Finite Group Databasebeta

← #10964009

Subgroups — #10964009

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×#5691C211yesmaximal, characteristic, complemented
2C22×#892C211yesmaximal, characteristic, complemented
3C3×#2473C211yesmaximal, characteristic, complemented
4#83033C211yesmaximal, characteristic, complemented
5#82195C211yesmaximal, characteristic, complemented
6#78143C211yesmaximal, characteristic, complemented
7#78129C211yesmaximal, characteristic, complemented
8#77763C211yesmaximal, characteristic, complemented
9#77761C211yesmaximal, characteristic, complemented
10#77760C211yesmaximal, characteristic, complemented
11#77739C211yesmaximal, characteristic, complemented
12#77738C211yesmaximal, characteristic, complemented
13#77737C211yesmaximal, characteristic, complemented
14#76228C211yesmaximal, characteristic, complemented
15#75961C211yesmaximal, characteristic, complemented
16#75332C211yesmaximal, characteristic, complemented
17#75010C211yesmaximal, characteristic, complemented
18#74939C211yesmaximal, characteristic, complemented
19#74937C211yesmaximal, characteristic, complemented
20#74605C211yesmaximal, characteristic
21#74603C211yesmaximal, characteristic, complemented
22#74454C211yesmaximal, characteristic, complemented
23#74422C211yesmaximal, characteristic, complemented
24#74381C211yesmaximal, characteristic, complemented
25#74379C211yesmaximal, characteristic, complemented
26#74379C211yesmaximal, characteristic, complemented
27#74377C211yesmaximal, characteristic, complemented
28#73909C211yesmaximal, characteristic, complemented
29#73865C211yesmaximal, characteristic, complemented
30#73594C211yesmaximal, characteristic, complemented
31C4×#67⋊C4C211yesmaximal, characteristic, complemented
32#34740—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×#125C2211yescharacteristic, complemented
35C22×C3×C4⋊C4C2211yescharacteristic
36C2×#930C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×C4⋊Dic3C2211yescharacteristic
41C22×C4×Dic3C2211yescharacteristic
42C22×C4×Dic3C2211yescharacteristic
43#5691—28no—
44C2×#898C2211yescharacteristic
45C2×#898C2211yescharacteristic, complemented
46C2×#897C2211yescharacteristic, complemented
47C2×#895C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic, complemented
50C2×#893C2211yescharacteristic
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic, complemented
55C2×#892—28no—
56C2×#892C2211yescharacteristic
57C2×#892C2211yescharacteristic
58C2×#892C2211yescharacteristic
59C2×#892C2211yescharacteristic
60C2×#892C2211yescharacteristic
61C2×#892C2211yescharacteristic
62C2×#892C2211yescharacteristic
63C2×#892C2211yescharacteristic
64C2×#892C2211yescharacteristic, complemented
65C2×#887C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#875C2211yescharacteristic
73C2×C42×D3C2211yescharacteristic, complemented
74C3×#400C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#389C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#385C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#380C2211yescharacteristic
86C3×C4×C22⋊C4C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5210C2211yescharacteristic
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4993C2211yescharacteristic
96#4993C2211yescharacteristic, complemented
97#4992C2211yescharacteristic
98#4992C2211yescharacteristic, complemented
99#4991C2211yescharacteristic
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic, complemented
102#4990C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic
112#4988C2211yescharacteristic, complemented
113#4986C2211yescharacteristic, complemented
114#4984C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4981C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4978C2211yescharacteristic, complemented
120#4978C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122Dic3×C4⋊C4C2211yescharacteristic, complemented
123Dic3×C4⋊C4C2211yescharacteristic, complemented
124Dic3×C4⋊C4C2211yescharacteristic, complemented
125#4972C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4950C2211yescharacteristic
132#4942C2211yescharacteristic
133Dic3×C22⋊C4C2211yescharacteristic
134Dic3×C22⋊C4C2211yescharacteristic
135Dic3×C22⋊C4C2211yescharacteristic
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic
138#4939C2211yescharacteristic
139C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
140C4×Dic3⋊C4C2211yescharacteristic, complemented
141C42×Dic3C2211yescharacteristic, complemented
142#4677C2211yescharacteristic, complemented
143#4675C2211yescharacteristic
144#4675C2211yescharacteristic
145#4674C2211yescharacteristic
146#4674C2211yescharacteristic
147#4674C2211yescharacteristic, complemented
148#4673C2211yescharacteristic
149#4672C2211yescharacteristic
150#4672C2211yescharacteristic
151#4672C2211yescharacteristic
152#4672C2211yescharacteristic
153#4671C2211yescharacteristic
154#4670C2211yescharacteristic
155#4670C2211yescharacteristic
156#4670C2211yescharacteristic, complemented
157#4670C2211yescharacteristic, complemented
158#4669C2211yescharacteristic
159#4669C2211yescharacteristic
160#4669C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4666C2211yescharacteristic
164#4666C2211yescharacteristic
165#4666C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic, complemented
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4660C2211yescharacteristic, complemented
179#4656C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, 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#2473D311yescharacteristic, complemented
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#2293—31no—
218#2290—31no—
219#2290—31no—
220C42×D4—31no—
221C24×D3C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
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×#125—24no—
248C2×C3×C4⋊C4—24no—
249C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271#930—24no—
272C4×#67—24no—
273C2×(C2×D3)⋊C4—24no—
274C2×(C2×D3)⋊C4—24no—
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3—24no—
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3—24no—
333C2×C4×Dic3—24no—
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
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#898—24no—
354#897—24no—
355#895—24no—
356#894—24no—
357#894—24no—
358#893—24no—
359#893—24no—
360#893—24no—
361#893—24no—
362#893—24no—
363#892—24no—
364#892—24no—
365#892—24no—
366#892—24no—
367#892—24no—
368#892—24no—
369#892—24no—
370#892—24no—
371#892D418yescomplemented
372#887—24no—
373#882—24no—
374#882—24no—
375#67⋊C4—24no—
376#67⋊C4—24no—
377#67⋊C4—24no—
378#878—24no—
379#875—24no—
380C42×D3—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×#125C2×D311yescharacteristic, complemented
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×D4—31no—
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—31no—
450C2×#117—68no—
451C22×C4⋊C4—31no—
452C22×C4⋊C4C2×D311yescharacteristic
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456C22×C42—31no—
457C22×C42—31no—
458#400—31no—
459#400—31no—
460#400C2×D311yescharacteristic, complemented
461#399—31no—
462#399—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398C2×D311yescharacteristic, complemented
467#398C2×D311yescharacteristic, complemented
468#398C2×D311yescharacteristic, complemented
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#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
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#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#387C2×D311yescharacteristic, complemented
521#387C2×D311yescharacteristic, complemented
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#385C2×D311yescharacteristic
543#385C2×D311yescharacteristic
544#385C2×D311yescharacteristic
545#385C2×D311yescharacteristic
546#380—31no—
547#380C2×D311yescharacteristic
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⋊C4—31no—
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⋊C4—31no—
571C4×C22⋊C4C2×D311yescharacteristic
572#376—31no—
573C43—31no—
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C22×C3×C4—22no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
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
608C22×C3×C4C2411yescharacteristic
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67#4114yes—
615C22×Dic3—22no—
616C22×Dic3—22no—
617C22×Dic3—22no—
618C22×Dic3—22no—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—41no—
622C22×Dic3—41no—
623C22×Dic3#4114yes—
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—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12—41no—
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—22no—
671C2×C4×D3—22no—
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—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4C2×D414yes—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4#4114yes—
697C3×C42—22no—
698C3×C42—41no—
699#217—22no—
700#217—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
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—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4C2×D414yes—
738(C2×D3)⋊C4C2×D414yes—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—41no—
746C4⋊Dic3C2×D414yes—
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—
757C4×Dic3—22no—
758C4×Dic3—22no—
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×Dic3C2×D414yes—
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×D4—31no—
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—24no—
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—64no—
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—38no—
824#117—64no—
825#117—64no—
826#117—64no—
827#117—64no—
828#117—64no—
829#117—64no—
830#117—64no—
831#117—64no—
832C2×C4⋊C4—24no—
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—64no—
852C2×C4⋊C4C22×D311yescharacteristic
853C2×C4⋊C4C22×D311yescharacteristic
854C2×C4⋊C4C22×D311yescharacteristic
855C2×C4⋊C4C22×D311yescharacteristic
856C2×C4⋊C4C22×D311yescharacteristic
857C2×C4⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
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—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—64no—
907C2×C22⋊C4—64no—
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—31no—
929C2×C42—31no—
930C2×C42—64no—
931C2×C42—64no—
932C2×C42—64no—
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#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
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×C3C2×#4112yes—
976C23×C3C2×#4112yes—
977C23×C3C2×#4112yes—
978C23×C3C2511yescharacteristic
979C22×D3—28no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
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—21no—
1004C22×D3—21no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3C22×D412yes—
1012C22×D3C2×#4112yes—
1013C22×D3C2×#4112yes—
1014C2×C3×C4—28no—
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—21no—
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—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—44no—
1052C2×C3×C4—44no—
1053C2×C3×C4C22×D412yes—
1054C2×C3×C4C22×D412yes—
1055C2×C3×C4C22×D412yes—
1056C2×C3×C4C2×#4112yes—
1057C2×C3×C4C2×#4112yes—
1058C2×C3×C4C2×#4112yes—
1059#67—28no—
1060#67—44no—
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—28no—
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—44no—
1092C2×Dic3—44no—
1093C2×Dic3C22×D412yes—
1094C2×Dic3C22×D412yes—
1095C2×Dic3C22×D412yes—
1096C2×Dic3C2×#4112yes—
1097C2×Dic3C2×#4112yes—
1098C2×Dic3C2×#4112yes—
1099C2×Dic3C2×#4112yes—
1100D12—44no—
1101D12—44no—
1102D12—44no—
1103D12—44no—
1104D12—44no—
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—31no—
1117C24—31no—
1118C24—62no—
1119C24—62no—
1120C24—62no—
1121C24—62no—
1122C24—62no—
1123C24—121no—
1124C24—121no—
1125C24C23×D311yescharacteristic
1126C2×Q8—62no—
1127C2×Q8—62no—
1128C2×Q8—121no—
1129C2×D4—34no—
1130C2×D4—62no—
1131C2×D4—62no—
1132C2×D4—62no—
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—121no—
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—22no—
1156C22×C4—22no—
1157C22×C4—31no—
1158C22×C4—34no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—34no—
1164C22×C4—34no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
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—632no—
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—62no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4C23×D311yescharacteristic
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—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—34no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
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—62no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4D3×D414yes—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—34no—
1255C22⋊C4—34no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
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—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4#23914yes—
1295C42—22no—
1296C42—34no—
1297C42—34no—
1298C42—41no—
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—62no—
1313C42—62no—
1314C42—121no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3#52914yescomplemented
1322C22×C3C23×D411yescharacteristic
1323C22×C3C22×#4111yescharacteristic
1324C22×C3C22×#4111yescharacteristic
1325C22×C3C22×#4111yescharacteristic
1326C22×C3C22×#4111yescharacteristic
1327C22×C3#58511yescharacteristic
1328C22×C3#58511yescharacteristic
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—22no—
1335C2×D3—22no—
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—416no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
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—41no—
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—22no—
1362C3×C4—22no—
1363C3×C4—22no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372Dic3—22no—
1373Dic3—22no—
1374Dic3—22no—
1375Dic3—22no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3#52514yes—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—32no—
1389C23—32no—
1390C23—32no—
1391C23—68no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
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—124no—
1418C23—124no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23C2×#23912yes—
1424C23D3×#4112yes—
1425C23D3×#4112yes—
1426C23C24×D311yescharacteristic
1427Q8—124no—
1428D4—68no—
1429D4—124no—
1430D4—124no—
1431D4—124no—
1432D4—124no—
1433D4—124no—
1434D4—124no—
1435C2×C4—28no—
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—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—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—32no—
1473C2×C4—32no—
1474C2×C4—32no—
1475C2×C4—32no—
1476C2×C4—32no—
1477C2×C4—32no—
1478C2×C4—32no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—68no—
1482C2×C4—68no—
1483C2×C4—68no—
1484C2×C4—68no—
1485C2×C4—68no—
1486C2×C4—61no—
1487C2×C4—61no—
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—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4C2×D3×D412yes—
1522C2×C4C2×D3×D412yes—
1523C2×C4C2×D3×D412yes—
1524C2×C4C2×#23912yes—
1525C2×C4C2×#23912yes—
1526C2×C4D3×#4112yes—
1527C2×C3—24no—
1528C2×C3C2×#52511yescharacteristic
1529C2×C3C2×#52911yescharacteristic
1530C2×C3#345511yescharacteristic
1531C2×C3D4×#4111yescharacteristic
1532C2×C3D4×#4111yescharacteristic
1533C2×C3#347511yescharacteristic
1534C2×C3#347511yescharacteristic
1535D3—42no—
1536D3—42no—
1537D3—42no—
1538D3—81no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—62no—
1553C22—62no—
1554C22—1216no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22#569114yescomplemented
1575C22C22×D3×D411yescharacteristic
1576C22C22×#23911yescharacteristic
1577C22C2×D3×#4111yescharacteristic
1578C22C2×D3×#4111yescharacteristic
1579C22C2×D3×#4111yescharacteristic
1580C22#596611yescharacteristic
1581C22#596811yescharacteristic
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—34no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—62no—
1598C4—62no—
1599C4—62no—
1600C4—62no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4—121no—
1608C3#3474011yescharacteristic, complemented, Sylow
1609C2—24no—
1610C2—122no—
1611C2—122no—
1612C2—122no—
1613C2—241no—
1614C2D3×#52511yescharacteristic
1615C2C2×#569111yescharacteristic
1616C2#8642711yescharacteristic
1617C2#8662611yescharacteristic
1618C2D4×#23911yescharacteristic
1619C2#8682711yescharacteristic
1620C2#8692211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2473C2
prime radical#74605C2
hypercenter#2473D3
hypocenterC3#34740
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#5691C2semidirect
2. C22×#892C2semidirect
3. C3×#2473C2semidirect
4. #83033C2semidirect
5. #82195C2semidirect
6. #78143C2semidirect
7. #78129C2semidirect
8. #77763C2semidirect
9. #77761C2semidirect
10. #77760C2semidirect
11. #77739C2semidirect
12. #77738C2semidirect
13. #77737C2semidirect
14. #76228C2semidirect
15. #75961C2semidirect
16. #75332C2semidirect
17. #75010C2semidirect
18. #74939C2semidirect
19. #74937C2semidirect
21. #74603C2semidirect
22. #74454C2semidirect
23. #74422C2semidirect
24. #74381C2semidirect
25. #74379C2semidirect
26. #74379C2semidirect
27. #74377C2semidirect
28. #73909C2semidirect
29. #73865C2semidirect
30. #73594C2semidirect
31. C4×#67⋊C4C2semidirect
34. C2×C3×#125C22semidirect
45. C2×#898C22semidirect
46. C2×#897C22semidirect
49. C2×#894C22semidirect
54. C2×#893C22semidirect
64. C2×#892C22semidirect
65. C2×#887C22semidirect
73. C2×C42×D3C22semidirect
74. C3×#400C22semidirect
75. C3×#398C22semidirect
76. C3×#398C22semidirect
77. C3×#398C22semidirect
78. C3×#389C22semidirect
79. C3×#387C22semidirect
80. C3×#387C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
96. #4993C22semidirect
98. #4992C22semidirect
101. #4991C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
110. #4989C22semidirect
112. #4988C22semidirect
113. #4986C22semidirect
114. #4984C22semidirect
115. #4982C22semidirect
116. #4981C22semidirect
117. #4980C22semidirect
118. #4980C22semidirect
119. #4978C22semidirect
120. #4978C22semidirect
121. #4976C22semidirect
122. Dic3×C4⋊C4C22semidirect
123. Dic3×C4⋊C4C22semidirect
124. Dic3×C4⋊C4C22semidirect
125. #4972C22semidirect
139. C4×(C2×D3)⋊C4C22semidirect
140. C4×Dic3⋊C4C22semidirect
141. C42×Dic3C22semidirect
142. #4677C22semidirect
147. #4674C22semidirect
156. #4670C22semidirect
157. #4670C22semidirect
160. #4669C22semidirect
161. #4669C22semidirect
162. #4668C22semidirect
167. #4666C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
170. #4666C22semidirect
171. #4666C22semidirect
178. #4660C22semidirect
179. #4656C22semidirect
180. #4655C22semidirect
181. #4654C22semidirect
182. #4653C22semidirect
183. #4653C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4649C22semidirect
188. #4648C22semidirect
189. #4646C22semidirect
200. #2473D3semidirect
371. #892D4semidirect
421. C2×#125C2×D3semidirect
460. #400C2×D3semidirect
466. #398C2×D3semidirect
467. #398C2×D3semidirect
468. #398C2×D3semidirect
497. #389C2×D3semidirect
520. #387C2×D3semidirect
521. #387C2×D3semidirect
1321. C22×C3#529semidirect
1574. C22#5691semidirect
1608. C3#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#56912
C22×#8922
C3×#24732
#830332
#821952
#781432
#781292
#777632
#777612
#777602
#777392
#777382
#777372
#762282
#759612
#753322
#750102
#749392
#749372
#746052
#746032
#744542
#744222
#743812
#743792
#743772
#739092
#738652
#735942
C4×#67⋊C42
#347403