Finite Group Databasebeta

← #10964014

Subgroups — #10964014

Order 768.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5528C211yesmaximal, characteristic, complemented
2C2×D3×#117C211yesmaximal, characteristic, complemented
3C3×#2293C211yesmaximal, characteristic, complemented
4C4×#937C211yesmaximal, characteristic, complemented
5#82345C211yesmaximal, characteristic, complemented
6#82268C211yesmaximal, characteristic, complemented
7#82268C211yesmaximal, characteristic, complemented
8#76448C211yesmaximal, characteristic, complemented
9#76442C211yesmaximal, characteristic
10#76332C211yesmaximal, characteristic, complemented
11#76330C211yesmaximal, characteristic, complemented
12#76228C211yesmaximal, characteristic, complemented
13#76225C211yesmaximal, characteristic, complemented
14#76025C211yesmaximal, characteristic, complemented
15#76023C211yesmaximal, characteristic, complemented
16#75865C211yesmaximal, characteristic, complemented
17#75864C211yesmaximal, characteristic, complemented
18#75848C211yesmaximal, characteristic, complemented
19#75845C211yesmaximal, characteristic, complemented
20#75542C211yesmaximal, characteristic, complemented
21#75541C211yesmaximal, characteristic, complemented
22#75533C211yesmaximal, characteristic, complemented
23#75530C211yesmaximal, characteristic, complemented
24#73777C211yesmaximal, characteristic, complemented
25C4×#896C211yesmaximal, characteristic, complemented
26#73582C211yesmaximal, characteristic, complemented
27C4×#884C211yesmaximal, characteristic, complemented
28C4×#882C211yesmaximal, characteristic, complemented
29#73480C211yesmaximal, characteristic, complemented
30#73301C211yesmaximal, characteristic, complemented
31C42×D12C211yesmaximal, characteristic, complemented
32#34740—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×#117C2211yescharacteristic
36C2×C3×#117C2211yescharacteristic, complemented
37C2×#937C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic
39C2×C4×#67C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic, complemented
42C2×#926C2211yescharacteristic
43#5528—28no—
44D3×#117—28no—
45C2×#898C2211yescharacteristic
46C2×#896C2211yescharacteristic
47C2×#896C2211yescharacteristic, complemented
48C2×#894C2211yescharacteristic
49C2×#892C2211yescharacteristic
50C2×#892C2211yescharacteristic
51C2×D3×C4⋊C4C2211yescharacteristic
52C2×D3×C4⋊C4C2211yescharacteristic
53C2×#889C2211yescharacteristic, complemented
54C2×#885C2211yescharacteristic
55C2×#884C2211yescharacteristic
56C2×#884C2211yescharacteristic
57C2×#883C2211yescharacteristic, complemented
58C2×#882C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×#879C2211yescharacteristic, complemented
62C2×#877C2211yescharacteristic
63C2×#877C2211yescharacteristic
64C2×C4×D12C2211yescharacteristic
65C2×C4×D12C2211yescharacteristic
66C2×C4×D12C2211yescharacteristic
67C2×C4×D12C2211yescharacteristic
68C2×#872C2211yescharacteristic
69C2×#872C2211yescharacteristic
70C2×C42×D3C2211yescharacteristic
71C2×C42×D3C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic, complemented
73C2×C4×Dic6C2211yescharacteristic, complemented
74C3×#390C2211yescharacteristic
75C3×#390C2211yescharacteristic
76C3×#389C2211yescharacteristic, complemented
77C3×#389C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#388C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×C4×C4⋊C4C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85C3×C43C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5222C2211yescharacteristic
88#5220C2211yescharacteristic
89C4×#217C2211yescharacteristic
90C4×#217C2211yescharacteristic, complemented
91#4994C2211yescharacteristic, complemented
92#4993C2211yescharacteristic, complemented
93#4992C2211yescharacteristic
94#4991C2211yescharacteristic
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4982C2211yescharacteristic, complemented
103#4982C2211yescharacteristic, complemented
104#4980C2211yescharacteristic, complemented
105#4978C2211yescharacteristic, complemented
106#4978C2211yescharacteristic, complemented
107#4978C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic, complemented
112#4959C2211yescharacteristic
113#4959C2211yescharacteristic
114#4958C2211yescharacteristic
115#4957C2211yescharacteristic, complemented
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4952C2211yescharacteristic
126#4952C2211yescharacteristic, complemented
127#4951C2211yescharacteristic, complemented
128#4950C2211yescharacteristic
129#4949C2211yescharacteristic
130#4949C2211yescharacteristic, complemented
131#4948C2211yescharacteristic
132#4948C2211yescharacteristic
133#4948C2211yescharacteristic, complemented
134#4947C2211yescharacteristic
135#4946C2211yescharacteristic
136#4944C2211yescharacteristic
137#4944C2211yescharacteristic
138#4944C2211yescharacteristic, complemented
139#4944C2211yescharacteristic, complemented
140#4940C2211yescharacteristic
141#4940C2211yescharacteristic
142#4940C2211yescharacteristic
143#4940C2211yescharacteristic
144C4×(C2×D3)⋊C4C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic
149C4×(C2×D3)⋊C4C2211yescharacteristic
150C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
151C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
152C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
153C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
154C4×C4⋊Dic3C2211yescharacteristic, complemented
155C4×C4⋊Dic3C2211yescharacteristic, complemented
156C4×C4⋊Dic3C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4933C2211yescharacteristic, complemented
159#4933C2211yescharacteristic, complemented
160#4933C2211yescharacteristic, complemented
161#4932C2211yescharacteristic, complemented
162C4×Dic3⋊C4C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4675C2211yescharacteristic
168#4675C2211yescharacteristic, complemented
169#4674C2211yescharacteristic
170#4672C2211yescharacteristic
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic
175#4667C2211yescharacteristic
176#4667C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#529—31no—
191C22×#117—31no—
192#2481—31no—
193#2480—31no—
194#2479—31no—
195#2478—31no—
196#2477—31no—
197#2476—31no—
198#2475—31no—
199#2474—31no—
200#2473—31no—
201#2472—31no—
202#2471—31no—
203#2470—31no—
204#2449—31no—
205#2443—31no—
206#2424—31no—
207#2418—31no—
208#2396—31no—
209#2395—31no—
210#2395—31no—
211#2392—31no—
212C4×C22⋊Q8—31no—
213C4×#121—31no—
214C4×#120—31no—
215C4×#120—31no—
216#2298—31no—
217#2293D311yescharacteristic, complemented
218#2290—31no—
219#2290—31no—
220C42×D4—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×C4×D3—24no—
233C22×C4×D3—24no—
234C22×C4×D3—24no—
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×C4×D4—24no—
248C3×#117—24no—
249C3×#117—24no—
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#937—24no—
287C4×#67—24no—
288C4×#67—24no—
289C4×#67—24no—
290C4×#67—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315#926—24no—
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352#898—24no—
353#896—24no—
354#896—24no—
355#894—24no—
356#892—24no—
357#892—24no—
358D3×C4⋊C4—24no—
359D3×C4⋊C4—24no—
360#889—24no—
361#885—24no—
362#884—24no—
363#884—24no—
364#883—24no—
365#882—24no—
366D3×C22⋊C4—24no—
367D3×C22⋊C4—24no—
368#879—24no—
369#877—24no—
370#877—24no—
371C4×D12—24no—
372C4×D12—24no—
373C4×D12—24no—
374C4×D12—24no—
375#872—24no—
376#872D418yescomplemented
377C42×D3—24no—
378C42×D3—24no—
379C42×D3—24no—
380C4×Dic6—24no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
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
417C24×C4—31no—
418#529—68no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#124—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×#121—31no—
428C2×#121—31no—
429C2×#120—31no—
430C2×#120—31no—
431C2×C4×Q8—31no—
432C2×C4×D4—31no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×C4×D4—31no—
438C2×C4×D4—31no—
439C2×C4×D4—31no—
440C2×C4×D4C2×D311yescharacteristic
441C2×#117—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117—68no—
449C2×#117C2×D311yescharacteristic
450C2×#117C2×D311yescharacteristic, complemented
451C22×C4⋊C4—31no—
452C22×C4⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456C22×C42—31no—
457C22×C42—31no—
458#400—31no—
459#400—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#393—31no—
489#392—31no—
490#391—31no—
491#390—31no—
492#390C2×D311yescharacteristic
493#390C2×D311yescharacteristic
494#389—31no—
495#389—31no—
496#389C2×D311yescharacteristic, complemented
497#389C2×D311yescharacteristic, complemented
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388C2×D311yescharacteristic
509#388C2×D311yescharacteristic
510#388C2×D311yescharacteristic, complemented
511#388C2×D311yescharacteristic, complemented
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
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#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#380—31no—
547#380—31no—
548#379—31no—
549#379—31no—
550C4×C4⋊C4—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C4⋊C4—31no—
554C4×C4⋊C4—31no—
555C4×C4⋊C4—31no—
556C4×C4⋊C4—31no—
557C4×C4⋊C4C2×D311yescharacteristic, complemented
558C4×C22⋊C4—31no—
559C4×C22⋊C4—31no—
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic
571C4×C22⋊C4C2×D311yescharacteristic, complemented
572#376—31no—
573C43C2×D311yescharacteristic, complemented
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—41no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4#4114yes—
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—41no—
641C2×D12#4114yes—
642C2×C4×D3—232no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3C2×D414yes—
675C2×C4×D3#4114yes—
676C2×Dic6—22no—
677C2×Dic6—22no—
678C2×Dic6—41no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—41no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C42—22no—
697C3×C42—22no—
698C3×C42—22no—
699C3×C42—22no—
700C3×C42—22no—
701C3×C42—22no—
702C3×C42—41no—
703C3×C42—41no—
704C3×C42C2×D414yes—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—41no—
713#217—41no—
714#217—41no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4C2×D414yes—
737(C2×D3)⋊C4C2×D414yes—
738(C2×D3)⋊C4#4114yes—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4C2×D414yes—
763Dic3⋊C4C2×D414yes—
764C4×Dic3—22no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3C2×D414yes—
775C25—31no—
776C22×Q8—31no—
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4C22×D311yescharacteristic
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—64no—
797C23×C4—64no—
798C23×C4—64no—
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801#126—64no—
802#126—64no—
803#125—64no—
804#124—64no—
805#123—64no—
806#123—64no—
807C22⋊Q8—64no—
808C22⋊Q8—64no—
809#121—64no—
810#121—64no—
811#120—64no—
812#120—64no—
813C4×Q8—64no—
814C4×D4—24no—
815C4×D4—64no—
816C4×D4—64no—
817C4×D4—64no—
818C4×D4—64no—
819C4×D4—64no—
820C4×D4—64no—
821C4×D4—64no—
822C4×D4—64no—
823#117—24no—
824#117—24no—
825#117—38no—
826#117—64no—
827#117—64no—
828#117—64no—
829#117—64no—
830#117—64no—
831#117—64no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—64no—
858C2×C4⋊C4—64no—
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—64no—
901C2×C22⋊C4—64no—
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C42—31no—
913C2×C42—31no—
914C2×C42—31no—
915C2×C42—31no—
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—64no—
924C2×C42—64no—
925C2×C42—64no—
926C2×C42C22×D311yescharacteristic
927C2×C42C22×D311yescharacteristic
928C2×C42C22×D311yescharacteristic
929C2×C42C22×D311yescharacteristic
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3C2×#4112yes—
985C23×C3C2511yescharacteristic
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—28no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—44no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3C22×D412yes—
1010C22×D3C2×#4112yes—
1011C22×D3C2×#4112yes—
1012C22×D3C2×#4112yes—
1013C22×D3C2×#4112yes—
1014C3×D4—44no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—28no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—44no—
1048C2×C3×C4C22×D412yes—
1049C2×C3×C4C22×D412yes—
1050C2×C3×C4C22×D412yes—
1051C2×C3×C4C2×#4112yes—
1052C2×C3×C4C2×#4112yes—
1053C2×C3×C4C2×#4112yes—
1054C2×C3×C4C2×#4112yes—
1055C2×C3×C4C2×#4112yes—
1056#67—44no—
1057#67—44no—
1058#67—44no—
1059#67—44no—
1060C2×Dic3—28no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3C22×D412yes—
1096C2×Dic3C22×D412yes—
1097C2×Dic3C22×D412yes—
1098C2×Dic3C2×#4112yes—
1099C2×Dic3C2×#4112yes—
1100D12—28no—
1101D12—44no—
1102C4×D3—28no—
1103C4×D3—28no—
1104C4×D3—28no—
1105C4×D3—28no—
1106C4×D3—44no—
1107C4×D3—44no—
1108C4×D3—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113Dic6—44no—
1114C24—31no—
1115C24—31no—
1116C24—31no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24—62no—
1121C24—62no—
1122C24—121no—
1123C24—121no—
1124C24C23×D311yescharacteristic
1125C24C23×D311yescharacteristic
1126C2×Q8—62no—
1127C2×Q8—62no—
1128C2×Q8—121no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—34no—
1132C2×D4—41no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—34no—
1161C22×C4—34no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—632no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4#23514yes—
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—34no—
1226C4⋊C4—34no—
1227C4⋊C4—41no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—34no—
1260C22⋊C4—34no—
1261C22⋊C4—34no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
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—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—34no—
1302C42—41no—
1303C42—41no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—62no—
1312C42—62no—
1313C42—62no—
1314C42D3×D414yes—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3C23×D411yescharacteristic
1330C22×C3C22×#4111yescharacteristic
1331C22×C3C22×#4111yescharacteristic
1332C22×C3C22×#4111yescharacteristic
1333C22×C3C22×#4111yescharacteristic
1334C22×C3#58511yescharacteristic
1335C22×C3#58511yescharacteristic
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—416no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3#52914yescomplemented
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—22no—
1362C3×C4—22no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4#52514yes—
1371Dic3—22no—
1372Dic3—22no—
1373Dic3—22no—
1374Dic3—22no—
1375Dic3—22no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—32no—
1398C23—32no—
1399C23—32no—
1400C23—32no—
1401C23—32no—
1402C23—68no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23—124no—
1425C23C2×#23512yes—
1426C23C24×D311yescharacteristic
1427Q8—124no—
1428D4—44no—
1429D4—68no—
1430D4—124no—
1431D4—124no—
1432D4—124no—
1433D4—124no—
1434D4—124no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—28no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—32no—
1468C2×C4—32no—
1469C2×C4—32no—
1470C2×C4—32no—
1471C2×C4—32no—
1472C2×C4—44no—
1473C2×C4—68no—
1474C2×C4—68no—
1475C2×C4—68no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—68no—
1487C2×C4—68no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—124no—
1513C2×C4—124no—
1514C2×C4—124no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4C2×#23512yes—
1520C2×C4C2×#23512yes—
1521C2×C4C2×D3×D412yes—
1522C2×C4C2×D3×D412yes—
1523C2×C4C2×D3×D412yes—
1524C2×C4D3×#4112yes—
1525C2×C4D3×#4112yes—
1526C2×C4D3×#4112yes—
1527C2×C3—42no—
1528C2×C3—81no—
1529C2×C3C2×#52511yescharacteristic
1530C2×C3C2×#52911yescharacteristic
1531C2×C3#345511yescharacteristic
1532C2×C3D4×#4111yescharacteristic
1533C2×C3D4×#4111yescharacteristic
1534C2×C3#347511yescharacteristic
1535C2×C3#347511yescharacteristic
1536D3—24no—
1537D3—42no—
1538D3—42no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—34no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—62no—
1555C22—62no—
1556C22—62no—
1557C22—62no—
1558C22—62no—
1559C22—62no—
1560C22—62no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—1216no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22C22×#23511yescharacteristic
1576C22C22×D3×D411yescharacteristic
1577C22C2×D3×#4111yescharacteristic
1578C22C2×D3×#4111yescharacteristic
1579C22C2×D3×#4111yescharacteristic
1580C22#596411yescharacteristic
1581C22#596411yescharacteristic
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—62no—
1595C4—62no—
1596C4—62no—
1597C4—62no—
1598C4—62no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4#554714yes—
1608C3#3474011yescharacteristic, complemented, Sylow
1609C2—42no—
1610C2—64no—
1611C2—81no—
1612C2—122no—
1613C2—122no—
1614C2#8574411yescharacteristic
1615C2C2×#554711yescharacteristic
1616C2#8584011yescharacteristic
1617C2D3×#52911yescharacteristic
1618C2#8614611yescharacteristic
1619C2#8623811yescharacteristic
1620C2#8623811yescharacteristic
subgroupG/H
centerC22×C4C23×D3
commutator, socle, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC3×#2293C2
prime radical#76442C2
hypercenter#2293D3
hypocenterC3#34740
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ #2293

Complements

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

NH ≅ G/Ntype
1. C2×#5528C2semidirect
2. C2×D3×#117C2semidirect
3. C3×#2293C2semidirect
4. C4×#937C2semidirect
5. #82345C2semidirect
6. #82268C2semidirect
7. #82268C2semidirect
8. #76448C2semidirect
10. #76332C2semidirect
11. #76330C2semidirect
12. #76228C2semidirect
13. #76225C2semidirect
14. #76025C2semidirect
15. #76023C2semidirect
16. #75865C2semidirect
17. #75864C2semidirect
18. #75848C2semidirect
19. #75845C2semidirect
20. #75542C2semidirect
21. #75541C2semidirect
22. #75533C2semidirect
23. #75530C2semidirect
24. #73777C2semidirect
25. C4×#896C2semidirect
26. #73582C2semidirect
27. C4×#884C2semidirect
28. C4×#882C2semidirect
29. #73480C2semidirect
30. #73301C2semidirect
31. C42×D12C2semidirect
36. C2×C3×#117C22semidirect
41. C2×C4×#67C22semidirect
47. C2×#896C22semidirect
53. C2×#889C22semidirect
57. C2×#883C22semidirect
61. C2×#879C22semidirect
72. C2×C42×D3C22semidirect
73. C2×C4×Dic6C22semidirect
76. C3×#389C22semidirect
77. C3×#389C22semidirect
80. C3×#388C22semidirect
81. C3×#388C22semidirect
82. C3×C4×C4⋊C4C22semidirect
84. C3×C4×C22⋊C4C22semidirect
85. C3×C43C22semidirect
90. C4×#217C22semidirect
91. #4994C22semidirect
92. #4993C22semidirect
100. #4989C22semidirect
101. #4989C22semidirect
102. #4982C22semidirect
103. #4982C22semidirect
104. #4980C22semidirect
105. #4978C22semidirect
106. #4978C22semidirect
107. #4978C22semidirect
108. #4978C22semidirect
109. #4976C22semidirect
111. #4961C22semidirect
115. #4957C22semidirect
126. #4952C22semidirect
127. #4951C22semidirect
130. #4949C22semidirect
133. #4948C22semidirect
138. #4944C22semidirect
139. #4944C22semidirect
150. C4×(C2×D3)⋊C4C22semidirect
151. C4×(C2×D3)⋊C4C22semidirect
152. C4×(C2×D3)⋊C4C22semidirect
153. C4×(C2×D3)⋊C4C22semidirect
154. C4×C4⋊Dic3C22semidirect
155. C4×C4⋊Dic3C22semidirect
156. C4×C4⋊Dic3C22semidirect
157. #4933C22semidirect
158. #4933C22semidirect
159. #4933C22semidirect
160. #4933C22semidirect
161. #4932C22semidirect
162. C4×Dic3⋊C4C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. C4×Dic3⋊C4C22semidirect
168. #4675C22semidirect
171. #4669C22semidirect
180. #4661C22semidirect
181. #4660C22semidirect
182. #4660C22semidirect
183. #4658C22semidirect
184. #4657C22semidirect
185. #4657C22semidirect
186. #4656C22semidirect
187. #4652C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
217. #2293D3semidirect
376. #872D4semidirect
450. C2×#117C2×D3semidirect
496. #389C2×D3semidirect
497. #389C2×D3semidirect
510. #388C2×D3semidirect
511. #388C2×D3semidirect
557. C4×C4⋊C4C2×D3semidirect
571. C4×C22⋊C4C2×D3semidirect
573. C43C2×D3semidirect
1357. C2×D3#529semidirect
1608. C3#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#55282
C2×D3×#1172
C3×#22932
C4×#9372
#823452
#822682
#764482
#764422
#763322
#763302
#762282
#762252
#760252
#760232
#758652
#758642
#758482
#758452
#755422
#755412
#755332
#755302
#737772
C4×#8962
#735822
C4×#8842
C4×#8822
#734802
#733012
C42×D122
#347403