Finite Group Databasebeta

← #11004035

Subgroups — #11004035

Order 768.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2472C211yesmaximal, characteristic, complemented
2#82987C211yesmaximal, characteristic, complemented
3#82984C211yesmaximal, characteristic, complemented
4#82822C211yesmaximal, characteristic, complemented
5#82781C211yesmaximal, characteristic, complemented
6#82602C211yesmaximal, characteristic, complemented
7#82582C211yesmaximal, characteristic
8#82112C211yesmaximal, characteristic, complemented
9C2×#4958C211yesmaximal, characteristic, complemented
10#77608C211yesmaximal, characteristic, complemented
11#77587C211yesmaximal, characteristic, complemented
12#77045C211yesmaximal, characteristic, complemented
13#77030C211yesmaximal, characteristic, complemented
14#77012C211yesmaximal, characteristic, complemented
15#77000C211yesmaximal, characteristic, complemented
16#76838C211yesmaximal, characteristic, complemented
17#76835C211yesmaximal, characteristic, complemented
18#76389C211yesmaximal, characteristic, complemented
19#76386C211yesmaximal, characteristic, complemented
20#75795C211yesmaximal, characteristic, complemented
21#75747C211yesmaximal, characteristic, complemented
22#75701C211yesmaximal, characteristic, complemented
23#75679C211yesmaximal, characteristic, complemented
24#74906C211yesmaximal, characteristic, complemented
25#74763C211yesmaximal, characteristic, complemented
26#74727C211yesmaximal, characteristic, complemented
27#74663C211yesmaximal, characteristic, complemented
28#73846C211yesmaximal, characteristic, complemented
29#73827C211yesmaximal, characteristic, complemented
30#73596C211yesmaximal, characteristic, complemented
31#73447C211yesmaximal, characteristic, complemented
32#36793—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C24×Dic3C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic, complemented
43C2×#935C2211yescharacteristic, complemented
44C2×D4×Dic3C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C2×#885C2211yescharacteristic
48C2×#885C2211yescharacteristic
49C2×#885C2211yescharacteristic, complemented
50C2×#879C2211yescharacteristic, complemented
51C2×#878C2211yescharacteristic
52C2×#878C2211yescharacteristic
53C2×#878C2211yescharacteristic, complemented
54C2×#878C2211yescharacteristic, complemented
55C2×#876C2211yescharacteristic, complemented
56C3×#397C2211yescharacteristic, complemented
57C3×#394C2211yescharacteristic, complemented
58C3×#394C2211yescharacteristic, complemented
59C3×#393C2211yescharacteristic, complemented
60C3×#390C2211yescharacteristic, complemented
61C3×#388C2211yescharacteristic, complemented
62C3×#388C2211yescharacteristic, complemented
63C3×#386C2211yescharacteristic
64C3×#386C2211yescharacteristic
65C3×#379C2211yescharacteristic
66C3×C4×C22⋊C4C2211yescharacteristic
67#5247C2211yescharacteristic
68#5247C2211yescharacteristic
69#5231C2211yescharacteristic, complemented
70#5231C2211yescharacteristic, complemented
71#5230C2211yescharacteristic, complemented
72#5229C2211yescharacteristic, complemented
73#5223C2211yescharacteristic
74#5223C2211yescharacteristic
75#5220C2211yescharacteristic
76#5220C2211yescharacteristic
77#5220C2211yescharacteristic, complemented
78#5220C2211yescharacteristic, complemented
79#5212C2211yescharacteristic
80#5210C2211yescharacteristic
81#5210C2211yescharacteristic
82C4×#217C2211yescharacteristic
83C2×C3⋊#95C2211yescharacteristic
84C2×C3⋊#95C2211yescharacteristic
85#4994C2211yescharacteristic, complemented
86#4994C2211yescharacteristic, complemented
87#4994C2211yescharacteristic, complemented
88#4994C2211yescharacteristic, complemented
89#4993C2211yescharacteristic, complemented
90#4993C2211yescharacteristic, complemented
91#4983C2211yescharacteristic, complemented
92#4981C2211yescharacteristic, complemented
93#4979C2211yescharacteristic, complemented
94#4976C2211yescharacteristic, complemented
95#4976C2211yescharacteristic, complemented
96#4973C2211yescharacteristic, complemented
97#4961C2211yescharacteristic
98#4961C2211yescharacteristic
99#4961C2211yescharacteristic
100#4961C2211yescharacteristic
101#4961C2211yescharacteristic, complemented
102#4961C2211yescharacteristic, complemented
103#4961C2211yescharacteristic, complemented
104#4959C2211yescharacteristic
105#4959C2211yescharacteristic
106#4959C2211yescharacteristic, complemented
107#4959C2211yescharacteristic, complemented
108#4959C2211yescharacteristic, complemented
109#4958C2211yescharacteristic
110#4958C2211yescharacteristic
111#4958C2211yescharacteristic
112#4958C2211yescharacteristic
113#4958C2211yescharacteristic
114#4958C2211yescharacteristic
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic, complemented
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4953C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4951C2211yescharacteristic, complemented
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic, complemented
131#4950C2211yescharacteristic, complemented
132#4950C2211yescharacteristic, complemented
133#4949C2211yescharacteristic, complemented
134#4948C2211yescharacteristic, complemented
135#4947C2211yescharacteristic, complemented
136#4946C2211yescharacteristic
137#4946C2211yescharacteristic
138#4946C2211yescharacteristic
139#4946C2211yescharacteristic, complemented
140#4946C2211yescharacteristic, complemented
141#4946C2211yescharacteristic, complemented
142#4946C2211yescharacteristic, complemented
143#4946C2211yescharacteristic, complemented
144#4945C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4944C2211yescharacteristic, complemented
147#4944C2211yescharacteristic, complemented
148#4943C2211yescharacteristic, complemented
149#4943C2211yescharacteristic, complemented
150#4943C2211yescharacteristic, complemented
151#4942C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156Dic3×C22⋊C4C2211yescharacteristic
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4933C2211yescharacteristic, complemented
161#4933C2211yescharacteristic, complemented
162#4929C2211yescharacteristic, complemented
163#4928C2211yescharacteristic, complemented
164#4676C2211yescharacteristic, complemented
165#4675C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4675C2211yescharacteristic, complemented
171#4674C2211yescharacteristic, complemented
172#4674C2211yescharacteristic, complemented
173#4673C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4660C2211yescharacteristic, complemented
177#4656C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4651C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2849—31no—
189#2848—31no—
190#2796—31no—
191#2761—31no—
192#2757—31no—
193#2751—31no—
194#2737—31no—
195#2730—31no—
196#2723—31no—
197#2715—31no—
198#2712—31no—
199#2710—31no—
200#2705—31no—
201#2701—31no—
202#2700—31no—
203#2691—31no—
204#2686—31no—
205#2672—31no—
206#2626—31no—
207#2622—31no—
208#2564—31no—
209#2549—31no—
210#2480—31no—
211#2480—31no—
212#2472—31no—
213#2472D311yescharacteristic, complemented
214#2435—31no—
215#2408—31no—
216#2329—31no—
217#2318—31no—
218C2×#386—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67—24no—
228C22×#67—42no—
229C22×#67—42no—
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3—42no—
237C23×Dic3—42no—
238C23×Dic3—42no—
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C22×Dic6C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#124—42no—
250C3×C22⋊Q8—42no—
251C3×#120—42no—
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#939—42no—
293#939—42no—
294#937—42no—
295#935—42no—
296#935—42no—
297D4×Dic3—24no—
298C2×(C2×D3)⋊C4—42no—
299C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352#885—42no—
353#885—42no—
354#885—42no—
355#879—42no—
356#878—24no—
357#878—42no—
358#878—42no—
359#878—42no—
360#876—42no—
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
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
401C23×D4—31no—
402C24×C4—31no—
403C2×#126—31no—
404C2×#126—31no—
405C2×#124—31no—
406C2×#124—31no—
407C2×#124—31no—
408C2×#124C2×D311yescharacteristic, complemented
409C2×#123—31no—
410C2×#123—31no—
411C2×C22⋊Q8—31no—
412C2×C22⋊Q8—31no—
413C2×C22⋊Q8—31no—
414C2×C22⋊Q8—31no—
415C2×C22⋊Q8C2×D311yescharacteristic
416C2×#121—31no—
417C2×#121—31no—
418C2×#120—31no—
419C2×#120C2×D311yescharacteristic
420C2×C4×D4—31no—
421C22×C22⋊C4—31no—
422C22×C22⋊C4—31no—
423C22×C22⋊C4C2×D311yescharacteristic
424#400—31no—
425#399—31no—
426#399—31no—
427#399—31no—
428#398—31no—
429#398—31no—
430#397—31no—
431#397—31no—
432#397—31no—
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397—31no—
440#397—31no—
441#397C2×D311yescharacteristic, complemented
442#396—31no—
443#396—31no—
444#396—31no—
445#396—31no—
446#396—31no—
447#396—31no—
448#395—31no—
449#395—31no—
450#395—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394C2×D311yescharacteristic, complemented
464#394C2×D311yescharacteristic, complemented
465#393—31no—
466#393—31no—
467#393—31no—
468#393—31no—
469#393C2×D311yescharacteristic, complemented
470#392—31no—
471#392—31no—
472#391—31no—
473#391—31no—
474#391—31no—
475#391—31no—
476#390—31no—
477#390—31no—
478#390—31no—
479#390—31no—
480#390—31no—
481#390C2×D311yescharacteristic, complemented
482#389—31no—
483#389—31no—
484#389—31no—
485#389—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388C2×D311yescharacteristic, complemented
497#388C2×D311yescharacteristic, complemented
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#387—31no—
503#387—31no—
504#387—31no—
505#387—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386C2×D311yescharacteristic
519#386C2×D311yescharacteristic
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#383—31no—
535#382—31no—
536#381—31no—
537#381—31no—
538#381—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
545#379—31no—
546#379—31no—
547#379—31no—
548#379—31no—
549#379—31no—
550#379C2×D311yescharacteristic
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4C2×D311yescharacteristic
554C2×#95—31no—
555C2×#95—31no—
556C24×C3—22no—
557C24×C3—22no—
558C24×C3—22no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—41no—
562C24×C3—41no—
563C24×C3C2411yescharacteristic
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—22no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×Q8—41no—
577C2×C3×Q8—41no—
578C2×C3×Q8—41no—
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—41no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C2×C3×D4—41no—
588C22×C3×C4—22no—
589C22×C3×C4—22no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4C2411yescharacteristic
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
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—41no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—416no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3—41no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—416no—
648C22×Dic3#4114yes—
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C2×Dic6—22no—
664C2×Dic6—22no—
665C2×Dic6—41no—
666C2×Dic6—41no—
667C2×Dic6—41no—
668C2×Dic6—41no—
669C3×C4⋊C4—41no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C22⋊C4—22no—
673C3×C22⋊C4—22no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—41no—
680C3×C22⋊C4—41no—
681C3×C22⋊C4—41no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C42—41no—
690C3×C42—41no—
691#217—22no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—22no—
696#217—22no—
697#217—22no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—41no—
702#217—41no—
703#217—41no—
704#217—41no—
705#217—41no—
706#217—41no—
707#217—41no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—41no—
711(C2×D3)⋊C4—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730C4⋊Dic3—22no—
731C4⋊Dic3—22no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750Dic3⋊C4—41no—
751Dic3⋊C4—41no—
752Dic3⋊C4—41no—
753Dic3⋊C4—41no—
754Dic3⋊C4—41no—
755C4×Dic3—22no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C4×Dic3—41no—
760C25—31no—
761C25C22×D311yescharacteristic
762C22×Q8—31no—
763C22×Q8—31no—
764C22×Q8C22×D311yescharacteristic
765C22×D4—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—64no—
772C22×D4—122no—
773C22×D4—122no—
774C22×D4C22×D311yescharacteristic
775C22×D4C22×D311yescharacteristic
776C22×D4C22×D311yescharacteristic
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4—31no—
785C23×C4—122no—
786C23×C4—122no—
787C23×C4—122no—
788C23×C4C22×D311yescharacteristic
789C23×C4C22×D311yescharacteristic
790#126—122no—
791#126—122no—
792#124—42no—
793#124—122no—
794#124—122no—
795#124—122no—
796#123—122no—
797#123—122no—
798C22⋊Q8—42no—
799C22⋊Q8—64no—
800C22⋊Q8—122no—
801C22⋊Q8—122no—
802C22⋊Q8—122no—
803#121—122no—
804#121—122no—
805#120—42no—
806#120—122no—
807C4×D4—64no—
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—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4C22×D311yescharacteristic
834C2×C4⋊C4C22×D311yescharacteristic
835C2×C4⋊C4C22×D311yescharacteristic
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×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4—122no—
877C2×C22⋊C4—122no—
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C22⋊C4C22×D311yescharacteristic
894C2×C22⋊C4C22×D311yescharacteristic
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—31no—
899C2×C42—31no—
900C2×C42C22×D311yescharacteristic
901C2×C42C22×D311yescharacteristic
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#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941#95C22×D311yescharacteristic
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—28no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
950C23×C3—21no—
951C23×C3—21no—
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—44no—
967C23×C3—44no—
968C23×C3—44no—
969C23×C3—44no—
970C23×C3—44no—
971C23×C3—44no—
972C23×C3C2×#4112yes—
973C23×C3H(5,𝔽2)12yes—
974C23×C3H(5,𝔽2)12yes—
975C23×C3H(5,𝔽2)12yes—
976C23×C32−1+412yes—
977C23×C3C2511yescharacteristic
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—44no—
993C22×D3—44no—
994C22×D3—44no—
995C22×D3—82no—
996C22×D3—82no—
997C22×D3—82no—
998C22×D3—82no—
999C3×Q8—82no—
1000C3×D4—44no—
1001C3×D4—82no—
1002C3×D4—82no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—82no—
1037C2×C3×C4—82no—
1038#67—44no—
1039#67—44no—
1040#67—44no—
1041#67—44no—
1042#67—82no—
1043#67—82no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
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—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—44no—
1084C2×Dic3—44no—
1085C2×Dic3—44no—
1086C2×Dic3—44no—
1087C2×Dic3—44no—
1088C2×Dic3—44no—
1089C2×Dic3—44no—
1090C2×Dic3—82no—
1091C2×Dic3C2×#4112yes—
1092C2×Dic3C2×#4112yes—
1093C2×Dic3H(5,𝔽2)12yes—
1094Dic6—82no—
1095Dic6—82no—
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—22no—
1100C24—22no—
1101C24—31no—
1102C24—31no—
1103C24—41no—
1104C24—41no—
1105C24—62no—
1106C24—62no—
1107C24—62no—
1108C24—121no—
1109C24—121no—
1110C24—121no—
1111C24—121no—
1112C24C23×D311yescharacteristic
1113C24C23×D311yescharacteristic
1114C24C23×D311yescharacteristic
1115C24C23×D311yescharacteristic
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—41no—
1119C2×Q8—62no—
1120C2×Q8—62no—
1121C2×Q8—121no—
1122C2×Q8—121no—
1123C2×Q8—121no—
1124C2×Q8—121no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
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—121no—
1143C2×D4—121no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
1151C2×D4—121no—
1152C2×D4—1216no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—34no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—1216no—
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—62no—
1213C4⋊C4—62no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—121no—
1219C4⋊C4—121no—
1220C4⋊C4—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—62no—
1255C22⋊C4—62no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C42—41no—
1294C42—41no—
1295C42—62no—
1296C42—121no—
1297C42—121no—
1298C42—121no—
1299C42—121no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—22no—
1307C22×C3—22no—
1308C22×C3—22no—
1309C22×C3—22no—
1310C22×C3—22no—
1311C22×C3—22no—
1312C22×C3—416no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3#54214yes—
1329C22×C3C22×#4111yescharacteristic
1330C22×C3C2×H(5,𝔽2)11yescharacteristic
1331C22×C3C2×H(5,𝔽2)11yescharacteristic
1332C22×C3C2×H(5,𝔽2)11yescharacteristic
1333C22×C3C2×H(5,𝔽2)11yescharacteristic
1334C22×C3C2×2−1+411yescharacteristic
1335C22×C3#58511yescharacteristic
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—88no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355C3×C4—41no—
1356C3×C4—41no—
1357C3×C4—41no—
1358C3×C4—41no—
1359C3×C4—41no—
1360C3×C4—41no—
1361C3×C4—41no—
1362Dic3—22no—
1363Dic3—22no—
1364Dic3—22no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—28no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—44no—
1405C23—44no—
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—61no—
1419C23—61no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—242no—
1424C23—242no—
1425C23—242no—
1426C23—242no—
1427C23#100412yes—
1428C23#100412yes—
1429C23D3×#4112yes—
1430C23#100912yes—
1431C23#101012yes—
1432C23C24×D311yescharacteristic
1433Q8—82no—
1434Q8—242no—
1435Q8—242no—
1436D4—44no—
1437D4—82no—
1438D4—82no—
1439D4—124no—
1440D4—124no—
1441D4—124no—
1442D4—124no—
1443D4—242no—
1444D4—242no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—32no—
1479C2×C4—32no—
1480C2×C4—32no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
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—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—124no—
1523C2×C4—124no—
1524C2×C4—124no—
1525C2×C4—124no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—242no—
1530C2×C3—24no—
1531C2×C3—42no—
1532C2×C3—42no—
1533C2×C3—81no—
1534C2×C3C2×#54211yescharacteristic
1535C2×C3#349011yescharacteristic
1536C2×C3#350611yescharacteristic
1537C2×C3#353211yescharacteristic
1538C2×C3#353411yescharacteristic
1539C2×C3#353511yescharacteristic
1540C2×C3#353611yescharacteristic
1541D3—81no—
1542D3—81no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—248no—
1586C22#566914yes—
1587C22C2×#100411yescharacteristic
1588C22C2×#100411yescharacteristic
1589C22C2×D3×#4111yescharacteristic
1590C22C2×#100911yescharacteristic
1591C22C2×#101011yescharacteristic
1592C22D3×H(5,𝔽2)11yescharacteristic
1593C22#596611yescharacteristic
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—62no—
1606C4—62no—
1607C4—62no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C3#3679311yescharacteristic, complemented, Sylow
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—241no—
1625C2—241no—
1626C2#8604311yescharacteristic
1627C2C2×#566911yescharacteristic
1628C2#8639111yescharacteristic
1629C2#8661311yescharacteristic
1630C2#8664711yescharacteristic
1631C2#8666711yescharacteristic
1632C2#8680211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2472C2
prime radical#82582C2
hypercenter#2472D3
hypocenterC3#36793
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C3×#2472C2semidirect
2. #82987C2semidirect
3. #82984C2semidirect
4. #82822C2semidirect
5. #82781C2semidirect
6. #82602C2semidirect
8. #82112C2semidirect
9. C2×#4958C2semidirect
10. #77608C2semidirect
11. #77587C2semidirect
12. #77045C2semidirect
13. #77030C2semidirect
14. #77012C2semidirect
15. #77000C2semidirect
16. #76838C2semidirect
17. #76835C2semidirect
18. #76389C2semidirect
19. #76386C2semidirect
20. #75795C2semidirect
21. #75747C2semidirect
22. #75701C2semidirect
23. #75679C2semidirect
24. #74906C2semidirect
25. #74763C2semidirect
26. #74727C2semidirect
27. #74663C2semidirect
28. #73846C2semidirect
29. #73827C2semidirect
30. #73596C2semidirect
31. #73447C2semidirect
35. C2×C3×#124C22semidirect
42. C2×#935C22semidirect
43. C2×#935C22semidirect
49. C2×#885C22semidirect
50. C2×#879C22semidirect
53. C2×#878C22semidirect
54. C2×#878C22semidirect
55. C2×#876C22semidirect
56. C3×#397C22semidirect
57. C3×#394C22semidirect
58. C3×#394C22semidirect
59. C3×#393C22semidirect
60. C3×#390C22semidirect
61. C3×#388C22semidirect
62. C3×#388C22semidirect
69. #5231C22semidirect
70. #5231C22semidirect
71. #5230C22semidirect
72. #5229C22semidirect
77. #5220C22semidirect
78. #5220C22semidirect
85. #4994C22semidirect
86. #4994C22semidirect
87. #4994C22semidirect
88. #4994C22semidirect
89. #4993C22semidirect
90. #4993C22semidirect
91. #4983C22semidirect
92. #4981C22semidirect
93. #4979C22semidirect
94. #4976C22semidirect
95. #4976C22semidirect
96. #4973C22semidirect
101. #4961C22semidirect
102. #4961C22semidirect
103. #4961C22semidirect
106. #4959C22semidirect
107. #4959C22semidirect
108. #4959C22semidirect
121. #4957C22semidirect
125. #4953C22semidirect
126. #4952C22semidirect
127. #4952C22semidirect
128. #4951C22semidirect
130. #4950C22semidirect
131. #4950C22semidirect
132. #4950C22semidirect
133. #4949C22semidirect
134. #4948C22semidirect
135. #4947C22semidirect
139. #4946C22semidirect
140. #4946C22semidirect
141. #4946C22semidirect
142. #4946C22semidirect
143. #4946C22semidirect
144. #4945C22semidirect
145. #4945C22semidirect
146. #4944C22semidirect
147. #4944C22semidirect
148. #4943C22semidirect
149. #4943C22semidirect
150. #4943C22semidirect
153. #4942C22semidirect
154. #4942C22semidirect
155. #4942C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4933C22semidirect
161. #4933C22semidirect
162. #4929C22semidirect
163. #4928C22semidirect
164. #4676C22semidirect
165. #4675C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4675C22semidirect
170. #4675C22semidirect
171. #4674C22semidirect
172. #4674C22semidirect
173. #4673C22semidirect
174. #4670C22semidirect
175. #4669C22semidirect
176. #4660C22semidirect
177. #4656C22semidirect
178. #4655C22semidirect
179. #4655C22semidirect
180. #4654C22semidirect
181. #4654C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4651C22semidirect
185. #4650C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
213. #2472D3semidirect
408. C2×#124C2×D3semidirect
441. #397C2×D3semidirect
463. #394C2×D3semidirect
464. #394C2×D3semidirect
469. #393C2×D3semidirect
481. #390C2×D3semidirect
496. #388C2×D3semidirect
497. #388C2×D3semidirect
1619. C3#36793semidirect

Maximal subgroups

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

subgroupindex
C3×#24722
#829872
#829842
#828222
#827812
#826022
#825822
#821122
C2×#49582
#776082
#775872
#770452
#770302
#770122
#770002
#768382
#768352
#763892
#763862
#757952
#757472
#757012
#756792
#749062
#747632
#747272
#746632
#738462
#738272
#735962
#734472
#367933