Finite Group Databasebeta

← #11043302

Subgroups — #11043302

Order 768.

2300 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5680C211yesmaximal, characteristic, complemented
2C2×#5556C211yesmaximal, characteristic, complemented
3C3×#2461C211yesmaximal, characteristic, complemented
4#82965C211yesmaximal, characteristic, complemented
5#82900C211yesmaximal, characteristic, complemented
6#82872C211yesmaximal, characteristic, complemented
7#82792C211yesmaximal, characteristic, complemented
8#82777C211yesmaximal, characteristic, complemented
9#82412C211yesmaximal, characteristic, complemented
10#77440C211yesmaximal, characteristic, complemented
11#77335C211yesmaximal, characteristic, complemented
12#77263C211yesmaximal, characteristic, complemented
13#77197C211yesmaximal, characteristic, complemented
14#77141C211yesmaximal, characteristic, complemented
15#76975C211yesmaximal, characteristic, complemented
16#76765C211yesmaximal, characteristic
17#76694C211yesmaximal, characteristic, complemented
18#76372C211yesmaximal, characteristic, complemented
19#76316C211yesmaximal, characteristic, complemented
20#75957C211yesmaximal, characteristic, complemented
21#75899C211yesmaximal, characteristic, complemented
22#75886C211yesmaximal, characteristic, complemented
23#75883C211yesmaximal, characteristic, complemented
24#75844C211yesmaximal, characteristic, complemented
25#75473C211yesmaximal, characteristic, complemented
26#74816C211yesmaximal, characteristic, complemented
27#74667C211yesmaximal, characteristic, complemented
28#74592C211yesmaximal, characteristic, complemented
29#74521C211yesmaximal, characteristic, complemented
30#73754C211yesmaximal, characteristic, complemented
31#73699C211yesmaximal, characteristic, complemented
32#38386—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#946C2211yescharacteristic, complemented
39C2×Q8×Dic3C2211yescharacteristic, complemented
40C2×#940C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#935C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic
46C2×#929C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C2×#924C2211yescharacteristic
50#5680—28no—
51#5556—28no—
52C2×#898C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic, complemented
55C2×#885C2211yescharacteristic
56C2×#884C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic, complemented
60C2×#882C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic, complemented
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×#879C2211yescharacteristic
65C2×#879C2211yescharacteristic, complemented
66C2×#877C2211yescharacteristic
67C2×#877C2211yescharacteristic, complemented
68C2×#876C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×#872C2211yescharacteristic
71C2×C42×D3C2211yescharacteristic, complemented
72C2×#870C2211yescharacteristic, complemented
73C3×#396C2211yescharacteristic, complemented
74C3×#395C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#392C2211yescharacteristic
77C3×#390C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83C3×C4×C4⋊C4C2211yescharacteristic, complemented
84#5231C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5221C2211yescharacteristic, complemented
90#5220C2211yescharacteristic, complemented
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5212C2211yescharacteristic, complemented
94#5211C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic
99#4991C2211yescharacteristic
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic
102#4990C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4988C2211yescharacteristic
108#4988C2211yescharacteristic
109#4987C2211yescharacteristic
110#4986C2211yescharacteristic, complemented
111#4984C2211yescharacteristic, complemented
112#4984C2211yescharacteristic, complemented
113#4983C2211yescharacteristic, complemented
114#4983C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4977C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic, complemented
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4953C2211yescharacteristic
144#4952C2211yescharacteristic
145#4951C2211yescharacteristic
146#4951C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4947C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4945C2211yescharacteristic
152#4945C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4944C2211yescharacteristic
156#4944C2211yescharacteristic, complemented
157#4942C2211yescharacteristic
158Dic3×C22⋊C4C2211yescharacteristic
159#4940C2211yescharacteristic
160#4940C2211yescharacteristic
161C4×(C2×D3)⋊C4C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
163#4933C2211yescharacteristic, complemented
164#4932C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4677C2211yescharacteristic
167#4676C2211yescharacteristic
168#4676C2211yescharacteristic, complemented
169#4670C2211yescharacteristic
170#4670C2211yescharacteristic
171#4669C2211yescharacteristic
172#4669C2211yescharacteristic
173#4668C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4660C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4648C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2850—31no—
193#2705—31no—
194#2702—31no—
195#2698—31no—
196#2685—31no—
197#2683—31no—
198#2681—31no—
199#2681—31no—
200#2669—31no—
201#2636—31no—
202#2630—31no—
203#2610—31no—
204#2609—31no—
205#2604—31no—
206#2602—31no—
207#2558—31no—
208#2554—31no—
209#2536—31no—
210#2534—31no—
211#2519—31no—
212#2472—31no—
213#2461D311yescharacteristic, complemented
214#2457—31no—
215#2445—31no—
216#2418—31no—
217#2346—31no—
218#2328—31no—
219#2321—31no—
220#2290—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#124—24no—
246C3×#123—42no—
247C3×C22⋊Q8—42no—
248C3×C4×D4—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×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#946—24no—
287#946—42no—
288Q8×Dic3—24no—
289#940—24no—
290#938—24no—
291#937—24no—
292#937—42no—
293#935—24no—
294D4×Dic3—24no—
295#929—24no—
296C4×#67—24no—
297C2×(C2×D3)⋊C4—24no—
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333#924—24no—
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#898—24no—
362#896—24no—
363#896—42no—
364#885—24no—
365#884—42no—
366#883—24no—
367#883—24no—
368#883—24no—
369#882—24no—
370#67⋊C4—24no—
371#67⋊C4—24no—
372D3×C22⋊C4—24no—
373#879—24no—
374#879—24no—
375#877—24no—
376#877D418yescomplemented
377#876—24no—
378C4×D12—24no—
379#872—24no—
380C42×D3—24no—
381#870—24no—
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
414#551—68no—
415C2×#127—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#124—31no—
423C2×#124C2×D311yescharacteristic
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123C2×D311yescharacteristic
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic, complemented
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4C2×D311yescharacteristic
448C2×#117—31no—
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#397—31no—
463#397—31no—
464#396—31no—
465#396—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396C2×D311yescharacteristic, complemented
472#395—31no—
473#395C2×D311yescharacteristic, complemented
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—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#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392C2×D311yescharacteristic
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390C2×D311yescharacteristic, complemented
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388C2×D311yescharacteristic
528#388C2×D311yescharacteristic, complemented
529#388C2×D311yescharacteristic, complemented
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386C2×D311yescharacteristic, complemented
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385C2×D311yescharacteristic
554#382—31no—
555#382—31no—
556#382—31no—
557#381—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562#379—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4C2×D311yescharacteristic, complemented
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569#376—31no—
570#376—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×Q8—22no—
585C2×C3×Q8—22no—
586C2×C3×Q8—41no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3C2×D414yes—
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C2×D12—22no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12#4114yes—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×Dic6—22no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—41no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4C2×D414yes—
698C3×C42—22no—
699C3×C42—22no—
700C3×C42—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217C2×D414yes—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—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)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4C2×D414yes—
766Dic3⋊C4C2×D414yes—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3C2×D414yes—
776C4×Dic3C2×D414yes—
777C25—31no—
778C22×Q8—31no—
779C22×Q8C22×D311yescharacteristic
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4C22×D311yescharacteristic
790C22×D4C22×D311yescharacteristic
791C22×D4C22×D311yescharacteristic
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801#127—64no—
802#126—64no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—24no—
808#124—64no—
809#123—42no—
810#123—64no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—64no—
815C22⋊Q8—42no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—64no—
819C22⋊Q8—122no—
820C22⋊Q8—122no—
821#121—64no—
822#121—122no—
823#120—64no—
824#120—64no—
825#120—122no—
826C4×Q8—64no—
827C4×D4—24no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833#117—38no—
834#117—64no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
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—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4—64no—
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—64no—
935C2×C42C22×D311yescharacteristic
936C2×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3C22×D412yes—
991C23×C3C2511yescharacteristic
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—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3C2×#4112yes—
1019C22×D3C2×#4112yes—
1020C3×Q8—44no—
1021C3×D4—44no—
1022C3×D4—44no—
1023C3×D4—82no—
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—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—82no—
1057C2×C3×C4—82no—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C2×#4112yes—
1061C2×C3×C4H(5,𝔽2)12yes—
1062#67—44no—
1063#67—44no—
1064#67—44no—
1065#67—82no—
1066#67—82no—
1067#67—82no—
1068#67—82no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—44no—
1105C2×Dic3—44no—
1106C2×Dic3C22×D412yes—
1107C2×Dic3C22×D412yes—
1108C2×Dic3C22×D412yes—
1109C2×Dic3C22×D412yes—
1110D12—44no—
1111D12—82no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—82no—
1117Dic6—82no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—62no—
1122C24—62no—
1123C24—121no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24C23×D311yescharacteristic
1129C24C23×D311yescharacteristic
1130C24C23×D311yescharacteristic
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—41no—
1134C2×Q8—62no—
1135C2×Q8—121no—
1136C2×Q8—121no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—34no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—62no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C2×D4—121no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—34no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
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—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—34no—
1229C4⋊C4—34no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
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—62no—
1248C4⋊C4—62no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—34no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4D3×D414yes—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—34no—
1315C42—34no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—121no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3C23×D411yescharacteristic
1346C22×C3C22×#4111yescharacteristic
1347C22×C3C2×H(5,𝔽2)11yescharacteristic
1348C22×C3#58511yescharacteristic
1349C22×C3#58511yescharacteristic
1350C22×C3#58511yescharacteristic
1351C22×C3#58511yescharacteristic
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—88no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386Dic3—22no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—41no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—32no—
1420C23—32no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—124no—
1441C23—124no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23C2×D3×D412yes—
1448C23C24×D311yescharacteristic
1449Q8—44no—
1450Q8—242no—
1451D4—44no—
1452D4—44no—
1453D4—82no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457D4—124no—
1458D4—242no—
1459D4—242no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
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—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—32no—
1496C2×C4—32no—
1497C2×C4—32no—
1498C2×C4—32no—
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—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—242no—
1543C2×C4C2×D3×D412yes—
1544C2×C4C2×D3×D412yes—
1545C2×C4#100412yes—
1546C2×C4D3×#4112yes—
1547C2×C3—42no—
1548C2×C3—81no—
1549C2×C3—81no—
1550C2×C3#344911yescharacteristic
1551C2×C3D4×#4111yescharacteristic
1552C2×C3#348811yescharacteristic
1553C2×C3#349111yescharacteristic
1554C2×C3#351411yescharacteristic
1555C2×C3#355111yescharacteristic
1556C2×C3#356611yescharacteristic
1557D3—42no—
1558D3—42no—
1559D3—81no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—62no—
1582C22—62no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—248no—
1603C22C22×D3×D411yescharacteristic
1604C22C2×#100411yescharacteristic
1605C22C2×D3×#4111yescharacteristic
1606C22#596411yescharacteristic
1607C22#596411yescharacteristic
1608C22#596611yescharacteristic
1609C22#596811yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—62no—
1623C4—62no—
1624C4—62no—
1625C4—62no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3838611yescharacteristic, complemented, Sylow
1636C2—42no—
1637C2—81no—
1638C2—81no—
1639C2—122no—
1640C2—122no—
1641C2—241no—
1642C2#8603511yescharacteristic
1643C2#8624611yescharacteristic
1644C2#8654611yescharacteristic
1645C2#8660711yescharacteristic
1646C2#8667411yescharacteristic
1647C2#8672711yescharacteristic
1648C2#8681611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2461C2
prime radical#76765C2
hypercenter#2461D3
hypocenterC3#38386
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2461

Complements

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

NH ≅ G/Ntype
1. C2×#5680C2semidirect
2. C2×#5556C2semidirect
3. C3×#2461C2semidirect
4. #82965C2semidirect
5. #82900C2semidirect
6. #82872C2semidirect
7. #82792C2semidirect
8. #82777C2semidirect
9. #82412C2semidirect
10. #77440C2semidirect
11. #77335C2semidirect
12. #77263C2semidirect
13. #77197C2semidirect
14. #77141C2semidirect
15. #76975C2semidirect
17. #76694C2semidirect
18. #76372C2semidirect
19. #76316C2semidirect
20. #75957C2semidirect
21. #75899C2semidirect
22. #75886C2semidirect
23. #75883C2semidirect
24. #75844C2semidirect
25. #75473C2semidirect
26. #74816C2semidirect
27. #74667C2semidirect
28. #74592C2semidirect
29. #74521C2semidirect
30. #73754C2semidirect
31. #73699C2semidirect
35. C2×C3×C22⋊Q8C22semidirect
38. C2×#946C22semidirect
39. C2×Q8×Dic3C22semidirect
54. C2×#896C22semidirect
59. C2×#883C22semidirect
62. C2×#67⋊C4C22semidirect
65. C2×#879C22semidirect
67. C2×#877C22semidirect
71. C2×C42×D3C22semidirect
72. C2×#870C22semidirect
73. C3×#396C22semidirect
74. C3×#395C22semidirect
77. C3×#390C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#386C22semidirect
83. C3×C4×C4⋊C4C22semidirect
89. #5221C22semidirect
90. #5220C22semidirect
92. #5213C22semidirect
93. #5212C22semidirect
97. #4994C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
110. #4986C22semidirect
111. #4984C22semidirect
112. #4984C22semidirect
113. #4983C22semidirect
114. #4983C22semidirect
115. #4982C22semidirect
116. #4982C22semidirect
117. #4979C22semidirect
118. #4977C22semidirect
119. #4976C22semidirect
124. #4961C22semidirect
130. #4959C22semidirect
136. #4957C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
146. #4951C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4947C22semidirect
150. #4946C22semidirect
152. #4945C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
156. #4944C22semidirect
162. C4×(C2×D3)⋊C4C22semidirect
163. #4933C22semidirect
164. #4932C22semidirect
165. C4×Dic3⋊C4C22semidirect
168. #4676C22semidirect
179. #4660C22semidirect
180. #4654C22semidirect
181. #4654C22semidirect
182. #4654C22semidirect
183. #4650C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4648C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
213. #2461D3semidirect
376. #877D4semidirect
435. C2×C22⋊Q8C2×D3semidirect
471. #396C2×D3semidirect
473. #395C2×D3semidirect
502. #390C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×D3semidirect
548. #386C2×D3semidirect
565. C4×C4⋊C4C2×D3semidirect
1635. C3#38386semidirect

Maximal subgroups

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

subgroupindex
C2×#56802
C2×#55562
C3×#24612
#829652
#829002
#828722
#827922
#827772
#824122
#774402
#773352
#772632
#771972
#771412
#769752
#767652
#766942
#763722
#763162
#759572
#758992
#758862
#758832
#758442
#754732
#748162
#746672
#745922
#745212
#737542
#736992
#383863