Finite Group Databasebeta

← #10963991

Subgroups — #10963991

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×#5649C211yesmaximal, characteristic, complemented
2C2×D3×#117C211yesmaximal, characteristic, complemented
3C3×#2470C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82250C211yesmaximal, characteristic, complemented
6#78145C211yesmaximal, characteristic, complemented
7#78130C211yesmaximal, characteristic, complemented
8#77482C211yesmaximal, characteristic, complemented
9#77459C211yesmaximal, characteristic, complemented
10#77419C211yesmaximal, characteristic, complemented
11#77281C211yesmaximal, characteristic, complemented
12#77114C211yesmaximal, characteristic
13#76892C211yesmaximal, characteristic, complemented
14#76027C211yesmaximal, characteristic, complemented
15#76023C211yesmaximal, characteristic, complemented
16#75965C211yesmaximal, characteristic, complemented
17#75961C211yesmaximal, characteristic, complemented
18#75534C211yesmaximal, characteristic, complemented
19#75527C211yesmaximal, characteristic, complemented
20#75452C211yesmaximal, characteristic, complemented
21#75451C211yesmaximal, characteristic, complemented
22#75011C211yesmaximal, characteristic, complemented
23#74937C211yesmaximal, characteristic, complemented
24#74730C211yesmaximal, characteristic, complemented
25#74659C211yesmaximal, characteristic, complemented
26#74608C211yesmaximal, characteristic, complemented
27#74450C211yesmaximal, characteristic, complemented
28#74379C211yesmaximal, characteristic, complemented
29#74377C211yesmaximal, characteristic, complemented
30#73500C211yesmaximal, characteristic, complemented
31C4×#67⋊C4C211yesmaximal, characteristic, complemented
32#34740—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×#117C2211yescharacteristic
36C2×#939C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×D4×Dic3C2211yescharacteristic
39C2×#929C2211yescharacteristic, complemented
40C2×C4×#67C2211yescharacteristic
41C2×#926C2211yescharacteristic
42C22×C4×Dic3C2211yescharacteristic, complemented
43#5649—28no—
44D3×#117—28no—
45C2×#898C2211yescharacteristic, complemented
46C2×#897C2211yescharacteristic
47C2×#893C2211yescharacteristic
48C2×#893C2211yescharacteristic
49C2×#892C2211yescharacteristic
50C2×#892C2211yescharacteristic
51C2×#892C2211yescharacteristic, complemented
52C2×D3×C4⋊C4C2211yescharacteristic
53C2×D3×C4⋊C4C2211yescharacteristic
54C2×#889C2211yescharacteristic, complemented
55C2×#887C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic
57C2×#884C2211yescharacteristic
58C2×#882C2211yescharacteristic
59C2×#67⋊C4C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic, complemented
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic
67C2×#878C2211yescharacteristic, complemented
68C2×#877C2211yescharacteristic
69C2×#877C2211yescharacteristic
70C2×#872C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic
73C2×C42×D3C2211yescharacteristic
74C3×#400C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#396C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#389C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic
81C3×#388C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87#5222C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5210C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4993C2211yescharacteristic
93#4993C2211yescharacteristic, complemented
94#4991C2211yescharacteristic
95#4990C2211yescharacteristic
96#4990C2211yescharacteristic
97#4990C2211yescharacteristic, complemented
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4988C2211yescharacteristic
104#4987C2211yescharacteristic
105#4984C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4978C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114Dic3×C4⋊C4C2211yescharacteristic, complemented
115Dic3×C4⋊C4C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4960C2211yescharacteristic
120#4959C2211yescharacteristic
121#4958C2211yescharacteristic
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4953C2211yescharacteristic
129#4952C2211yescharacteristic
130#4952C2211yescharacteristic
131#4952C2211yescharacteristic, complemented
132#4951C2211yescharacteristic
133#4950C2211yescharacteristic, complemented
134#4949C2211yescharacteristic, complemented
135#4945C2211yescharacteristic
136#4944C2211yescharacteristic
137Dic3×C22⋊C4C2211yescharacteristic
138Dic3×C22⋊C4C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic, complemented
140Dic3×C22⋊C4C2211yescharacteristic, complemented
141Dic3×C22⋊C4C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4939C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic
146#4933C2211yescharacteristic, complemented
147C4×Dic3⋊C4C2211yescharacteristic, complemented
148C42×Dic3C2211yescharacteristic, complemented
149#4929C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic
152#4675C2211yescharacteristic
153#4675C2211yescharacteristic, complemented
154#4673C2211yescharacteristic
155#4670C2211yescharacteristic
156#4670C2211yescharacteristic
157#4670C2211yescharacteristic, complemented
158#4669C2211yescharacteristic, complemented
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic
162#4667C2211yescharacteristic
163#4666C2211yescharacteristic
164#4666C2211yescharacteristic
165#4666C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4660C2211yescharacteristic, complemented
176#4658C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4648C2211yescharacteristic, 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#2470D311yescharacteristic, complemented
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
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×C4×D3—24no—
235C22×C4×D3—24no—
236C22×C4×D3—24no—
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×#123—24no—
248C3×#117—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×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×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279#939—24no—
280#937—24no—
281D4×Dic3—24no—
282#929—24no—
283C4×#67—24no—
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
310#926—24no—
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×C4×Dic3—24no—
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#897—24no—
354#893—24no—
355#893—24no—
356#892—24no—
357#892—24no—
358#892—24no—
359D3×C4⋊C4—24no—
360D3×C4⋊C4—24no—
361#889—24no—
362#887—24no—
363#885—24no—
364#884—24no—
365#882—24no—
366#67⋊C4—24no—
367#67⋊C4—24no—
368#67⋊C4—24no—
369#67⋊C4—24no—
370#67⋊C4—24no—
371D3×C22⋊C4—24no—
372D3×C22⋊C4—24no—
373#879—24no—
374#878—24no—
375#877—24no—
376#877D418yescomplemented
377#872—24no—
378#872—24no—
379C42×D3—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×#125—31no—
422C2×#124—31no—
423C2×#123—31no—
424C2×#123C2×D311yescharacteristic
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—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#400C2×D311yescharacteristic, complemented
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#397C2×D311yescharacteristic
476#396—31no—
477#396—31no—
478#396—31no—
479#396C2×D311yescharacteristic, complemented
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394C2×D311yescharacteristic
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#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#388—31no—
509#388—31no—
510#388C2×D311yescharacteristic
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#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#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
545#385C2×D311yescharacteristic, complemented
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⋊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, complemented
572#376—31no—
573C43—31no—
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—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
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—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67#4114yes—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—41no—
628C22×Dic3C2×D414yes—
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—41no—
648C2×C4×D3—232no—
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—22no—
669C2×C4×D3—22no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3#4114yes—
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—41no—
687C3×C4⋊C4—41no—
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⋊C4C2×D414yes—
698C3×C42—22no—
699C3×C42—22no—
700C3×C42—41no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—41no—
707#217—41no—
708#217C2×D414yes—
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#4114yes—
735C4⋊Dic3—22no—
736C4⋊Dic3—22no—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—41no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
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—41no—
754Dic3⋊C4—41no—
755Dic3⋊C4—41no—
756Dic3⋊C4C2×D414yes—
757Dic3⋊C4C2×D414yes—
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×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—24no—
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—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—64no—
856C2×C4⋊C4—64no—
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—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—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—64no—
930C2×C42—64no—
931C2×C42—64no—
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#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×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3C22×D412yes—
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—21no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3C2×#4112yes—
1011C22×D3C2×#4112yes—
1012C22×D3C2×#4112yes—
1013C22×D3C2×#4112yes—
1014C3×D4—44no—
1015C2×C3×C4—28no—
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—44no—
1051C2×C3×C4C22×D412yes—
1052C2×C3×C4C22×D412yes—
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—21no—
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—28no—
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—44no—
1093C2×Dic3—44no—
1094C2×Dic3C22×D412yes—
1095C2×Dic3C22×D412yes—
1096C2×Dic3C22×D412yes—
1097C2×Dic3C22×D412yes—
1098C2×Dic3C2×#4112yes—
1099C2×Dic3C2×#4112yes—
1100C2×Dic3C2×#4112yes—
1101C2×Dic3C2×#4112yes—
1102D12—44no—
1103D12—44no—
1104C4×D3—28no—
1105C4×D3—28no—
1106C4×D3—28no—
1107C4×D3—28no—
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—34no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—34no—
1163C22×C4—34no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—41no—
1172C22×C4—62no—
1173C22×C4—62no—
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—632no—
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—62no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
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—34no—
1227C4⋊C4—34no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
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—62no—
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—41no—
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—62no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4D3×D414yes—
1295C42—22no—
1296C42—22no—
1297C42—34no—
1298C42—34no—
1299C42—41no—
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—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—416no—
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#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—41no—
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#52514yes—
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—32no—
1397C23—32no—
1398C23—32no—
1399C23—32no—
1400C23—68no—
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—61no—
1418C23—124no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23C2×D3×D412yes—
1425C23D3×#4112yes—
1426C23C24×D311yescharacteristic
1427Q8—124no—
1428D4—44no—
1429D4—68no—
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—32no—
1471C2×C4—32no—
1472C2×C4—32no—
1473C2×C4—32no—
1474C2×C4—32no—
1475C2×C4—32no—
1476C2×C4—32no—
1477C2×C4—32no—
1478C2×C4—44no—
1479C2×C4—68no—
1480C2×C4—68no—
1481C2×C4—68no—
1482C2×C4—68no—
1483C2×C4—68no—
1484C2×C4—61no—
1485C2×C4—61no—
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×C4—124no—
1522C2×C4C2×D3×D412yes—
1523C2×C4C2×D3×D412yes—
1524C2×C4D3×#4112yes—
1525C2×C4D3×#4112yes—
1526C2×C4D3×#4112yes—
1527C2×C3—42no—
1528C2×C3—42no—
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—81no—
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—62no—
1555C22—62no—
1556C22—62no—
1557C22—62no—
1558C22—62no—
1559C22—62no—
1560C22—62no—
1561C22—62no—
1562C22—62no—
1563C22—1216no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22C22×D3×D411yescharacteristic
1576C22C2×D3×#4111yescharacteristic
1577C22C2×D3×#4111yescharacteristic
1578C22C2×D3×#4111yescharacteristic
1579C22C2×D3×#4111yescharacteristic
1580C22#596611yescharacteristic
1581C22#596811yescharacteristic
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—34no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—62no—
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—42no—
1610C2—42no—
1611C2—64no—
1612C2—122no—
1613C2—241no—
1614C2D3×#52511yescharacteristic
1615C2D3×#52911yescharacteristic
1616C2#8652311yescharacteristic
1617C2#8662611yescharacteristic
1618C2#8667411yescharacteristic
1619C2#8682711yescharacteristic
1620C2#8687411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2470C2
prime radical#77114C2
hypercenter#2470D3
hypocenterC3#34740
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2470

Complements

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

NH ≅ G/Ntype
1. C2×#5649C2semidirect
2. C2×D3×#117C2semidirect
3. C3×#2470C2semidirect
4. #82896C2semidirect
5. #82250C2semidirect
6. #78145C2semidirect
7. #78130C2semidirect
8. #77482C2semidirect
9. #77459C2semidirect
10. #77419C2semidirect
11. #77281C2semidirect
13. #76892C2semidirect
14. #76027C2semidirect
15. #76023C2semidirect
16. #75965C2semidirect
17. #75961C2semidirect
18. #75534C2semidirect
19. #75527C2semidirect
20. #75452C2semidirect
21. #75451C2semidirect
22. #75011C2semidirect
23. #74937C2semidirect
24. #74730C2semidirect
25. #74659C2semidirect
26. #74608C2semidirect
27. #74450C2semidirect
28. #74379C2semidirect
29. #74377C2semidirect
30. #73500C2semidirect
31. C4×#67⋊C4C2semidirect
39. C2×#929C22semidirect
42. C22×C4×Dic3C22semidirect
45. C2×#898C22semidirect
51. C2×#892C22semidirect
54. C2×#889C22semidirect
55. C2×#887C22semidirect
63. C2×#67⋊C4C22semidirect
67. C2×#878C22semidirect
74. C3×#400C22semidirect
76. C3×#396C22semidirect
78. C3×#389C22semidirect
79. C3×#389C22semidirect
81. C3×#388C22semidirect
82. C3×#387C22semidirect
85. C3×#385C22semidirect
86. C3×C4×C22⋊C4C22semidirect
91. #4994C22semidirect
93. #4993C22semidirect
97. #4990C22semidirect
105. #4984C22semidirect
106. #4982C22semidirect
107. #4982C22semidirect
108. #4980C22semidirect
109. #4979C22semidirect
110. #4978C22semidirect
111. #4978C22semidirect
112. #4976C22semidirect
113. Dic3×C4⋊C4C22semidirect
114. Dic3×C4⋊C4C22semidirect
115. Dic3×C4⋊C4C22semidirect
118. #4961C22semidirect
122. #4957C22semidirect
131. #4952C22semidirect
133. #4950C22semidirect
134. #4949C22semidirect
139. Dic3×C22⋊C4C22semidirect
140. Dic3×C22⋊C4C22semidirect
141. Dic3×C22⋊C4C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
146. #4933C22semidirect
147. C4×Dic3⋊C4C22semidirect
148. C42×Dic3C22semidirect
149. #4929C22semidirect
153. #4675C22semidirect
157. #4670C22semidirect
158. #4669C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
175. #4660C22semidirect
176. #4658C22semidirect
177. #4657C22semidirect
178. #4657C22semidirect
179. #4657C22semidirect
180. #4655C22semidirect
181. #4655C22semidirect
182. #4654C22semidirect
183. #4654C22semidirect
184. #4652C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4648C22semidirect
203. #2470D3semidirect
376. #877D4semidirect
460. #400C2×D3semidirect
479. #396C2×D3semidirect
496. #389C2×D3semidirect
497. #389C2×D3semidirect
511. #388C2×D3semidirect
521. #387C2×D3semidirect
545. #385C2×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×#56492
C2×D3×#1172
C3×#24702
#828962
#822502
#781452
#781302
#774822
#774592
#774192
#772812
#771142
#768922
#760272
#760232
#759652
#759612
#755342
#755272
#754522
#754512
#750112
#749372
#747302
#746592
#746082
#744502
#743792
#743772
#735002
C4×#67⋊C42
#347403