C2×Dic3⋊C4—24no—
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#896—24no—
377#896—42no—
378#896—42no—
379#895—24no—
380#894—42no—
381D3×C4⋊C4—24no—
382#889—24no—
383#886—24no—
384#886—42no—
385#884—24no—
386#884—24no—
387#883—24no—
388#67⋊C4—42no—
389D3×C22⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—42no—
392#879—24no—
393#878—24no—
394#876—24no—
395#870—24no—
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
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#539—68no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#125—31no—
434C2×#125—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123C2×D311yescharacteristic, complemented
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—68no—
456C2×#121C2×D311yescharacteristic
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4C2×D311yescharacteristic, complemented
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—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470#400—31no—
471#400—31no—
472#399—31no—
473#399C2×D311yescharacteristic, complemented
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398C2×D311yescharacteristic, complemented
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397C2×D311yescharacteristic, complemented
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#394—31no—
507#394C2×D311yescharacteristic, complemented
508#393—31no—
509#393—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387C2×D311yescharacteristic, complemented
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386C2×D311yescharacteristic, complemented
540#386C2×D311yescharacteristic, complemented
541#386C2×D311yescharacteristic, complemented
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385C2×D311yescharacteristic, complemented
563#385C2×D311yescharacteristic, complemented
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C2×#95—31no—
582C2×#95—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3—22no—
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—22no—
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#4114yes—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—41no—
619C2×C3×D4C2×D414yes—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67C2×D414yes—
661C2×#67C2×D414yes—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3C2×D414yes—
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686D3×D4—416no—
687D3×D4—416no—
688D3×D4—416no—
689C2×D12—22no—
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×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—416no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×Dic6—22no—
724C2×Dic6—41no—
725C2×Dic6—41no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—41no—
732C3×C4⋊C4—41no—
733C3×C4⋊C4—41no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C42—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217C2×D414yes—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
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—
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)⋊C4C2×D414yes—
791C4⋊Dic3—22no—
792C4⋊Dic3—22no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—41no—
796C4⋊Dic3—41no—
797C4⋊Dic3—41no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4C2×D414yes—
816C4×Dic3—22no—
817C4×Dic3—41no—
818C4×Dic3—41no—
819C25—31no—
820C25—31no—
821C25—31no—
822C22×Q8—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—64no—
833C22×D4—64no—
834C22×D4—64no—
835C22×D4—64no—
836C22×D4—64no—
837C22×D4—122no—
838C22×D4—122no—
839C22×D4—122no—
840C22×D4—122no—
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—64no—
857C23×C4—122no—
858C23×C4—122no—
859C23×C4C22×D311yescharacteristic
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862C23×C4C22×D311yescharacteristic
863#126—64no—
864#126—64no—
865#125—64no—
866#125—64no—
867#123—42no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—122no—
873#123—122no—
874#123—122no—
875C22⋊Q8—64no—
876C22⋊Q8—64no—
877C22⋊Q8—64no—
878C22⋊Q8—122no—
879C22⋊Q8—122no—
880#121—24no—
881#121—38no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888C4×D4—24no—
889C4×D4—64no—
890C4×D4—122no—
891C4×D4—122no—
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—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
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—42no—
918C2×C4⋊C4—64no—
919C2×C4⋊C4—64no—
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
974C2×C22⋊C4—64no—
975C2×C22⋊C4—64no—
976C2×C22⋊C4—122no—
977C2×C22⋊C4—122no—
978C2×C22⋊C4—122no—
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42C22×D311yescharacteristic
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—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
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×C3C22×D412yes—
1042C23×C3C22×D412yes—
1043C23×C3C2×#4112yes—
1044C23×C3H(5,𝔽2)12yes—
1045C23×C3C2511yescharacteristic
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—28no—
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—21no—
1062C22×D3—21no—
1063C22×D3—28no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—44no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—44no—
1075C22×D3—44no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—44no—
1083C22×D3—44no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3C22×D412yes—
1091C22×D3C2×#4112yes—
1092C22×D3C2×#4112yes—
1093C22×D3H(5,𝔽2)12yes—
1094C22×D32−1+412yes—
1095C3×D4—28no—
1096C3×D4—44no—
1097C3×D4—44no—
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—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—44no—
1133C2×C3×C4—44no—
1134C2×C3×C4—82no—
1135C2×C3×C4—82no—
1136C2×C3×C4C22×D412yes—
1137C2×C3×C4H(5,𝔽2)12yes—
1138#67—28no—
1139#67—44no—
1140#67—44no—
1141#67—44no—
1142#67—44no—
1143#67—44no—
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—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—44no—
1178C2×Dic3—44no—
1179C2×Dic3—82no—
1180C2×Dic3—82no—
1181C2×Dic3C22×D412yes—
1182C2×Dic3C22×D412yes—
1183C2×Dic3C22×D412yes—
1184D12—44no—
1185D12—44no—
1186D12—44no—
1187C4×D3—28no—
1188C4×D3—44no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—82no—
1194C4×D3—82no—
1195Dic6—82no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—34no—
1200C24—31no—
1201C24—62no—
1202C24—62no—
1203C24—62no—
1204C24—62no—
1205C24—62no—
1206C24—62no—
1207C24—62no—
1208C24—62no—
1209C24—62no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24C23×D311yescharacteristic
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C2×Q8—62no—
1225C2×Q8—121no—
1226C2×Q8—121no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—34no—
1235C2×D4—34no—
1236C2×D4—41no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—1216no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—1216no—
1264C2×D4—1216no—
1265C2×D4D3×D414yes—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—34no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—1216no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—34no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
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—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—34no—
1378C22⋊C4—34no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—62no—
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—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
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—
1428C42—22no—
1429C42—62no—
1430C42—121no—
1431C42—121no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3#54614yes—
1453C22×C3C23×D411yescharacteristic
1454C22×C3C22×#4111yescharacteristic
1455C22×C3C2×H(5,𝔽2)11yescharacteristic
1456C22×C3C2×H(5,𝔽2)11yescharacteristic
1457C22×C3C2×H(5,𝔽2)11yescharacteristic
1458C22×C3C2×2−1+411yescharacteristic
1459C22×C3#58511yescharacteristic
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—416no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—88no—
1489C2×D3—88no—
1490C2×D3#53914yescomplemented
1491C3×C4—22no—
1492C3×C4—22no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503Dic3—22no—
1504Dic3—22no—
1505Dic3—22no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—32no—
1533C23—32no—
1534C23—32no—
1535C23—32no—
1536C23—32no—
1537C23—68no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—68no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—124no—
1563C23—124no—
1564C23—124no—
1565C23—124no—
1566C23—124no—
1567C23—124no—
1568C23—124no—
1569C23—124no—
1570C23—124no—
1571C23—124no—
1572C23—124no—
1573C23—124no—
1574C23—124no—
1575C23—242no—
1576C23—242no—
1577C23—242no—
1578C23—242no—
1579C23—242no—
1580C23—242no—
1581C23C2×D3×D412yes—
1582C23C2×D3×D412yes—
1583C23D3×#4112yes—
1584C23#100912yes—
1585C23C24×D311yescharacteristic
1586Q8—242no—
1587D4—28no—
1588D4—44no—
1589D4—44no—
1590D4—68no—
1591D4—124no—
1592D4—124no—
1593D4—124no—
1594D4—124no—
1595D4—124no—
1596D4—124no—
1597D4—124no—
1598D4—124no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—32no—
1634C2×C4—32no—
1635C2×C4—32no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—68no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
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—82no—
1673C2×C4—82no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—124no—
1679C2×C4—124no—
1680C2×C4—124no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4—242no—
1684C2×C4—242no—
1685C2×C4C2×D3×D412yes—
1686C2×C4#100412yes—
1687C2×C3—24no—
1688C2×C3—42no—
1689C2×C3—81no—
1690C2×C3C2×#53911yescharacteristic
1691C2×C3C2×#54611yescharacteristic
1692C2×C3#348411yescharacteristic
1693C2×C3#348911yescharacteristic
1694C2×C3#350511yescharacteristic
1695C2×C3#353411yescharacteristic
1696C2×C3#353611yescharacteristic
1697D3—24no—
1698D3—42no—
1699D3—42no—
1700D3—81no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—34no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—62no—
1723C22—62no—
1724C22—62no—
1725C22—62no—
1726C22—62no—
1727C22—62no—
1728C22—62no—
1729C22—62no—
1730C22—62no—
1731C22—62no—
1732C22—62no—
1733C22—62no—
1734C22—1216no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—248no—
1751C22—248no—
1752C22#565414yes—
1753C22C22×D3×D411yescharacteristic
1754C22C2×#100411yescharacteristic
1755C22C2×D3×#4111yescharacteristic
1756C22C2×#100911yescharacteristic
1757C22#596411yescharacteristic
1758C22D3×H(5,𝔽2)11yescharacteristic
1759C22D3×2−1+411yescharacteristic
1760C4—22no—
1761C4—22no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—62no—
1773C4—62no—
1774C4—62no—
1775C4—121no—
1776C4—121no—
1777C4—121no—
1778C4—121no—
1779C4—121no—
1780C4—121no—
1781C4—121no—
1782C4—121no—
1783C4—121no—
1784C3#3769211yescharacteristic, complemented, Sylow
1785C2—24no—
1786C2—42no—
1787C2—64no—
1788C2—81no—
1789C2—122no—
1790C2—122no—
1791C2—241no—
1792C2C2×#565411yescharacteristic
1793C2#8604411yescharacteristic
1794C2D3×#53911yescharacteristic
1795C2#8662011yescharacteristic
1796C2#8667711yescharacteristic
1797C2#8673911yescharacteristic
1798C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2443C2
prime radicalC2×D3×#121C2
hypercenter#2443D3
hypocenterC3#37692
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
2. C2×#5564C2semidirect
3. C3×#2443C2semidirect
4. #82893C2semidirect
5. #82872C2semidirect
6. #82645C2semidirect
7. D4×(C2×D3)⋊C4C2semidirect
8. #82195C2semidirect
9. C2×#4989C2semidirect
10. #78102C2semidirect
11. #78067C2semidirect
12. #77970C2semidirect
13. #77757C2semidirect
14. #77700C2semidirect
15. #77482C2semidirect
16. #77106C2semidirect
17. #77014C2semidirect
18. #75929C2semidirect
19. #75539C2semidirect
20. #75150C2semidirect
21. #75008C2semidirect
22. #74878C2semidirect
23. #74785C2semidirect
24. #74781C2semidirect
25. #74686C2semidirect
26. #74686C2semidirect
27. #74666C2semidirect
28. #74655C2semidirect
29. #74637C2semidirect
30. #74607C2semidirect
31. #74410C2semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×C4×D4C22semidirect
40. C22×C3×C4⋊C4C22semidirect
44. C2×#935C22semidirect
45. C2×#935C22semidirect
46. C2×D4×Dic3C22semidirect
48. C2×#929C22semidirect
49. C2×C4×#67C22semidirect
53. C2×#924C22semidirect
54. C22×Dic3⋊C4C22semidirect
58. C2×#896C22semidirect
59. C2×#896C22semidirect
61. C2×#894C22semidirect
63. C2×#889C22semidirect
64. C2×#886C22semidirect
65. C2×#886C22semidirect
68. C2×#883C22semidirect
69. C2×#67⋊C4C22semidirect
73. C2×#879C22semidirect
74. C2×#878C22semidirect
75. C2×#876C22semidirect
76. C2×#870C22semidirect
77. C3×#399C22semidirect
78. C3×#398C22semidirect
79. C3×#397C22semidirect
80. C3×#394C22semidirect
81. C3×#388C22semidirect
82. C3×#387C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
86. C3×#385C22semidirect
87. C3×#385C22semidirect
88. #5222C22semidirect
89. #5220C22semidirect
90. #5220C22semidirect
91. #5213C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5210C22semidirect
96. C2×C3⋊#95C22semidirect
97. C2×C3⋊#95C22semidirect
98. #4994C22semidirect
99. #4993C22semidirect
100. #4992C22semidirect
101. #4991C22semidirect
102. #4991C22semidirect
103. #4990C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4988C22semidirect
117. #4987C22semidirect
118. #4984C22semidirect
119. #4982C22semidirect
120. #4982C22semidirect
121. #4980C22semidirect
122. #4976C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4956C22semidirect
145. #4952C22semidirect
146. #4952C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4947C22semidirect
151. #4946C22semidirect
152. #4945C22semidirect
153. #4945C22semidirect
154. #4942C22semidirect
155. #4942C22semidirect
156. #4939C22semidirect
158. #4676C22semidirect
159. #4676C22semidirect
160. #4675C22semidirect
161. #4674C22semidirect
162. #4673C22semidirect
163. #4672C22semidirect
164. #4672C22semidirect
165. #4672C22semidirect
166. #4672C22semidirect
167. #4670C22semidirect
168. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
178. #4667C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4661C22semidirect
184. #4660C22semidirect
185. #4658C22semidirect
186. #4657C22semidirect
187. #4657C22semidirect
188. #4655C22semidirect
189. #4652C22semidirect
208. #2443D3semidirect
442. C2×#123C2×D3semidirect
460. C2×C4×D4C2×D3semidirect
463. C22×C4⋊C4C2×D3semidirect
473. #399C2×D3semidirect
479. #398C2×D3semidirect
485. #397C2×D3semidirect
507. #394C2×D3semidirect
521. #388C2×D3semidirect
525. #387C2×D3semidirect
539. #386C2×D3semidirect
540. #386C2×D3semidirect
541. #386C2×D3semidirect
562. #385C2×D3semidirect
563. #385C2×D3semidirect
1490. C2×D3#539semidirect
1784. C3#37692semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1212
C2×#55642
C3×#24432
#828932
#828722
#826452
D4×(C2×D3)⋊C42
#821952
C2×#49892
#781022
#780672
#779702
#777572
#777002
#774822
#771062
#770142
#759292
#755392
#751502
#750082
#748782
#747852
#747812
#746862
#746662
#746552
#746372
#746072
#744102
#376923