Finite Group Databasebeta

← #11043117

Subgroups — #11043117

Order 768.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5694C211yesmaximal, characteristic, complemented
2C2×#5691C211yesmaximal, characteristic, complemented
3C3×#2719C211yesmaximal, characteristic, complemented
4#83051C211yesmaximal, characteristic, complemented
5#83046C211yesmaximal, characteristic, complemented
6#78356C211yesmaximal, characteristic, complemented
7#78238C211yesmaximal, characteristic, complemented
8#78206C211yesmaximal, characteristic, complemented
9#78203C211yesmaximal, characteristic, complemented
10#78150C211yesmaximal, characteristic, complemented
11#78144C211yesmaximal, characteristic, complemented
12#77952C211yesmaximal, characteristic, complemented
13#77850C211yesmaximal, characteristic, complemented
14#77826C211yesmaximal, characteristic, complemented
15#77823C211yesmaximal, characteristic, complemented
16#77815C211yesmaximal, characteristic, complemented
17#77753C211yesmaximal, characteristic
18#76285C211yesmaximal, characteristic, complemented
19#76257C211yesmaximal, characteristic, complemented
20#76070C211yesmaximal, characteristic, complemented
21#75971C211yesmaximal, characteristic, complemented
22#75372C211yesmaximal, characteristic, complemented
23#75304C211yesmaximal, characteristic, complemented
24#75298C211yesmaximal, characteristic, complemented
25#75161C211yesmaximal, characteristic, complemented
26#75152C211yesmaximal, characteristic, complemented
27#75006C211yesmaximal, characteristic, complemented
28#74999C211yesmaximal, characteristic, complemented
29#74937C211yesmaximal, characteristic, complemented
30#74184C211yesmaximal, characteristic, complemented
31#74181C211yesmaximal, characteristic, complemented
32#38380—31nomaximal, Sylow
33C2×C3×#125C2211yescharacteristic
34C2×C3×#125C2211yescharacteristic
35#5694—28no—
36#5691—28no—
37C2×#898C2211yescharacteristic
38C2×#898C2211yescharacteristic
39C2×#898C2211yescharacteristic
40C2×#898C2211yescharacteristic
41C2×#897C2211yescharacteristic
42C2×#897C2211yescharacteristic
43C2×#897C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×#892C2211yescharacteristic
56C2×#892C2211yescharacteristic
57C2×#892C2211yescharacteristic
58C2×#892C2211yescharacteristic
59C2×D3×C4⋊C4C2211yescharacteristic
60C2×#890C2211yescharacteristic
61C2×#890C2211yescharacteristic
62C2×#887C2211yescharacteristic
63C2×#875C2211yescharacteristic
64C2×C4×D12C2211yescharacteristic
65C2×C42×D3C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic
67C3×#400C2211yescharacteristic
68C3×#400C2211yescharacteristic
69C3×#400C2211yescharacteristic
70C3×#398C2211yescharacteristic
71C3×#398C2211yescharacteristic
72C3×#398C2211yescharacteristic
73C3×#389C2211yescharacteristic
74C3×#389C2211yescharacteristic
75C3×#387C2211yescharacteristic
76C3×#387C2211yescharacteristic
77C3×#387C2211yescharacteristic
78C3×#387C2211yescharacteristic
79C3×#382C2211yescharacteristic
80#4994C2211yescharacteristic
81#4994C2211yescharacteristic
82#4993C2211yescharacteristic
83#4993C2211yescharacteristic
84#4993C2211yescharacteristic
85#4992C2211yescharacteristic
86#4991C2211yescharacteristic
87#4991C2211yescharacteristic
88#4991C2211yescharacteristic
89#4991C2211yescharacteristic
90#4991C2211yescharacteristic
91#4990C2211yescharacteristic
92#4990C2211yescharacteristic
93#4990C2211yescharacteristic
94#4989C2211yescharacteristic
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic
100#4988C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic
103#4986C2211yescharacteristic
104#4983C2211yescharacteristic
105#4981C2211yescharacteristic
106#4980C2211yescharacteristic
107#4980C2211yescharacteristic
108#4980C2211yescharacteristic
109#4980C2211yescharacteristic
110#4979C2211yescharacteristic
111#4979C2211yescharacteristic
112#4979C2211yescharacteristic
113#4979C2211yescharacteristic
114#4977C2211yescharacteristic
115#4976C2211yescharacteristic
116#4976C2211yescharacteristic
117#4975C2211yescharacteristic
118#4940C2211yescharacteristic
119#4940C2211yescharacteristic
120#4940C2211yescharacteristic
121#4940C2211yescharacteristic
122#4939C2211yescharacteristic
123C4×(C2×D3)⋊C4C2211yescharacteristic
124C4×Dic3⋊C4C2211yescharacteristic
125#4928C2211yescharacteristic
126#4676C2211yescharacteristic
127#4676C2211yescharacteristic
128#4676C2211yescharacteristic
129#4676C2211yescharacteristic
130#4675C2211yescharacteristic
131#4675C2211yescharacteristic
132#4675C2211yescharacteristic
133#4674C2211yescharacteristic
134#4673C2211yescharacteristic
135#4673C2211yescharacteristic
136#4672C2211yescharacteristic
137#4671C2211yescharacteristic
138#4671C2211yescharacteristic
139#4669C2211yescharacteristic
140#4669C2211yescharacteristic
141#4669C2211yescharacteristic
142#4669C2211yescharacteristic
143#4669C2211yescharacteristic
144#4668C2211yescharacteristic
145#4668C2211yescharacteristic
146#4668C2211yescharacteristic
147#4668C2211yescharacteristic
148#4668C2211yescharacteristic
149#4668C2211yescharacteristic
150#4668C2211yescharacteristic
151#4668C2211yescharacteristic
152#4667C2211yescharacteristic
153#4667C2211yescharacteristic
154#4667C2211yescharacteristic
155#4667C2211yescharacteristic
156#4666C2211yescharacteristic
157#4666C2211yescharacteristic
158#4666C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4664C2211yescharacteristic
172D3×#95C2211yescharacteristic
173#4659C2211yescharacteristic
174#4658C2211yescharacteristic
175#4658C2211yescharacteristic
176#4655C2211yescharacteristic
177#4655C2211yescharacteristic
178#4655C2211yescharacteristic
179#4655C2211yescharacteristic
180#4654C2211yescharacteristic
181#4653C2211yescharacteristic
182#4652C2211yescharacteristic
183#4652C2211yescharacteristic
184#4651C2211yescharacteristic
185#4649C2211yescharacteristic
186#4648C2211yescharacteristic
187#4647C2211yescharacteristic
188#4647C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#552—31no—
191C2×#529—31no—
192#2851—31no—
193#2720—31no—
194#2719D311yescharacteristic, complemented
195#2715—31no—
196#2696—31no—
197#2695—31no—
198#2694—31no—
199#2693—31no—
200#2672—31no—
201#2638—31no—
202#2634—31no—
203#2611—31no—
204#2609—31no—
205#2600—31no—
206#2598—31no—
207#2566—31no—
208#2564—31no—
209#2559—31no—
210#2553—31no—
211#2496—31no—
212#2481—31no—
213#2469—31no—
214#2465—31no—
215#2464—31no—
216#2449—31no—
217#2343—31no—
218#2325—31no—
219#2323—31no—
220#2290—31no—
221C22×D12C2311yescharacteristic
222C22×D12C2311yescharacteristic
223C22×D12C2311yescharacteristic
224C22×D12C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×C4×D3C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×Dic6C2311yescharacteristic
238C22×Dic6C2311yescharacteristic
239C3×#125—24no—
240C3×#125—24no—
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
258C2×C3×C42C2311yescharacteristic
259C2×C3×C42C2311yescharacteristic
260C2×(C2×D3)⋊C4C2311yescharacteristic
261C2×(C2×D3)⋊C4C2311yescharacteristic
262C2×(C2×D3)⋊C4C2311yescharacteristic
263C2×(C2×D3)⋊C4C2311yescharacteristic
264C2×(C2×D3)⋊C4C2311yescharacteristic
265C2×(C2×D3)⋊C4C2311yescharacteristic
266C2×(C2×D3)⋊C4C2311yescharacteristic
267C2×(C2×D3)⋊C4C2311yescharacteristic
268C2×(C2×D3)⋊C4C2311yescharacteristic
269C2×(C2×D3)⋊C4C2311yescharacteristic
270C2×(C2×D3)⋊C4C2311yescharacteristic
271C2×(C2×D3)⋊C4C2311yescharacteristic
272C2×(C2×D3)⋊C4C2311yescharacteristic
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×C4⋊Dic3C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334#898—24no—
335#898—24no—
336#898—24no—
337#898—24no—
338#897—24no—
339#897—24no—
340#897—24no—
341#896—24no—
342#895—24no—
343#895—24no—
344#894—24no—
345#894—24no—
346#894—24no—
347#894—24no—
348#893—24no—
349#893—24no—
350#893—24no—
351#893—24no—
352#892—24no—
353#892—24no—
354#892—24no—
355#892D418yescomplemented
356D3×C4⋊C4—24no—
357#890—24no—
358#890—24no—
359#887—24no—
360#875—24no—
361C4×D12—24no—
362C42×D3—24no—
363C4×Dic6—24no—
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
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
408#552—68no—
409#529—68no—
410C2×#126—31no—
411C2×#126—31no—
412C2×#126—31no—
413C2×#126—31no—
414C2×#125—31no—
415C2×#125—31no—
416C2×#125C2×D311yescharacteristic
417C2×#125C2×D311yescharacteristic
418C2×#124—31no—
419C2×#123—31no—
420C2×#123—31no—
421C2×#123—31no—
422C2×#123—31no—
423C2×C22⋊Q8—31no—
424C2×C22⋊Q8—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×#121—31no—
428C2×#121—31no—
429C2×C4×Q8—31no—
430C2×C4×Q8—31no—
431C2×C4×D4—31no—
432C2×C4×D4—31no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×#117—31no—
437C2×#117—31no—
438C2×#117—31no—
439C2×#117—31no—
440C22×C4⋊C4—31no—
441C22×C42—31no—
442#400—31no—
443#400—31no—
444#400—31no—
445#400—31no—
446#400C2×D311yescharacteristic
447#400C2×D311yescharacteristic
448#400C2×D311yescharacteristic
449#399—31no—
450#399—31no—
451#399—31no—
452#398—31no—
453#398—31no—
454#398C2×D311yescharacteristic
455#398C2×D311yescharacteristic
456#398C2×D311yescharacteristic
457#397—31no—
458#397—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#396—31no—
463#396—31no—
464#396—31no—
465#396—31no—
466#396—31no—
467#396—31no—
468#395—31no—
469#395—31no—
470#395—31no—
471#395—31no—
472#394—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#393—31no—
479#393—31no—
480#392—31no—
481#392—31no—
482#391—31no—
483#390—31no—
484#390—31no—
485#389—31no—
486#389—31no—
487#389—31no—
488#389—31no—
489#389—31no—
490#389C2×D311yescharacteristic
491#389C2×D311yescharacteristic
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#387—31no—
505#387—31no—
506#387—31no—
507#387—31no—
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387C2×D311yescharacteristic
517#387C2×D311yescharacteristic
518#387C2×D311yescharacteristic
519#387C2×D311yescharacteristic
520#386—31no—
521#386—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#385—31no—
533#385—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#384—31no—
547#383—31no—
548#382—31no—
549#382C2×D311yescharacteristic
550#381—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557C4×C4⋊C4—31no—
558C4×C4⋊C4—31no—
559C4×C22⋊C4—31no—
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563#376—31no—
564C2×#95—31no—
565C23×D3C2411yescharacteristic
566C23×D3C2411yescharacteristic
567C23×D3C2411yescharacteristic
568C23×D3C2411yescharacteristic
569C22×C3×C4C2411yescharacteristic
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×Dic3C2411yescharacteristic
585C22×Dic3C2411yescharacteristic
586C22×Dic3C2411yescharacteristic
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C2×D12—22no—
597C2×D12—22no—
598C2×D12—22no—
599C2×D12—22no—
600C2×D12—22no—
601C2×D12—22no—
602C2×D12—22no—
603C2×D12—22no—
604C2×D12—22no—
605C2×D12—22no—
606C2×D12—22no—
607C2×D12—41no—
608C2×D12—41no—
609C2×D12—41no—
610C2×D12—41no—
611C2×D12—41no—
612C2×D12—41no—
613C2×D12—41no—
614C2×C4×D3—22no—
615C2×C4×D3—22no—
616C2×C4×D3—22no—
617C2×C4×D3—22no—
618C2×C4×D3—22no—
619C2×C4×D3—22no—
620C2×C4×D3—22no—
621C2×C4×D3—22no—
622C2×C4×D3—22no—
623C2×C4×D3—22no—
624C2×C4×D3—22no—
625C2×C4×D3—22no—
626C2×C4×D3—41no—
627C2×C4×D3—41no—
628C2×C4×D3—41no—
629C2×C4×D3—41no—
630C2×C4×D3—41no—
631C2×C4×D3—41no—
632C2×C4×D3—41no—
633C2×C4×D3—41no—
634C2×C4×D3—41no—
635C2×C4×D3—41no—
636C2×C4×D3—41no—
637C2×C4×D3—41no—
638C2×C4×D3—41no—
639C2×C4×D3—41no—
640C2×C4×D3—41no—
641C2×C4×D3—41no—
642C2×C4×D3—41no—
643C2×C4×D3C2×D414yes—
644C2×Dic6—22no—
645C2×Dic6—22no—
646C2×Dic6—22no—
647C2×Dic6—41no—
648C2×Dic6—41no—
649C2×Dic6—41no—
650C3×C4⋊C4—22no—
651C3×C4⋊C4—22no—
652C3×C4⋊C4—22no—
653C3×C4⋊C4—22no—
654C3×C4⋊C4—22no—
655C3×C4⋊C4—22no—
656C3×C4⋊C4—22no—
657C3×C4⋊C4—22no—
658C3×C4⋊C4—22no—
659C3×C4⋊C4—22no—
660C3×C4⋊C4—22no—
661C3×C4⋊C4—22no—
662C3×C4⋊C4—22no—
663C3×C4⋊C4—41no—
664C3×C4⋊C4—41no—
665C3×C4⋊C4C2×D414yes—
666C3×C42—22no—
667C3×C42—22no—
668C3×C42—41no—
669(C2×D3)⋊C4—22no—
670(C2×D3)⋊C4—22no—
671(C2×D3)⋊C4—22no—
672(C2×D3)⋊C4—22no—
673(C2×D3)⋊C4—22no—
674(C2×D3)⋊C4—22no—
675(C2×D3)⋊C4—22no—
676(C2×D3)⋊C4—22no—
677(C2×D3)⋊C4—22no—
678(C2×D3)⋊C4—22no—
679(C2×D3)⋊C4—22no—
680(C2×D3)⋊C4—22no—
681(C2×D3)⋊C4—22no—
682(C2×D3)⋊C4—22no—
683(C2×D3)⋊C4—22no—
684(C2×D3)⋊C4—22no—
685(C2×D3)⋊C4—22no—
686(C2×D3)⋊C4—22no—
687(C2×D3)⋊C4—41no—
688(C2×D3)⋊C4—41no—
689(C2×D3)⋊C4—41no—
690(C2×D3)⋊C4—41no—
691(C2×D3)⋊C4—41no—
692(C2×D3)⋊C4—41no—
693(C2×D3)⋊C4—41no—
694(C2×D3)⋊C4—41no—
695(C2×D3)⋊C4—41no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4—41no—
699(C2×D3)⋊C4—41no—
700(C2×D3)⋊C4—41no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704(C2×D3)⋊C4C2×D414yes—
705(C2×D3)⋊C4C2×D414yes—
706(C2×D3)⋊C4#4114yes—
707C4⋊Dic3—22no—
708C4⋊Dic3—22no—
709C4⋊Dic3—22no—
710C4⋊Dic3—22no—
711C4⋊Dic3—22no—
712C4⋊Dic3—22no—
713C4⋊Dic3—41no—
714C4⋊Dic3C2×D414yes—
715Dic3⋊C4—22no—
716Dic3⋊C4—22no—
717Dic3⋊C4—22no—
718Dic3⋊C4—22no—
719Dic3⋊C4—22no—
720Dic3⋊C4—22no—
721Dic3⋊C4—22no—
722Dic3⋊C4—22no—
723Dic3⋊C4—41no—
724Dic3⋊C4—41no—
725Dic3⋊C4—41no—
726Dic3⋊C4—41no—
727Dic3⋊C4—41no—
728Dic3⋊C4—41no—
729Dic3⋊C4—41no—
730Dic3⋊C4—41no—
731Dic3⋊C4—41no—
732Dic3⋊C4—41no—
733C4×Dic3—22no—
734C4×Dic3—22no—
735C4×Dic3—22no—
736C4×Dic3—22no—
737C4×Dic3—22no—
738C4×Dic3—22no—
739C4×Dic3—41no—
740C4×Dic3—41no—
741C4×Dic3C2×D414yes—
742C4×Dic3C2×D414yes—
743C22×Q8—31no—
744C22×Q8—31no—
745C22×D4—31no—
746C22×D4—31no—
747C22×D4—31no—
748C22×D4—31no—
749C22×D4—31no—
750C22×D4—31no—
751C23×C4—31no—
752C23×C4—31no—
753C23×C4—31no—
754C23×C4—31no—
755C23×C4—31no—
756C23×C4—31no—
757C23×C4—31no—
758C23×C4—31no—
759C23×C4—31no—
760C23×C4—31no—
761#126—64no—
762#126—64no—
763#126—64no—
764#126—64no—
765#125—24no—
766#125—24no—
767#125—64no—
768#125—64no—
769#124—64no—
770#123—64no—
771#123—64no—
772#123—64no—
773#123—64no—
774C22⋊Q8—64no—
775C22⋊Q8—64no—
776C22⋊Q8—64no—
777C22⋊Q8—64no—
778#121—64no—
779#121—64no—
780C4×Q8—64no—
781C4×Q8—64no—
782C4×D4—64no—
783C4×D4—64no—
784C4×D4—64no—
785C4×D4—64no—
786C4×D4—64no—
787#117—38no—
788#117—64no—
789#117—64no—
790#117—64no—
791C2×C4⋊C4—31no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—64no—
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C4⋊C4C22×D311yescharacteristic
822C2×C4⋊C4C22×D311yescharacteristic
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C4⋊C4C22×D311yescharacteristic
825C2×C4⋊C4C22×D311yescharacteristic
826C2×C4⋊C4C22×D311yescharacteristic
827C2×C4⋊C4C22×D311yescharacteristic
828C2×C4⋊C4C22×D311yescharacteristic
829C2×C4⋊C4C22×D311yescharacteristic
830C2×C4⋊C4C22×D311yescharacteristic
831C2×C4⋊C4C22×D311yescharacteristic
832C2×C4⋊C4C22×D311yescharacteristic
833C2×C4⋊C4C22×D311yescharacteristic
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
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×C42—31no—
873C2×C42—31no—
874C2×C42—31no—
875C2×C42—31no—
876C2×C42—31no—
877C2×C42—31no—
878C2×C42—31no—
879C2×C42—31no—
880C2×C42—31no—
881C2×C42—31no—
882C2×C42—64no—
883C2×C42C22×D311yescharacteristic
884C2×C42C22×D311yescharacteristic
885C2×C42C22×D311yescharacteristic
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95C22×D311yescharacteristic
915#95C22×D311yescharacteristic
916#95C22×D311yescharacteristic
917#95C22×D311yescharacteristic
918#95C22×D311yescharacteristic
919#95C22×D311yescharacteristic
920#95C22×D311yescharacteristic
921#95C22×D311yescharacteristic
922#95C22×D311yescharacteristic
923#95C22×D311yescharacteristic
924#95C22×D311yescharacteristic
925#95C22×D311yescharacteristic
926#95C22×D311yescharacteristic
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930C23×C3C2511yescharacteristic
931C22×D3—21no—
932C22×D3—21no—
933C22×D3—21no—
934C22×D3—21no—
935C22×D3—21no—
936C22×D3—21no—
937C22×D3—21no—
938C22×D3—21no—
939C22×D3—21no—
940C22×D3—21no—
941C22×D3—21no—
942C22×D3—21no—
943C22×D3—21no—
944C22×D3—21no—
945C22×D3—21no—
946C22×D3—21no—
947C22×D3—21no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3C22×D412yes—
957C22×D3C2×#4112yes—
958C22×D32−1+412yes—
959C2×C3×C4—21no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—21no—
963C2×C3×C4—21no—
964C2×C3×C4—21no—
965C2×C3×C4—21no—
966C2×C3×C4—21no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—21no—
971C2×C3×C4—21no—
972C2×C3×C4—21no—
973C2×C3×C4—21no—
974C2×C3×C4—21no—
975C2×C3×C4—21no—
976C2×C3×C4—21no—
977C2×C3×C4—21no—
978C2×C3×C4—21no—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4C22×D412yes—
1001C2×C3×C4C22×D412yes—
1002C2×C3×C4C22×D412yes—
1003C2×C3×C4C2×#4112yes—
1004C2×Dic3—21no—
1005C2×Dic3—21no—
1006C2×Dic3—21no—
1007C2×Dic3—21no—
1008C2×Dic3—21no—
1009C2×Dic3—21no—
1010C2×Dic3—21no—
1011C2×Dic3—21no—
1012C2×Dic3—21no—
1013C2×Dic3—21no—
1014C2×Dic3—21no—
1015C2×Dic3—21no—
1016C2×Dic3—21no—
1017C2×Dic3—21no—
1018C2×Dic3—21no—
1019C2×Dic3—21no—
1020C2×Dic3—21no—
1021C2×Dic3—21no—
1022C2×Dic3—21no—
1023C2×Dic3—21no—
1024C2×Dic3—21no—
1025C2×Dic3—21no—
1026C2×Dic3—21no—
1027C2×Dic3—21no—
1028C2×Dic3—21no—
1029C2×Dic3—21no—
1030C2×Dic3—21no—
1031C2×Dic3—21no—
1032C2×Dic3—21no—
1033C2×Dic3—21no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3C22×D412yes—
1037C2×Dic3C22×D412yes—
1038C2×Dic3C22×D412yes—
1039C2×Dic3C2×#4112yes—
1040D12—44no—
1041D12—44no—
1042D12—44no—
1043D12—44no—
1044D12—44no—
1045D12—82no—
1046C4×D3—44no—
1047C4×D3—44no—
1048C4×D3—44no—
1049C4×D3—44no—
1050C4×D3—44no—
1051C4×D3—44no—
1052C4×D3—44no—
1053C4×D3—44no—
1054C4×D3—82no—
1055C4×D3—82no—
1056Dic6—44no—
1057Dic6—44no—
1058C24—31no—
1059C24—31no—
1060C24—31no—
1061C24—31no—
1062C2×Q8—62no—
1063C2×Q8—62no—
1064C2×Q8—62no—
1065C2×Q8—121no—
1066C2×Q8—121no—
1067C2×Q8—121no—
1068C2×D4—62no—
1069C2×D4—62no—
1070C2×D4—62no—
1071C2×D4—62no—
1072C2×D4—62no—
1073C2×D4—62no—
1074C2×D4—62no—
1075C2×D4—62no—
1076C2×D4—62no—
1077C2×D4—62no—
1078C2×D4—62no—
1079C2×D4—121no—
1080C2×D4—121no—
1081C2×D4—121no—
1082C2×D4—121no—
1083C2×D4—121no—
1084C2×D4—121no—
1085C2×D4—121no—
1086C22×C4—31no—
1087C22×C4—31no—
1088C22×C4—31no—
1089C22×C4—31no—
1090C22×C4—34no—
1091C22×C4—31no—
1092C22×C4—31no—
1093C22×C4—31no—
1094C22×C4—31no—
1095C22×C4—31no—
1096C22×C4—31no—
1097C22×C4—31no—
1098C22×C4—31no—
1099C22×C4—62no—
1100C22×C4—62no—
1101C22×C4—62no—
1102C22×C4—62no—
1103C22×C4—62no—
1104C22×C4—62no—
1105C22×C4—62no—
1106C22×C4—62no—
1107C22×C4—62no—
1108C22×C4—62no—
1109C22×C4—62no—
1110C22×C4—62no—
1111C22×C4—121no—
1112C22×C4—121no—
1113C22×C4—121no—
1114C22×C4—121no—
1115C22×C4—121no—
1116C22×C4—121no—
1117C22×C4—121no—
1118C22×C4—121no—
1119C22×C4—121no—
1120C22×C4—121no—
1121C22×C4—121no—
1122C22×C4—121no—
1123C22×C4—121no—
1124C22×C4—121no—
1125C22×C4—121no—
1126C22×C4—121no—
1127C22×C4—121no—
1128C22×C4C23×D311yescharacteristic
1129C22×C4C23×D311yescharacteristic
1130C22×C4C23×D311yescharacteristic
1131C22×C4C23×D311yescharacteristic
1132C22×C4C23×D311yescharacteristic
1133C22×C4C23×D311yescharacteristic
1134C22×C4C23×D311yescharacteristic
1135C22×C4C23×D311yescharacteristic
1136C22×C4C23×D311yescharacteristic
1137C22×C4C23×D311yescharacteristic
1138C22×C4C23×D311yescharacteristic
1139C22×C4C23×D311yescharacteristic
1140C22×C4C23×D311yescharacteristic
1141C22×C4C23×D311yescharacteristic
1142C22×C4C23×D311yescharacteristic
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—34no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—62no—
1160C4⋊C4—62no—
1161C4⋊C4—62no—
1162C4⋊C4—62no—
1163C4⋊C4—62no—
1164C4⋊C4—62no—
1165C4⋊C4—62no—
1166C4⋊C4—62no—
1167C4⋊C4—62no—
1168C4⋊C4—62no—
1169C4⋊C4—62no—
1170C4⋊C4—62no—
1171C4⋊C4—62no—
1172C4⋊C4—62no—
1173C4⋊C4—121no—
1174C4⋊C4—121no—
1175C4⋊C4—121no—
1176C4⋊C4—121no—
1177C4⋊C4—121no—
1178C4⋊C4—121no—
1179C4⋊C4—121no—
1180C4⋊C4—121no—
1181C4⋊C4—121no—
1182C4⋊C4—121no—
1183C4⋊C4—121no—
1184C4⋊C4D3×D414yes—
1185C22⋊C4—34no—
1186C22⋊C4—34no—
1187C22⋊C4—34no—
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—62no—
1202C22⋊C4—62no—
1203C22⋊C4—62no—
1204C22⋊C4—62no—
1205C22⋊C4—62no—
1206C22⋊C4—121no—
1207C22⋊C4—121no—
1208C22⋊C4—121no—
1209C22⋊C4—121no—
1210C22⋊C4—121no—
1211C22⋊C4—121no—
1212C22⋊C4—121no—
1213C22⋊C4—121no—
1214C22⋊C4—121no—
1215C22⋊C4—121no—
1216C22⋊C4—121no—
1217C22⋊C4—121no—
1218C22⋊C4—121no—
1219C22⋊C4—121no—
1220C22⋊C4—121no—
1221C22⋊C4—121no—
1222C22⋊C4—121no—
1223C42—22no—
1224C42—22no—
1225C42—34no—
1226C42—34no—
1227C42—41no—
1228C42—62no—
1229C42—62no—
1230C42—62no—
1231C42—62no—
1232C42—62no—
1233C42—62no—
1234C42—121no—
1235C42—121no—
1236C22×C3C23×D411yescharacteristic
1237C22×C3C22×#4111yescharacteristic
1238C22×C3C2×2−1+411yescharacteristic
1239C22×C3#58511yescharacteristic
1240C22×C3#58511yescharacteristic
1241C22×C3#58511yescharacteristic
1242C22×C3#58511yescharacteristic
1243C2×D3—22no—
1244C2×D3—22no—
1245C2×D3—22no—
1246C2×D3—22no—
1247C2×D3—22no—
1248C2×D3—22no—
1249C2×D3—22no—
1250C2×D3—22no—
1251C2×D3—22no—
1252C2×D3—41no—
1253C2×D3—41no—
1254C2×D3—41no—
1255C2×D3—41no—
1256C2×D3—41no—
1257C2×D3—41no—
1258C2×D3—41no—
1259C2×D3—41no—
1260C2×D3—41no—
1261C2×D3—41no—
1262C2×D3—41no—
1263C2×D3—41no—
1264C2×D3—41no—
1265C2×D3—41no—
1266C2×D3—41no—
1267C2×D3—41no—
1268C2×D3—41no—
1269C2×D3—41no—
1270C2×D3—41no—
1271C3×C4—22no—
1272C3×C4—22no—
1273C3×C4—22no—
1274C3×C4—22no—
1275C3×C4—41no—
1276C3×C4—41no—
1277C3×C4—41no—
1278C3×C4—41no—
1279C3×C4—41no—
1280C3×C4—41no—
1281C3×C4—41no—
1282C3×C4—41no—
1283C3×C4—41no—
1284C3×C4—41no—
1285C3×C4—41no—
1286Dic3—22no—
1287Dic3—22no—
1288Dic3—22no—
1289Dic3—22no—
1290Dic3—41no—
1291Dic3—41no—
1292Dic3—41no—
1293Dic3—41no—
1294Dic3—41no—
1295Dic3—41no—
1296Dic3—41no—
1297Dic3—41no—
1298C23—32no—
1299C23—32no—
1300C23—32no—
1301C23—61no—
1302C23—61no—
1303C23—61no—
1304C23—61no—
1305C23—61no—
1306C23—61no—
1307C23—61no—
1308C23—61no—
1309C23—61no—
1310C23—61no—
1311C23—61no—
1312C23—61no—
1313C23—61no—
1314C23—61no—
1315C23—61no—
1316C23—61no—
1317C23—61no—
1318C23—61no—
1319C23—61no—
1320C23—61no—
1321C23—61no—
1322C23—61no—
1323C23—61no—
1324C23—61no—
1325C23—61no—
1326C23C24×D311yescharacteristic
1327Q8—124no—
1328Q8—124no—
1329D4—124no—
1330D4—124no—
1331D4—124no—
1332D4—124no—
1333D4—124no—
1334D4—242no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—32no—
1377C2×C4—32no—
1378C2×C4—32no—
1379C2×C4—32no—
1380C2×C4—61no—
1381C2×C4—61no—
1382C2×C4—61no—
1383C2×C4—61no—
1384C2×C4—61no—
1385C2×C4—61no—
1386C2×C4—61no—
1387C2×C4—61no—
1388C2×C4—61no—
1389C2×C4—61no—
1390C2×C4—61no—
1391C2×C4—61no—
1392C2×C4—61no—
1393C2×C4—61no—
1394C2×C4—61no—
1395C2×C4—61no—
1396C2×C4—61no—
1397C2×C4—61no—
1398C2×C4—61no—
1399C2×C4—61no—
1400C2×C4—61no—
1401C2×C4—61no—
1402C2×C4—61no—
1403C2×C4—61no—
1404C2×C4—61no—
1405C2×C4—61no—
1406C2×C4—61no—
1407C2×C4—61no—
1408C2×C4—61no—
1409C2×C4—61no—
1410C2×C4—61no—
1411C2×C4—61no—
1412C2×C4—124no—
1413C2×C4—124no—
1414C2×C4—124no—
1415C2×C4—124no—
1416C2×C4—124no—
1417C2×C4—124no—
1418C2×C4—124no—
1419C2×C4—124no—
1420C2×C4—242no—
1421C2×C4—242no—
1422C2×C4C2×D3×D412yes—
1423C2×C4C2×D3×D412yes—
1424C2×C4C2×D3×D412yes—
1425C2×C4D3×#4112yes—
1426C2×C3#344911yescharacteristic
1427C2×C3D4×#4111yescharacteristic
1428C2×C3#348911yescharacteristic
1429C2×C3#349511yescharacteristic
1430C2×C3#352111yescharacteristic
1431C2×C3#355311yescharacteristic
1432C2×C3#356611yescharacteristic
1433D3—42no—
1434D3—42no—
1435D3—42no—
1436D3—81no—
1437C22—62no—
1438C22—62no—
1439C22—62no—
1440C22—62no—
1441C22—62no—
1442C22—62no—
1443C22—62no—
1444C22—62no—
1445C22—62no—
1446C22—121no—
1447C22—121no—
1448C22—121no—
1449C22—121no—
1450C22—121no—
1451C22—121no—
1452C22—121no—
1453C22—121no—
1454C22—121no—
1455C22—121no—
1456C22—121no—
1457C22—121no—
1458C22—121no—
1459C22—121no—
1460C22—121no—
1461C22—121no—
1462C22—121no—
1463C22—121no—
1464C22—121no—
1465C22C22×D3×D411yescharacteristic
1466C22C2×D3×#4111yescharacteristic
1467C22#596411yescharacteristic
1468C22D3×2−1+411yescharacteristic
1469C22#596811yescharacteristic
1470C22#596811yescharacteristic
1471C22#596811yescharacteristic
1472C4—22no—
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—62no—
1488C4—62no—
1489C4—62no—
1490C4—62no—
1491C4—121no—
1492C4—121no—
1493C4—121no—
1494C4—121no—
1495C4—121no—
1496C4—121no—
1497C4—121no—
1498C4—121no—
1499C3#3838011yescharacteristic, complemented, Sylow
1500C2—122no—
1501C2—122no—
1502C2—122no—
1503C2—241no—
1504C2#8633811yescharacteristic
1505C2#8650711yescharacteristic
1506C2#8650911yescharacteristic
1507C2#8667711yescharacteristic
1508C2#8671011yescharacteristic
1509C2#8684111yescharacteristic
1510C2#8714311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2719C2
prime radical#77753C2
hypercenter#2719D3
hypocenterC3#38380
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2719

Complements

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

NH ≅ G/Ntype
1. C2×#5694C2semidirect
2. C2×#5691C2semidirect
3. C3×#2719C2semidirect
4. #83051C2semidirect
5. #83046C2semidirect
6. #78356C2semidirect
7. #78238C2semidirect
8. #78206C2semidirect
9. #78203C2semidirect
10. #78150C2semidirect
11. #78144C2semidirect
12. #77952C2semidirect
13. #77850C2semidirect
14. #77826C2semidirect
15. #77823C2semidirect
16. #77815C2semidirect
18. #76285C2semidirect
19. #76257C2semidirect
20. #76070C2semidirect
21. #75971C2semidirect
22. #75372C2semidirect
23. #75304C2semidirect
24. #75298C2semidirect
25. #75161C2semidirect
26. #75152C2semidirect
27. #75006C2semidirect
28. #74999C2semidirect
29. #74937C2semidirect
30. #74184C2semidirect
31. #74181C2semidirect
194. #2719D3semidirect
355. #892D4semidirect
1499. C3#38380semidirect

Maximal subgroups

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

subgroupindex
C2×#56942
C2×#56912
C3×#27192
#830512
#830462
#783562
#782382
#782062
#782032
#781502
#781442
#779522
#778502
#778262
#778232
#778152
#777532
#762852
#762572
#760702
#759712
#753722
#753042
#752982
#751612
#751522
#750062
#749992
#749372
#741842
#741812
#383803