Finite Group Databasebeta

← #10964002

Subgroups — #10964002

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×#5538C211yesmaximal, characteristic, complemented
2C2×D3×#117C211yesmaximal, characteristic, complemented
3C3×#2392C211yesmaximal, characteristic, complemented
4C4×#938C211yesmaximal, characteristic, complemented
5C4×#937C211yesmaximal, characteristic, complemented
6C4×#937C211yesmaximal, characteristic, complemented
7#82319C211yesmaximal, characteristic, complemented
8#82318C211yesmaximal, characteristic, complemented
9#82245C211yesmaximal, characteristic, complemented
10#77761C211yesmaximal, characteristic, complemented
11#77757C211yesmaximal, characteristic, complemented
12#77481C211yesmaximal, characteristic, complemented
13#77476C211yesmaximal, characteristic, complemented
14#77419C211yesmaximal, characteristic, complemented
15#77304C211yesmaximal, characteristic, complemented
16#77301C211yesmaximal, characteristic, complemented
17#77299C211yesmaximal, characteristic, complemented
18#77117C211yesmaximal, characteristic, complemented
19#77112C211yesmaximal, characteristic, complemented
20#76932C211yesmaximal, characteristic, complemented
21#76931C211yesmaximal, characteristic, complemented
22#76929C211yesmaximal, characteristic, complemented
23#76925C211yesmaximal, characteristic, complemented
24#76756C211yesmaximal, characteristic
25#76685C211yesmaximal, characteristic, complemented
26C4×#897C211yesmaximal, characteristic, complemented
27#73620C211yesmaximal, characteristic, complemented
28#73582C211yesmaximal, characteristic, complemented
29#73582C211yesmaximal, characteristic, complemented
30#73562C211yesmaximal, characteristic, complemented
31C4×#67⋊C4C211yesmaximal, characteristic, complemented
32#34740—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C2×C3×#117C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic, complemented
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×#926C2211yescharacteristic
48C2×#926C2211yescharacteristic, complemented
49C22×C4×Dic3C2211yescharacteristic, complemented
50#5538—28no—
51D3×#117—28no—
52C2×#898C2211yescharacteristic
53C2×#897C2211yescharacteristic
54C2×#892C2211yescharacteristic
55C2×#892C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#889C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#885C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×#879C2211yescharacteristic, complemented
66C2×#878C2211yescharacteristic, complemented
67C2×#877C2211yescharacteristic
68C2×#877C2211yescharacteristic
69C2×#872C2211yescharacteristic
70C2×#872C2211yescharacteristic
71C2×C42×D3C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic
73C2×C4×Dic6C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#396C2211yescharacteristic, complemented
77C3×#396C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic
80C3×#394C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic
82C3×C4×C4⋊C4C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic, complemented
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85#5221C2211yescharacteristic
86#5221C2211yescharacteristic
87#5221C2211yescharacteristic, complemented
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92C4×#217C2211yescharacteristic
93C4×#217C2211yescharacteristic
94C4×#217C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96#4990C2211yescharacteristic
97#4990C2211yescharacteristic
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic
104#4986C2211yescharacteristic, complemented
105#4984C2211yescharacteristic, complemented
106#4984C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4982C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4979C2211yescharacteristic, complemented
113#4978C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4973C2211yescharacteristic, complemented
116#4972C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4952C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4951C2211yescharacteristic
134#4951C2211yescharacteristic
135#4951C2211yescharacteristic
136#4951C2211yescharacteristic
137#4951C2211yescharacteristic, complemented
138#4951C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4950C2211yescharacteristic, complemented
141#4949C2211yescharacteristic
142#4949C2211yescharacteristic, complemented
143#4949C2211yescharacteristic, complemented
144#4948C2211yescharacteristic
145#4948C2211yescharacteristic
146#4947C2211yescharacteristic
147#4946C2211yescharacteristic
148#4946C2211yescharacteristic
149#4945C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154Dic3×C22⋊C4C2211yescharacteristic, complemented
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic
157C4×(C2×D3)⋊C4C2211yescharacteristic
158C4×(C2×D3)⋊C4C2211yescharacteristic
159C4×C4⋊Dic3C2211yescharacteristic, complemented
160C4×C4⋊Dic3C2211yescharacteristic, complemented
161C4×C4⋊Dic3C2211yescharacteristic, complemented
162#4932C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165C42×Dic3C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4675C2211yescharacteristic
168#4674C2211yescharacteristic
169#4674C2211yescharacteristic
170#4670C2211yescharacteristic
171#4670C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic
175#4668C2211yescharacteristic
176#4666C2211yescharacteristic
177#4666C2211yescharacteristic
178#4658C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4649C2211yescharacteristic, 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#2392D311yescharacteristic, complemented
212C4×C22⋊Q8—31no—
213C4×#121—31no—
214C4×#120—31no—
215C4×#120—31no—
216#2298—31no—
217#2293—31no—
218#2290—31no—
219#2290—31no—
220C42×D4—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C22×C4×D3—24no—
236C22×C4×D3—24no—
237C22×C4×D3—24no—
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×C4×D4—24no—
249C3×C4×D4—24no—
250C3×#117—24no—
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×C4⋊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×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290#939—24no—
291#938—24no—
292#937—24no—
293#937—24no—
294#935—24no—
295C4×#67—24no—
296C4×#67—24no—
297C4×#67—24no—
298C4×#67—24no—
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—
316#926—24no—
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
342C2×C4×Dic3—24no—
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
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#898—24no—
360#897—24no—
361#892—24no—
362#892—24no—
363D3×C4⋊C4—24no—
364D3×C4⋊C4—24no—
365#889—24no—
366#886—24no—
367#885—24no—
368#67⋊C4—24no—
369#67⋊C4—24no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—24no—
372#879—24no—
373#878—24no—
374#877—24no—
375#877—24no—
376#872—24no—
377#872D418yescomplemented
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×D4C2×D311yescharacteristic
439C2×C4×D4C2×D311yescharacteristic
440C2×C4×D4C2×D311yescharacteristic, complemented
441C2×#117—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117—31no—
449C2×#117—68no—
450C2×#117C2×D311yescharacteristic
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#398C2×D311yescharacteristic, complemented
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397C2×D311yescharacteristic
476#396—31no—
477#396—31no—
478#396C2×D311yescharacteristic, complemented
479#396C2×D311yescharacteristic, complemented
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394C2×D311yescharacteristic
486#394C2×D311yescharacteristic
487#394C2×D311yescharacteristic, complemented
488#393—31no—
489#392C2×D311yescharacteristic
490#391—31no—
491#390—31no—
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
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#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
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, complemented
571C4×C22⋊C4C2×D311yescharacteristic, complemented
572#376—31no—
573C43—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4#4114yes—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67#4114yes—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C2×C4×D3—232no—
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—22no—
669C2×C4×D3—22no—
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—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C42—22no—
699C3×C42—22no—
700C3×C42—22no—
701C3×C42C2×D414yes—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
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—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4C2×D414yes—
732(C2×D3)⋊C4C2×D414yes—
733(C2×D3)⋊C4#4114yes—
734C4⋊Dic3—22no—
735C4⋊Dic3—22no—
736C4⋊Dic3—22no—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—41no—
743C4⋊Dic3—41no—
744C4⋊Dic3—41no—
745Dic3⋊C4—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—41no—
756Dic3⋊C4—41no—
757Dic3⋊C4C2×D414yes—
758Dic3⋊C4C2×D414yes—
759C4×Dic3—22no—
760C4×Dic3—22no—
761C4×Dic3—22no—
762C4×Dic3—22no—
763C4×Dic3—22no—
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—41no—
773C4×Dic3—41no—
774C4×Dic3C2×D414yes—
775C25—31no—
776C22×Q8—31no—
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4C22×D311yescharacteristic
782C22×D4C22×D311yescharacteristic
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—64no—
796C23×C4—64no—
797C23×C4—64no—
798C23×C4C22×D311yescharacteristic
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—24no—
816C4×D4—24no—
817C4×D4—64no—
818C4×D4—64no—
819C4×D4—64no—
820C4×D4—64no—
821C4×D4—64no—
822C4×D4—64no—
823#117—24no—
824#117—38no—
825#117—64no—
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—64no—
899C2×C22⋊C4—64no—
900C2×C22⋊C4C22×D311yescharacteristic
901C2×C22⋊C4C22×D311yescharacteristic
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—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—64no—
929C2×C42—64no—
930C2×C42—64no—
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×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3C2×#4112yes—
991C23×C3C2×#4112yes—
992C23×C3C2511yescharacteristic
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—28no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3C22×D412yes—
1011C22×D3C2×#4112yes—
1012C22×D3C2×#4112yes—
1013C22×D3C2×#4112yes—
1014C3×D4—44no—
1015C3×D4—44no—
1016C3×D4—44no—
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×C4—44no—
1049C2×C3×C4C22×D412yes—
1050C2×C3×C4C22×D412yes—
1051C2×C3×C4C22×D412yes—
1052C2×C3×C4C2×#4112yes—
1053C2×C3×C4C2×#4112yes—
1054C2×C3×C4C2×#4112yes—
1055C2×C3×C4C2×#4112yes—
1056#67—28no—
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×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—44no—
1098C2×Dic3—44no—
1099C2×Dic3C22×D412yes—
1100C2×Dic3C22×D412yes—
1101C2×Dic3C22×D412yes—
1102C2×Dic3C2×#4112yes—
1103C2×Dic3C2×#4112yes—
1104C2×Dic3C2×#4112yes—
1105C4×D3—28no—
1106C4×D3—28no—
1107C4×D3—28no—
1108C4×D3—28no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113Dic6—44no—
1114C24—31no—
1115C24—31no—
1116C24—62no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24—62no—
1121C24—121no—
1122C24—121no—
1123C24C23×D311yescharacteristic
1124C24C23×D311yescharacteristic
1125C24C23×D311yescharacteristic
1126C2×Q8—62no—
1127C2×Q8—62no—
1128C2×Q8—121no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—34no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—34no—
1165C22×C4—34no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—632no—
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—62no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4#23714yes—
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—22no—
1260C22⋊C4—22no—
1261C22⋊C4—34no—
1262C22⋊C4—34no—
1263C22⋊C4—34no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
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—34no—
1299C42—62no—
1300C42—62no—
1301C42—62no—
1302C42—62no—
1303C42—62no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—62no—
1312C42—121no—
1313C42—121no—
1314C42D3×D414yes—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
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×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3C23×D411yescharacteristic
1337C22×C3C22×#4111yescharacteristic
1338C22×C3C22×#4111yescharacteristic
1339C22×C3C22×#4111yescharacteristic
1340C22×C3C22×#4111yescharacteristic
1341C22×C3#58511yescharacteristic
1342C22×C3#58511yescharacteristic
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—416no—
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—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4#52514yes—
1370Dic3—22no—
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—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—32no—
1404C23—32no—
1405C23—32no—
1406C23—32no—
1407C23—68no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—124no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23C2×#23712yes—
1425C23D3×#4112yes—
1426C23C24×D311yescharacteristic
1427Q8—124no—
1428D4—44no—
1429D4—44no—
1430D4—44no—
1431D4—68no—
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—28no—
1444C2×C4—21no—
1445C2×C4—21no—
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—32no—
1466C2×C4—32no—
1467C2×C4—32no—
1468C2×C4—32no—
1469C2×C4—32no—
1470C2×C4—32no—
1471C2×C4—44no—
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—61no—
1487C2×C4—61no—
1488C2×C4—68no—
1489C2×C4—68no—
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—61no—
1513C2×C4—61no—
1514C2×C4—124no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4C2×D3×D412yes—
1521C2×C4C2×D3×D412yes—
1522C2×C4C2×D3×D412yes—
1523C2×C4C2×#23712yes—
1524C2×C4C2×#23712yes—
1525C2×C4D3×#4112yes—
1526C2×C4D3×#4112yes—
1527C2×C3—42no—
1528C2×C3—42no—
1529C2×C3—81no—
1530C2×C3C2×#52511yescharacteristic
1531C2×C3C2×#52911yescharacteristic
1532C2×C3#345511yescharacteristic
1533C2×C3D4×#4111yescharacteristic
1534C2×C3D4×#4111yescharacteristic
1535C2×C3#347511yescharacteristic
1536C2×C3#347511yescharacteristic
1537D3—24no—
1538D3—42no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—34no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—1216no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22C22×D3×D411yescharacteristic
1576C22C22×#23711yescharacteristic
1577C22C2×D3×#4111yescharacteristic
1578C22C2×D3×#4111yescharacteristic
1579C22C2×D3×#4111yescharacteristic
1580C22#596411yescharacteristic
1581C22#596411yescharacteristic
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—62no—
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#560614yes—
1608C3#3474011yescharacteristic, complemented, Sylow
1609C2—42no—
1610C2—42no—
1611C2—64no—
1612C2—81no—
1613C2—122no—
1614C2C2×#560611yescharacteristic
1615C2#8602111yescharacteristic
1616C2#8602111yescharacteristic
1617C2#8603711yescharacteristic
1618C2D3×#52911yescharacteristic
1619C2#8614611yescharacteristic
1620C2#8623811yescharacteristic
subgroupG/H
centerC22×C4C23×D3
commutator, socle, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC3×#2392C2
prime radical#76756C2
hypercenter#2392D3
hypocenterC3#34740
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#5538C2semidirect
2. C2×D3×#117C2semidirect
3. C3×#2392C2semidirect
4. C4×#938C2semidirect
5. C4×#937C2semidirect
6. C4×#937C2semidirect
7. #82319C2semidirect
8. #82318C2semidirect
9. #82245C2semidirect
10. #77761C2semidirect
11. #77757C2semidirect
12. #77481C2semidirect
13. #77476C2semidirect
14. #77419C2semidirect
15. #77304C2semidirect
16. #77301C2semidirect
17. #77299C2semidirect
18. #77117C2semidirect
19. #77112C2semidirect
20. #76932C2semidirect
21. #76931C2semidirect
22. #76929C2semidirect
23. #76925C2semidirect
25. #76685C2semidirect
26. C4×#897C2semidirect
27. #73620C2semidirect
28. #73582C2semidirect
29. #73582C2semidirect
30. #73562C2semidirect
31. C4×#67⋊C4C2semidirect
36. C2×C3×C4×D4C22semidirect
42. C2×#935C22semidirect
48. C2×#926C22semidirect
49. C22×C4×Dic3C22semidirect
58. C2×#889C22semidirect
65. C2×#879C22semidirect
66. C2×#878C22semidirect
73. C2×C4×Dic6C22semidirect
74. C3×#398C22semidirect
76. C3×#396C22semidirect
77. C3×#396C22semidirect
80. C3×#394C22semidirect
82. C3×C4×C4⋊C4C22semidirect
83. C3×C4×C22⋊C4C22semidirect
84. C3×C4×C22⋊C4C22semidirect
87. #5221C22semidirect
94. C4×#217C22semidirect
95. C4×#217C22semidirect
104. #4986C22semidirect
105. #4984C22semidirect
106. #4984C22semidirect
107. #4984C22semidirect
108. #4982C22semidirect
109. #4982C22semidirect
110. #4980C22semidirect
111. #4980C22semidirect
112. #4979C22semidirect
113. #4978C22semidirect
114. #4978C22semidirect
115. #4973C22semidirect
116. #4972C22semidirect
131. #4952C22semidirect
132. #4952C22semidirect
137. #4951C22semidirect
138. #4951C22semidirect
139. #4950C22semidirect
140. #4950C22semidirect
142. #4949C22semidirect
143. #4949C22semidirect
149. #4945C22semidirect
150. #4945C22semidirect
151. #4944C22semidirect
152. #4944C22semidirect
153. Dic3×C22⋊C4C22semidirect
154. Dic3×C22⋊C4C22semidirect
159. C4×C4⋊Dic3C22semidirect
160. C4×C4⋊Dic3C22semidirect
161. C4×C4⋊Dic3C22semidirect
162. #4932C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. C42×Dic3C22semidirect
178. #4658C22semidirect
179. #4658C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4655C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4649C22semidirect
189. #4649C22semidirect
211. #2392D3semidirect
377. #872D4semidirect
440. C2×C4×D4C2×D3semidirect
468. #398C2×D3semidirect
478. #396C2×D3semidirect
479. #396C2×D3semidirect
487. #394C2×D3semidirect
557. C4×C4⋊C4C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
571. C4×C22⋊C4C2×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×#55382
C2×D3×#1172
C3×#23922
C4×#9382
C4×#9372
#823192
#823182
#822452
#777612
#777572
#774812
#774762
#774192
#773042
#773012
#772992
#771172
#771122
#769322
#769312
#769292
#769252
#767562
#766852
C4×#8972
#736202
#735822
#735622
C4×#67⋊C42
#347403