Finite Group Databasebeta

← #11234101

Subgroups — #11234101

Order 768.

2194 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2534C211yesmaximal, characteristic, complemented
2#82875C211yesmaximal, characteristic, complemented
3#82845C211yesmaximal, characteristic, complemented
4#82590C211yesmaximal, characteristic, complemented
5#82582C211yesmaximal, characteristic
6#82368C211yesmaximal, characteristic, complemented
7#82340C211yesmaximal, characteristic, complemented
8C22⋊C4×#67C211yesmaximal, characteristic, complemented
9#82110C211yesmaximal, characteristic, complemented
10#77418C211yesmaximal, characteristic, complemented
11#77379C211yesmaximal, characteristic, complemented
12#77314C211yesmaximal, characteristic, complemented
13#77305C211yesmaximal, characteristic, complemented
14#77119C211yesmaximal, characteristic, complemented
15#76916C211yesmaximal, characteristic, complemented
16#76900C211yesmaximal, characteristic, complemented
17#76893C211yesmaximal, characteristic, complemented
18#75943C211yesmaximal, characteristic, complemented
19#75935C211yesmaximal, characteristic, complemented
20#75550C211yesmaximal, characteristic, complemented
21#75458C211yesmaximal, characteristic, complemented
22#74901C211yesmaximal, characteristic, complemented
23#74805C211yesmaximal, characteristic, complemented
24#74738C211yesmaximal, characteristic, complemented
25#74676C211yesmaximal, characteristic, complemented
26#74142C211yesmaximal, characteristic, complemented
27#74055C211yesmaximal, characteristic, complemented
28#74044C211yesmaximal, characteristic, complemented
29#73936C211yesmaximal, characteristic, complemented
30#73850C211yesmaximal, characteristic, complemented
31#73841C211yesmaximal, characteristic, complemented
32#45377—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic, complemented
35C2×C3×#120C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×#217C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic, complemented
43C2×D4×Dic3C2211yescharacteristic
44C2×D4×Dic3C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic, complemented
48C2×#924C2211yescharacteristic, complemented
49C22×Dic3⋊C4C2211yescharacteristic, complemented
50C2×#897C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic, complemented
52C2×#887C2211yescharacteristic, complemented
53C2×#883C2211yescharacteristic, complemented
54C2×#883C2211yescharacteristic, complemented
55C2×#67⋊C4C2211yescharacteristic
56C2×#67⋊C4C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic, complemented
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×#878C2211yescharacteristic, complemented
61C3×#396C2211yescharacteristic
62C3×#396C2211yescharacteristic, complemented
63C3×#394C2211yescharacteristic
64C3×#394C2211yescharacteristic, complemented
65C3×#388C2211yescharacteristic
66C3×#388C2211yescharacteristic, complemented
67C3×#386C2211yescharacteristic
68C3×#386C2211yescharacteristic, complemented
69C3×#381C2211yescharacteristic, complemented
70C3×#380C2211yescharacteristic, complemented
71C3×#379C2211yescharacteristic
72#5247C2211yescharacteristic
73#5247C2211yescharacteristic
74#5223C2211yescharacteristic
75#5223C2211yescharacteristic
76#5222C2211yescharacteristic
77#5222C2211yescharacteristic, complemented
78#5220C2211yescharacteristic
79#5220C2211yescharacteristic, complemented
80#5213C2211yescharacteristic
81#5213C2211yescharacteristic
82#5213C2211yescharacteristic, complemented
83#5212C2211yescharacteristic, complemented
84#5210C2211yescharacteristic, complemented
85#5210C2211yescharacteristic, complemented
86#5210C2211yescharacteristic, complemented
87#4994C2211yescharacteristic, complemented
88#4994C2211yescharacteristic, complemented
89#4992C2211yescharacteristic, complemented
90#4989C2211yescharacteristic, complemented
91#4989C2211yescharacteristic, complemented
92#4989C2211yescharacteristic, complemented
93#4987C2211yescharacteristic, complemented
94#4987C2211yescharacteristic, complemented
95#4986C2211yescharacteristic, complemented
96#4986C2211yescharacteristic, complemented
97#4985C2211yescharacteristic, complemented
98#4980C2211yescharacteristic, complemented
99#4978C2211yescharacteristic, complemented
100#4976C2211yescharacteristic, complemented
101#4976C2211yescharacteristic, complemented
102#4975C2211yescharacteristic, complemented
103#4975C2211yescharacteristic, complemented
104#4961C2211yescharacteristic
105#4961C2211yescharacteristic
106#4961C2211yescharacteristic, complemented
107#4959C2211yescharacteristic, complemented
108#4958C2211yescharacteristic
109#4958C2211yescharacteristic
110#4958C2211yescharacteristic, complemented
111#4957C2211yescharacteristic
112#4957C2211yescharacteristic
113#4957C2211yescharacteristic
114#4957C2211yescharacteristic
115#4957C2211yescharacteristic
116#4957C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4953C2211yescharacteristic, complemented
125#4952C2211yescharacteristic
126#4952C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4951C2211yescharacteristic
129#4951C2211yescharacteristic, complemented
130#4950C2211yescharacteristic, complemented
131#4950C2211yescharacteristic, complemented
132#4949C2211yescharacteristic
133#4949C2211yescharacteristic
134#4948C2211yescharacteristic
135#4948C2211yescharacteristic
136#4948C2211yescharacteristic
137#4948C2211yescharacteristic, complemented
138#4948C2211yescharacteristic, complemented
139#4948C2211yescharacteristic, complemented
140#4947C2211yescharacteristic
141#4947C2211yescharacteristic, complemented
142#4946C2211yescharacteristic, complemented
143#4945C2211yescharacteristic
144#4945C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147#4944C2211yescharacteristic
148#4944C2211yescharacteristic, complemented
149#4943C2211yescharacteristic, complemented
150#4942C2211yescharacteristic
151#4942C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156Dic3×C22⋊C4C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158Dic3×C22⋊C4C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4933C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164#4676C2211yescharacteristic, complemented
165#4676C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4660C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4659C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4648C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2750—31no—
189#2750—31no—
190#2750—31no—
191#2750—31no—
192#2735—31no—
193#2735—31no—
194#2693—31no—
195#2693—31no—
196#2538—31no—
197#2538—31no—
198#2534—31no—
199#2534—31no—
200#2534—31no—
201#2534D311yescharacteristic, complemented
202#2497—31no—
203#2497—31no—
204#2487—31no—
205#2463—31no—
206#2463—31no—
207#2437—31no—
208#2437—31no—
209#2422—31no—
210#2422—31no—
211#2408—31no—
212#2398—31no—
213#2361—31no—
214#2361—31no—
215D4×C22⋊C4—31no—
216D4×C22⋊C4—31no—
217#2319—31no—
218#2319—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67—24no—
228C22×#67—24no—
229C22×#67—42no—
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#123—42no—
247C3×#120—42no—
248C3×C4×D4—42no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4—42no—
255C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×#217—42no—
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
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#939—24no—
294#939—24no—
295#937—42no—
296#935—42no—
297D4×Dic3—42no—
298D4×Dic3—42no—
299C4×#67—24no—
300C4×#67—42no—
301C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327#924—42no—
328C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357#897—42no—
358#896—42no—
359#887—42no—
360#883—42no—
361#883—42no—
362#67⋊C4—24no—
363#67⋊C4—42no—
364#67⋊C4—42no—
365D3×C22⋊C4—42no—
366D3×C22⋊C4—42no—
367#878—42no—
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
404C23×D4—31no—
405C2×#123—31no—
406C2×#123—31no—
407C2×#123—31no—
408C2×#123C2×D311yescharacteristic, complemented
409C2×C22⋊Q8—31no—
410C2×C22⋊Q8—31no—
411C2×C22⋊Q8—31no—
412C2×C22⋊Q8—31no—
413C2×#121—31no—
414C2×#121—31no—
415C2×#120—31no—
416C2×#120C2×D311yescharacteristic
417C2×C4×Q8—31no—
418C2×C4×D4—31no—
419C2×C4×D4—31no—
420C2×C4×D4—31no—
421C2×C4×D4—31no—
422C2×C4×D4—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4C2×D311yescharacteristic, complemented
427C22×C4⋊C4—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4C2×D311yescharacteristic
432#400—31no—
433#400—31no—
434#400—31no—
435#400—31no—
436#400—31no—
437#400—31no—
438#400—31no—
439#400—31no—
440#399—31no—
441#399—31no—
442#397—31no—
443#397—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#396—31no—
449#396—31no—
450#396—31no—
451#396—31no—
452#396—31no—
453#396—31no—
454#396—31no—
455#396—31no—
456#396—31no—
457#396—31no—
458#396C2×D311yescharacteristic
459#396C2×D311yescharacteristic, complemented
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#394—31no—
465#394—31no—
466#394C2×D311yescharacteristic
467#394C2×D311yescharacteristic, complemented
468#393—31no—
469#393—31no—
470#392—31no—
471#392—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#390—31no—
478#389—31no—
479#389—31no—
480#389—31no—
481#389—31no—
482#389—31no—
483#389—31no—
484#388—31no—
485#388—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#388—31no—
497#388—31no—
498#388C2×D311yescharacteristic
499#388C2×D311yescharacteristic, complemented
500#387—31no—
501#387—31no—
502#387—31no—
503#387—31no—
504#386—31no—
505#386—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#386C2×D311yescharacteristic
517#386C2×D311yescharacteristic, complemented
518#385—31no—
519#385—31no—
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#384—31no—
529#384—31no—
530#381—31no—
531#381—31no—
532#381—31no—
533#381C2×D311yescharacteristic, complemented
534#380—31no—
535#380—31no—
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
545#380C2×D311yescharacteristic, complemented
546#379—31no—
547#379—31no—
548#379—31no—
549#379—31no—
550#379—31no—
551#379C2×D311yescharacteristic
552C4×C4⋊C4—31no—
553C4×C4⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4—31no—
558#376—31no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—22no—
562C24×C3—41no—
563C24×C3—41no—
564C24×C3—41no—
565C24×C3—41no—
566C24×C3C2411yescharacteristic
567C24×C3C2411yescharacteristic
568C24×C3C2411yescharacteristic
569C24×C3C2411yescharacteristic
570C23×D3—22no—
571C23×D3—22no—
572C23×D3—22no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—22no—
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×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—416no—
625C2×#67#4114yes—
626C2×#67#4114yes—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×Dic6—22no—
669C2×Dic6—22no—
670C2×Dic6—41no—
671C3×C4⋊C4—22no—
672C3×C4⋊C4—41no—
673C3×C4⋊C4—41no—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
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×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692C3×C42—41no—
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—22no—
702#217—41no—
703#217—41no—
704#217—41no—
705#217—41no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—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—
730(C2×D3)⋊C4—41no—
731C4⋊Dic3—22no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737C4⋊Dic3—41no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
745Dic3⋊C4—22no—
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—
755Dic3⋊C4—41no—
756Dic3⋊C4—41no—
757Dic3⋊C4—41no—
758C4×Dic3—22no—
759C4×Dic3—22no—
760C4×Dic3—22no—
761C4×Dic3—22no—
762C4×Dic3—22no—
763C4×Dic3—41no—
764C4×Dic3—41no—
765C4×Dic3—41no—
766C25—31no—
767C25C22×D311yescharacteristic
768C22×Q8—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—31no—
772C22×D4—31no—
773C22×D4—31no—
774C22×D4—31no—
775C22×D4—64no—
776C22×D4—64no—
777C22×D4—122no—
778C22×D4C22×D311yescharacteristic
779C22×D4C22×D311yescharacteristic
780C22×D4C22×D311yescharacteristic
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4C22×D311yescharacteristic
791C23×C4C22×D311yescharacteristic
792C23×C4C22×D311yescharacteristic
793#123—42no—
794#123—122no—
795#123—122no—
796#123—122no—
797C22⋊Q8—122no—
798C22⋊Q8—122no—
799C22⋊Q8—122no—
800C22⋊Q8—122no—
801#121—64no—
802#121—64no—
803#120—42no—
804#120—122no—
805C4×Q8—122no—
806C4×D4—42no—
807C4×D4—64no—
808C4×D4—64no—
809C4×D4—122no—
810C4×D4—122no—
811C4×D4—122no—
812C4×D4—122no—
813C4×D4—122no—
814C4×D4—122no—
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⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—122no—
843C2×C4⋊C4C22×D311yescharacteristic
844C2×C4⋊C4C22×D311yescharacteristic
845C2×C4⋊C4C22×D311yescharacteristic
846C2×C4⋊C4C22×D311yescharacteristic
847C2×C4⋊C4C22×D311yescharacteristic
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—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—42no—
887C2×C22⋊C4—122no—
888C2×C22⋊C4—122no—
889C2×C22⋊C4—122no—
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C22⋊C4C22×D311yescharacteristic
894C2×C22⋊C4C22×D311yescharacteristic
895C2×C22⋊C4C22×D311yescharacteristic
896C2×C22⋊C4C22×D311yescharacteristic
897C2×C22⋊C4C22×D311yescharacteristic
898C2×C22⋊C4C22×D311yescharacteristic
899C2×C22⋊C4C22×D311yescharacteristic
900C2×C22⋊C4C22×D311yescharacteristic
901C2×C22⋊C4C22×D311yescharacteristic
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C42—31no—
907C2×C42—31no—
908C2×C42—31no—
909C2×C42—31no—
910C2×C42—31no—
911C2×C42—31no—
912C2×C42—31no—
913C2×C42—31no—
914C2×C42C22×D311yescharacteristic
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#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95C22×D311yescharacteristic
946#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
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—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—44no—
976C23×C3—44no—
977C23×C3—44no—
978C23×C3—82no—
979C23×C3—82no—
980C23×C3—82no—
981C23×C3—82no—
982C23×C3C2×#4112yes—
983C23×C3C2×#4112yes—
984C23×C3H(5,𝔽2)12yes—
985C23×C32−1+412yes—
986C23×C3C2511yescharacteristic
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—44no—
1000C22×D3—44no—
1001C22×D3—44no—
1002C22×D3—82no—
1003C22×D3—82no—
1004C22×D3—82no—
1005C22×D3—82no—
1006C22×D3C2×#4112yes—
1007C22×D3C2×#4112yes—
1008C3×D4—44no—
1009C3×D4—44no—
1010C3×D4—44no—
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—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—82no—
1044C2×C3×C4—82no—
1045C2×C3×C4—82no—
1046C2×C3×C4H(5,𝔽2)12yes—
1047#67—28no—
1048#67—28no—
1049#67—44no—
1050#67—44no—
1051#67—44no—
1052#67—44no—
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—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—44no—
1092C2×Dic3—44no—
1093C2×Dic3—82no—
1094C2×Dic3—82no—
1095C2×Dic3—82no—
1096C2×Dic3C2×#4112yes—
1097C2×Dic3C2×#4112yes—
1098C2×Dic3H(5,𝔽2)12yes—
1099C2×Dic3H(5,𝔽2)12yes—
1100C4×D3—82no—
1101C4×D3—82no—
1102C4×D3—82no—
1103C4×D3—82no—
1104Dic6—44no—
1105C24—22no—
1106C24—22no—
1107C24—22no—
1108C24—31no—
1109C24—31no—
1110C24—41no—
1111C24—41no—
1112C24—41no—
1113C24—41no—
1114C24—62no—
1115C24—62no—
1116C24—62no—
1117C24—121no—
1118C24—121no—
1119C24—121no—
1120C24—121no—
1121C24C23×D311yescharacteristic
1122C24C23×D311yescharacteristic
1123C24C23×D311yescharacteristic
1124C24C23×D311yescharacteristic
1125C2×Q8—62no—
1126C2×Q8—62no—
1127C2×Q8—121no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—34no—
1135C2×D4—34no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—121no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—1216no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—31no—
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—31no—
1171C22×C4—31no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—62no—
1223C4⋊C4—62no—
1224C4⋊C4—62no—
1225C4⋊C4—62no—
1226C4⋊C4—62no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
1239C4⋊C4—121no—
1240C4⋊C4—121no—
1241C4⋊C4—121no—
1242C4⋊C4—121no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—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—
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—
1303C42—41no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—121no—
1310C42—121no—
1311C42—121no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
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—88no—
1341C22×C3C22×#4111yescharacteristic
1342C22×C3C22×#4111yescharacteristic
1343C22×C3C2×H(5,𝔽2)11yescharacteristic
1344C22×C3C2×H(5,𝔽2)11yescharacteristic
1345C22×C3C2×H(5,𝔽2)11yescharacteristic
1346C22×C3C2×H(5,𝔽2)11yescharacteristic
1347C22×C3C2×2−1+411yescharacteristic
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—88no—
1363C3×C4—22no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374Dic3—22no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3#55114yes—
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—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—32no—
1413C23—32no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—124no—
1434C23—124no—
1435C23—124no—
1436C23—242no—
1437C23—242no—
1438C23—242no—
1439C23—242no—
1440C23#100412yes—
1441C23D3×#4112yes—
1442C23D3×#4112yes—
1443C23#101012yes—
1444C23C24×D311yescharacteristic
1445Q8—124no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—68no—
1450D4—68no—
1451D4—124no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
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—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—32no—
1488C2×C4—32no—
1489C2×C4—32no—
1490C2×C4—32no—
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—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—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—124no—
1533C2×C4—124no—
1534C2×C4—242no—
1535C2×C4—242no—
1536C2×C4—242no—
1537C2×C4—242no—
1538C2×C4—242no—
1539C2×C4—242no—
1540C2×C4—242no—
1541C2×C4#100412yes—
1542C2×C3—42no—
1543C2×C3—42no—
1544C2×C3—42no—
1545C2×C3—42no—
1546C2×C3C2×#55111yescharacteristic
1547C2×C3#351911yescharacteristic
1548C2×C3#351911yescharacteristic
1549C2×C3#352011yescharacteristic
1550C2×C3#352011yescharacteristic
1551C2×C3#353611yescharacteristic
1552C2×C3#353711yescharacteristic
1553D3—42no—
1554D3—42no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
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—41no—
1582C22—41no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—62no—
1589C22—88no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—248no—
1599C22C2×#100411yescharacteristic
1600C22C2×#100411yescharacteristic
1601C22C2×D3×#4111yescharacteristic
1602C22C2×D3×#4111yescharacteristic
1603C22C2×#101011yescharacteristic
1604C22D3×H(5,𝔽2)11yescharacteristic
1605C22D3×H(5,𝔽2)11yescharacteristic
1606C4—22no—
1607C4—34no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—62no—
1619C4—121no—
1620C4—121no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C3#4537711yescharacteristic, complemented, Sylow
1632C2—42no—
1633C2—42no—
1634C2—42no—
1635C2—42no—
1636C2—122no—
1637C2—122no—
1638C2#8595111yescharacteristic
1639C2#8604711yescharacteristic
1640C2#8630111yescharacteristic
1641C2#8663911yescharacteristic
1642C2#8664711yescharacteristic
1643C2#8679811yescharacteristic
1644C2D3×#55111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2534C2
prime radical#82582C2
hypercenter#2534D3
hypocenterC3#45377
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2534

Complements

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

NH ≅ G/Ntype
1. C3×#2534C2semidirect
2. #82875C2semidirect
3. #82845C2semidirect
4. #82590C2semidirect
6. #82368C2semidirect
7. #82340C2semidirect
8. C22⋊C4×#67C2semidirect
9. #82110C2semidirect
10. #77418C2semidirect
11. #77379C2semidirect
12. #77314C2semidirect
13. #77305C2semidirect
14. #77119C2semidirect
15. #76916C2semidirect
16. #76900C2semidirect
17. #76893C2semidirect
18. #75943C2semidirect
19. #75935C2semidirect
20. #75550C2semidirect
21. #75458C2semidirect
22. #74901C2semidirect
23. #74805C2semidirect
24. #74738C2semidirect
25. #74676C2semidirect
26. #74142C2semidirect
27. #74055C2semidirect
28. #74044C2semidirect
29. #73936C2semidirect
30. #73850C2semidirect
31. #73841C2semidirect
34. C2×C3×#123C22semidirect
36. C2×C3×C4×D4C22semidirect
42. C2×#935C22semidirect
44. C2×D4×Dic3C22semidirect
47. C2×C4×#67C22semidirect
48. C2×#924C22semidirect
49. C22×Dic3⋊C4C22semidirect
50. C2×#897C22semidirect
51. C2×#896C22semidirect
52. C2×#887C22semidirect
53. C2×#883C22semidirect
54. C2×#883C22semidirect
57. C2×#67⋊C4C22semidirect
60. C2×#878C22semidirect
62. C3×#396C22semidirect
64. C3×#394C22semidirect
66. C3×#388C22semidirect
68. C3×#386C22semidirect
69. C3×#381C22semidirect
70. C3×#380C22semidirect
77. #5222C22semidirect
79. #5220C22semidirect
82. #5213C22semidirect
83. #5212C22semidirect
84. #5210C22semidirect
85. #5210C22semidirect
86. #5210C22semidirect
87. #4994C22semidirect
88. #4994C22semidirect
89. #4992C22semidirect
90. #4989C22semidirect
91. #4989C22semidirect
92. #4989C22semidirect
93. #4987C22semidirect
94. #4987C22semidirect
95. #4986C22semidirect
96. #4986C22semidirect
97. #4985C22semidirect
98. #4980C22semidirect
99. #4978C22semidirect
100. #4976C22semidirect
101. #4976C22semidirect
102. #4975C22semidirect
103. #4975C22semidirect
106. #4961C22semidirect
107. #4959C22semidirect
110. #4958C22semidirect
124. #4953C22semidirect
126. #4952C22semidirect
127. #4952C22semidirect
129. #4951C22semidirect
130. #4950C22semidirect
131. #4950C22semidirect
137. #4948C22semidirect
138. #4948C22semidirect
139. #4948C22semidirect
141. #4947C22semidirect
142. #4946C22semidirect
144. #4945C22semidirect
145. #4945C22semidirect
146. #4945C22semidirect
148. #4944C22semidirect
149. #4943C22semidirect
153. #4942C22semidirect
154. #4942C22semidirect
155. #4942C22semidirect
158. Dic3×C22⋊C4C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
162. #4933C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. #4676C22semidirect
165. #4676C22semidirect
166. #4675C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
171. #4668C22semidirect
172. #4667C22semidirect
173. #4667C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4660C22semidirect
177. #4660C22semidirect
178. #4660C22semidirect
179. #4659C22semidirect
180. #4658C22semidirect
181. #4654C22semidirect
182. #4649C22semidirect
183. #4648C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
201. #2534D3semidirect
408. C2×#123C2×D3semidirect
426. C2×C4×D4C2×D3semidirect
459. #396C2×D3semidirect
467. #394C2×D3semidirect
499. #388C2×D3semidirect
517. #386C2×D3semidirect
533. #381C2×D3semidirect
545. #380C2×D3semidirect
1631. C3#45377semidirect

Maximal subgroups

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

subgroupindex
C3×#25342
#828752
#828452
#825902
#825822
#823682
#823402
C22⋊C4×#672
#821102
#774182
#773792
#773142
#773052
#771192
#769162
#769002
#768932
#759432
#759352
#755502
#754582
#749012
#748052
#747382
#746762
#741422
#740552
#740442
#739362
#738502
#738412
#453773