Finite Group Databasebeta

← #11043602

Subgroups — #11043602

Order 768.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2359C211yesmaximal, characteristic, complemented
2#82912C211yesmaximal, characteristic, complemented
3#82894C211yesmaximal, characteristic, complemented
4#82403C211yesmaximal, characteristic
5#82354C211yesmaximal, characteristic, complemented
6#82271C211yesmaximal, characteristic, complemented
7#82267C211yesmaximal, characteristic, complemented
8#76277C211yesmaximal, characteristic, complemented
9#76111C211yesmaximal, characteristic, complemented
10#75949C211yesmaximal, characteristic, complemented
11#75904C211yesmaximal, characteristic, complemented
12#75884C211yesmaximal, characteristic, complemented
13#75740C211yesmaximal, characteristic, complemented
14#75434C211yesmaximal, characteristic, complemented
15#75433C211yesmaximal, characteristic, complemented
16#75386C211yesmaximal, characteristic, complemented
17#75369C211yesmaximal, characteristic, complemented
18#74728C211yesmaximal, characteristic, complemented
19#74690C211yesmaximal, characteristic, complemented
20#74638C211yesmaximal, characteristic, complemented
21#74599C211yesmaximal, characteristic, complemented
22#74512C211yesmaximal, characteristic, complemented
23#74459C211yesmaximal, characteristic, complemented
24#73765C211yesmaximal, characteristic, complemented
25#73739C211yesmaximal, characteristic, complemented
26#73605C211yesmaximal, characteristic, complemented
27#73603C211yesmaximal, characteristic, complemented
28#73596C211yesmaximal, characteristic, complemented
29#73449C211yesmaximal, characteristic, complemented
30C2×#4665C211yesmaximal, characteristic, complemented
31#73350C211yesmaximal, characteristic, complemented
32#38396—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#935C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#926C2211yescharacteristic
47C2×#924C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#885C2211yescharacteristic, complemented
51C2×D3×C22⋊C4C2211yescharacteristic
52C2×#876C2211yescharacteristic, complemented
53C3×#389C2211yescharacteristic, complemented
54C3×#388C2211yescharacteristic, complemented
55C3×#388C2211yescharacteristic, complemented
56C3×#387C2211yescharacteristic, complemented
57C3×#387C2211yescharacteristic, complemented
58C3×#386C2211yescharacteristic
59C3×#385C2211yescharacteristic
60C3×#385C2211yescharacteristic, complemented
61C3×C4×C4⋊C4C2211yescharacteristic, complemented
62C3×C4×C22⋊C4C2211yescharacteristic
63C3×C4×C22⋊C4C2211yescharacteristic, complemented
64C2×C3×#95C2211yescharacteristic
65#5220C2211yescharacteristic
66#5212C2211yescharacteristic
67#5211C2211yescharacteristic
68#5211C2211yescharacteristic, complemented
69#5210C2211yescharacteristic
70#5210C2211yescharacteristic
71#5210C2211yescharacteristic, complemented
72C2×C3⋊#95C2211yescharacteristic
73#4994C2211yescharacteristic, complemented
74#4994C2211yescharacteristic, complemented
75#4991C2211yescharacteristic
76#4991C2211yescharacteristic
77#4991C2211yescharacteristic
78#4991C2211yescharacteristic
79#4990C2211yescharacteristic, complemented
80#4990C2211yescharacteristic, complemented
81#4990C2211yescharacteristic, complemented
82#4990C2211yescharacteristic, complemented
83#4989C2211yescharacteristic, complemented
84#4989C2211yescharacteristic, complemented
85#4989C2211yescharacteristic, complemented
86#4989C2211yescharacteristic, complemented
87#4989C2211yescharacteristic, complemented
88#4989C2211yescharacteristic, complemented
89#4987C2211yescharacteristic, complemented
90#4987C2211yescharacteristic, complemented
91#4987C2211yescharacteristic, complemented
92#4987C2211yescharacteristic, complemented
93#4986C2211yescharacteristic, complemented
94#4985C2211yescharacteristic, complemented
95#4985C2211yescharacteristic, complemented
96#4983C2211yescharacteristic, complemented
97#4980C2211yescharacteristic, complemented
98#4978C2211yescharacteristic, complemented
99#4961C2211yescharacteristic, complemented
100#4961C2211yescharacteristic, complemented
101#4961C2211yescharacteristic, complemented
102#4960C2211yescharacteristic
103#4960C2211yescharacteristic
104#4959C2211yescharacteristic, complemented
105#4959C2211yescharacteristic, complemented
106#4959C2211yescharacteristic, complemented
107#4957C2211yescharacteristic, complemented
108#4957C2211yescharacteristic, complemented
109#4957C2211yescharacteristic, complemented
110#4956C2211yescharacteristic, complemented
111#4956C2211yescharacteristic, complemented
112#4956C2211yescharacteristic, complemented
113#4956C2211yescharacteristic, complemented
114#4956C2211yescharacteristic, complemented
115#4956C2211yescharacteristic, complemented
116#4955C2211yescharacteristic
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4952C2211yescharacteristic, complemented
122#4952C2211yescharacteristic, complemented
123#4946C2211yescharacteristic
124#4943C2211yescharacteristic
125#4943C2211yescharacteristic
126#4943C2211yescharacteristic
127#4942C2211yescharacteristic
128Dic3×C22⋊C4C2211yescharacteristic
129#4940C2211yescharacteristic, complemented
130#4940C2211yescharacteristic, complemented
131#4940C2211yescharacteristic, complemented
132#4940C2211yescharacteristic, complemented
133#4940C2211yescharacteristic, complemented
134#4940C2211yescharacteristic, complemented
135#4940C2211yescharacteristic, complemented
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4939C2211yescharacteristic
139#4939C2211yescharacteristic
140C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146#4933C2211yescharacteristic, complemented
147#4933C2211yescharacteristic, complemented
148#4676C2211yescharacteristic, complemented
149#4675C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4674C2211yescharacteristic, complemented
156#4674C2211yescharacteristic, complemented
157#4673C2211yescharacteristic, complemented
158#4673C2211yescharacteristic, complemented
159#4673C2211yescharacteristic, complemented
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic
162#4670C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4667C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176C3⋊#401C2211yescharacteristic, complemented
177#4661C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4651C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2849—31no—
189#2786—31no—
190#2784—31no—
191#2779—31no—
192#2778—31no—
193#2756—31no—
194#2708—31no—
195#2695—31no—
196#2686—31no—
197#2653—31no—
198#2648—31no—
199#2595—31no—
200#2578—31no—
201#2561—31no—
202#2559—31no—
203#2557—31no—
204#2493—31no—
205#2480—31no—
206#2472—31no—
207#2438—31no—
208#2419—31no—
209#2412—31no—
210#2411—31no—
211#2408—31no—
212#2405—31no—
213#2359D311yescharacteristic, complemented
214#2342—31no—
215#2335—31no—
216#2333—31no—
217C2×#386—31no—
218#2280—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C22×D12—24no—
233C22×D12—42no—
234C22×D12—42no—
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3—24no—
240C22×C4×D3—42no—
241C22×C4×D3—42no—
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#123—24no—
250C3×C4×D4—42no—
251C3×#117—42no—
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊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×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
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
280#937—42no—
281#937—42no—
282#935—42no—
283#930—24no—
284#930—42no—
285C2×(C2×D3)⋊C4—24no—
286C2×(C2×D3)⋊C4—42no—
287C2×(C2×D3)⋊C4—42no—
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
326#926—42no—
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332#924—42no—
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×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349#894—24no—
350#894—42no—
351#885—42no—
352D3×C22⋊C4—42no—
353#876—42no—
354C3×#95C2311yescharacteristic
355C3×#95C2311yescharacteristic
356C3×#95C2311yescharacteristic
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
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
398C23×D4—31no—
399C24×C4—31no—
400C2×#126—31no—
401C2×#124—31no—
402C2×#123—31no—
403C2×#123—31no—
404C2×#123—31no—
405C2×#123C2×D311yescharacteristic
406C2×C22⋊Q8—31no—
407C2×#121—31no—
408C2×#121—31no—
409C2×#120—31no—
410C2×#120—31no—
411C2×C4×D4C2×D311yescharacteristic
412C2×#117—31no—
413C2×#117C2×D311yescharacteristic
414C22×C22⋊C4—31no—
415C22×C22⋊C4—31no—
416C22×C22⋊C4—31no—
417C22×C22⋊C4—31no—
418#401—31no—
419#400—31no—
420#400—31no—
421#400—31no—
422#400—31no—
423#400—31no—
424#398—31no—
425#398—31no—
426#398—31no—
427#397—31no—
428#397—31no—
429#397—31no—
430#397—31no—
431#397—31no—
432#397—31no—
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#396—31no—
438#396—31no—
439#396—31no—
440#395—31no—
441#394—31no—
442#394—31no—
443#394—31no—
444#394—31no—
445#394—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#393—31no—
454#393—31no—
455#393—31no—
456#392—31no—
457#392—31no—
458#391—31no—
459#390—31no—
460#390—31no—
461#390—31no—
462#390—31no—
463#390—31no—
464#389—31no—
465#389C2×D311yescharacteristic, complemented
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388C2×D311yescharacteristic, complemented
482#388C2×D311yescharacteristic, complemented
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387C2×D311yescharacteristic, complemented
491#387C2×D311yescharacteristic, complemented
492#386—31no—
493#386—31no—
494#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386C2×D311yescharacteristic
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385C2×D311yescharacteristic
521#385C2×D311yescharacteristic, complemented
522#383—31no—
523#381—31no—
524#381—31no—
525#381—31no—
526#381—31no—
527#381—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531#380—31no—
532#380—31no—
533#380—31no—
534#380—31no—
535#380—31no—
536#379—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541C4×C4⋊C4C2×D311yescharacteristic, complemented
542C4×C22⋊C4—31no—
543C4×C22⋊C4—31no—
544C4×C22⋊C4—31no—
545C4×C22⋊C4—31no—
546C4×C22⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4C2×D311yescharacteristic
550C4×C22⋊C4C2×D311yescharacteristic, complemented
551C2×#95—31no—
552C2×#95C2×D311yescharacteristic
553C24×C3C2411yescharacteristic
554C24×C3C2411yescharacteristic
555C23×D3—22no—
556C23×D3—22no—
557C23×D3—22no—
558C23×D3—22no—
559C23×D3—22no—
560C23×D3—22no—
561C23×D3—22no—
562C23×D3—22no—
563C23×D3—22no—
564C23×D3—41no—
565C23×D3—41no—
566C23×D3—41no—
567C23×D3—41no—
568C23×D3—41no—
569C23×D3C2411yescharacteristic
570C23×D3C2411yescharacteristic
571C23×D3C2411yescharacteristic
572C23×D3C2411yescharacteristic
573C2×C3×D4—22no—
574C2×C3×D4—22no—
575C2×C3×D4—22no—
576C22×C3×C4—22no—
577C22×C3×C4—22no—
578C22×C3×C4—22no—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—22no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4#4114yes—
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—22no—
604C2×#67—41no—
605C2×#67—41no—
606C2×#67—41no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67—41no—
613C22×Dic3—22no—
614C22×Dic3—22no—
615C22×Dic3—22no—
616C22×Dic3—22no—
617C22×Dic3—41no—
618C22×Dic3—41no—
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—416no—
643C2×D12#4114yes—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—41no—
650C2×C4×D3—41no—
651C2×C4×D3—41no—
652C2×C4×D3—41no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—416no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×Dic6—41no—
664C2×Dic6—41no—
665C2×Dic6—41no—
666C3×C4⋊C4—22no—
667C3×C4⋊C4—22no—
668C3×C4⋊C4—22no—
669C3×C4⋊C4—41no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C22⋊C4—22no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—41no—
679C3×C22⋊C4—41no—
680C3×C22⋊C4—41no—
681C3×C42—41no—
682C3×C42—41no—
683C3×C42—41no—
684C3×C42—41no—
685C3×C42—41no—
686#217—22no—
687#217—22no—
688#217—22no—
689#217—22no—
690#217—41no—
691#217—41no—
692#217—41no—
693#217—41no—
694(C2×D3)⋊C4—22no—
695(C2×D3)⋊C4—22no—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
698(C2×D3)⋊C4—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—41no—
709(C2×D3)⋊C4—41no—
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—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732C4⋊Dic3—22no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737Dic3⋊C4—22no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C4×Dic3—41no—
753C25—31no—
754C25—31no—
755C22×Q8—31no—
756C22×D4—31no—
757C22×D4—31no—
758C22×D4—31no—
759C22×D4—31no—
760C22×D4—31no—
761C22×D4—31no—
762C22×D4—31no—
763C22×D4—31no—
764C22×D4—64no—
765C22×D4—122no—
766C22×D4—122no—
767C22×D4C22×D311yescharacteristic
768C23×C4—31no—
769C23×C4—31no—
770C23×C4—31no—
771C23×C4—31no—
772C23×C4—31no—
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—64no—
777C23×C4—122no—
778C23×C4—122no—
779C23×C4C22×D311yescharacteristic
780C23×C4C22×D311yescharacteristic
781C23×C4C22×D311yescharacteristic
782C23×C4C22×D311yescharacteristic
783#126—122no—
784#124—122no—
785#123—24no—
786#123—64no—
787#123—122no—
788#123—122no—
789C22⋊Q8—122no—
790#121—64no—
791#121—122no—
792#120—122no—
793#120—122no—
794C4×D4—42no—
795#117—42no—
796#117—122no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4C22×D311yescharacteristic
815C2×C4⋊C4C22×D311yescharacteristic
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—64no—
868C2×C22⋊C4—122no—
869C2×C22⋊C4—122no—
870C2×C22⋊C4—122no—
871C2×C22⋊C4C22×D311yescharacteristic
872C2×C22⋊C4C22×D311yescharacteristic
873C2×C22⋊C4C22×D311yescharacteristic
874C2×C22⋊C4C22×D311yescharacteristic
875C2×C22⋊C4C22×D311yescharacteristic
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C42—31no—
880C2×C42—31no—
881C2×C42—31no—
882C2×C42—31no—
883C2×C42C22×D311yescharacteristic
884C2×C42C22×D311yescharacteristic
885C2×C42C22×D311yescharacteristic
886C2×C42C22×D311yescharacteristic
887C2×C42C22×D311yescharacteristic
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95C22×D311yescharacteristic
923#95C22×D311yescharacteristic
924#95C22×D311yescharacteristic
925#95C22×D311yescharacteristic
926#95C22×D311yescharacteristic
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930#95C22×D311yescharacteristic
931#95C22×D311yescharacteristic
932C23×C3—21no—
933C23×C3—21no—
934C23×C3—21no—
935C23×C3—21no—
936C23×C3—21no—
937C23×C3—21no—
938C23×C3—21no—
939C23×C3—21no—
940C23×C3—21no—
941C23×C3—21no—
942C23×C3—21no—
943C23×C3C2×#4112yes—
944C23×C3H(5,𝔽2)12yes—
945C23×C3H(5,𝔽2)12yes—
946C23×C3C2511yescharacteristic
947C22×D3—28no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3—21no—
958C22×D3—21no—
959C22×D3—21no—
960C22×D3—21no—
961C22×D3—21no—
962C22×D3—21no—
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—21no—
966C22×D3—21no—
967C22×D3—21no—
968C22×D3—21no—
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—44no—
974C22×D3—44no—
975C22×D3—44no—
976C22×D3—44no—
977C22×D3—44no—
978C22×D3—44no—
979C22×D3—44no—
980C22×D3—44no—
981C22×D3—44no—
982C22×D3—44no—
983C22×D3—82no—
984C22×D3—82no—
985C22×D3—82no—
986C22×D3C2×#4112yes—
987C22×D3C2×#4112yes—
988C22×D3H(5,𝔽2)12yes—
989C3×D4—44no—
990C2×C3×C4—28no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
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—44no—
1028C2×C3×C4—82no—
1029C2×C3×C4—82no—
1030C2×C3×C4C2×#4112yes—
1031C2×C3×C4C2×#4112yes—
1032C2×C3×C4C2×#4112yes—
1033#67—82no—
1034#67—82no—
1035#67—82no—
1036#67—82no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
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—44no—
1074C2×Dic3—82no—
1075D12—44no—
1076D12—44no—
1077D12—44no—
1078D12—44no—
1079C4×D3—44no—
1080C4×D3—44no—
1081C4×D3—44no—
1082C4×D3—44no—
1083C4×D3—82no—
1084C4×D3—82no—
1085Dic6—82no—
1086C24—31no—
1087C24—31no—
1088C24—31no—
1089C24—31no—
1090C24—62no—
1091C24—62no—
1092C24—62no—
1093C24—62no—
1094C24—62no—
1095C24—62no—
1096C24—62no—
1097C24—62no—
1098C24—62no—
1099C24—121no—
1100C24—121no—
1101C24—121no—
1102C24—121no—
1103C24—121no—
1104C24C23×D311yescharacteristic
1105C24C23×D311yescharacteristic
1106C2×Q8—121no—
1107C2×Q8—121no—
1108C2×Q8—121no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—34no—
1113C2×D4—62no—
1114C2×D4—62no—
1115C2×D4—62no—
1116C2×D4—62no—
1117C2×D4—62no—
1118C2×D4—62no—
1119C2×D4—62no—
1120C2×D4—62no—
1121C2×D4—121no—
1122C2×D4—121no—
1123C2×D4—121no—
1124C2×D4—121no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—1216no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4—121no—
1131C2×D4—121no—
1132C2×D4—121no—
1133C2×D4—121no—
1134C2×D4—121no—
1135C2×D4—121no—
1136C2×D4—121no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—62no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—121no—
1170C22×C4—121no—
1171C22×C4—121no—
1172C22×C4—121no—
1173C22×C4—121no—
1174C22×C4—121no—
1175C22×C4—121no—
1176C22×C4—121no—
1177C22×C4—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—1216no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4#23514yes—
1186C22×C4C23×D311yescharacteristic
1187C22×C4C23×D311yescharacteristic
1188C22×C4C23×D311yescharacteristic
1189C22×C4C23×D311yescharacteristic
1190C22×C4C23×D311yescharacteristic
1191C22×C4C23×D311yescharacteristic
1192C22×C4C23×D311yescharacteristic
1193C22×C4C23×D311yescharacteristic
1194C22×C4C23×D311yescharacteristic
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—62no—
1207C4⋊C4—62no—
1208C4⋊C4—121no—
1209C4⋊C4—121no—
1210C4⋊C4—121no—
1211C4⋊C4—121no—
1212C4⋊C4—121no—
1213C4⋊C4—121no—
1214C4⋊C4—121no—
1215C4⋊C4—121no—
1216C4⋊C4—121no—
1217C4⋊C4—121no—
1218C4⋊C4—121no—
1219C4⋊C4—121no—
1220C4⋊C4—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—62no—
1232C22⋊C4—62no—
1233C22⋊C4—62no—
1234C22⋊C4—62no—
1235C22⋊C4—62no—
1236C22⋊C4—62no—
1237C22⋊C4—62no—
1238C22⋊C4—62no—
1239C22⋊C4—62no—
1240C22⋊C4—62no—
1241C22⋊C4—62no—
1242C22⋊C4—62no—
1243C22⋊C4—62no—
1244C22⋊C4—62no—
1245C22⋊C4—62no—
1246C22⋊C4—62no—
1247C22⋊C4—62no—
1248C22⋊C4—62no—
1249C22⋊C4—121no—
1250C22⋊C4—121no—
1251C22⋊C4—121no—
1252C22⋊C4—121no—
1253C22⋊C4—121no—
1254C22⋊C4—121no—
1255C22⋊C4—121no—
1256C22⋊C4—121no—
1257C22⋊C4—121no—
1258C22⋊C4—121no—
1259C22⋊C4—121no—
1260C22⋊C4—121no—
1261C22⋊C4—121no—
1262C22⋊C4—121no—
1263C22⋊C4—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
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—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—121no—
1283C42—121no—
1284C42—121no—
1285C42—121no—
1286C22×C3—22no—
1287C22×C3—22no—
1288C22×C3—22no—
1289C22×C3—22no—
1290C22×C3—22no—
1291C22×C3—22no—
1292C22×C3—41no—
1293C22×C3—41no—
1294C22×C3—41no—
1295C22×C3—41no—
1296C22×C3—41no—
1297C22×C3—41no—
1298C22×C3—41no—
1299C22×C3#53814yes—
1300C22×C3C22×#4111yescharacteristic
1301C22×C3C22×#4111yescharacteristic
1302C22×C3C2×H(5,𝔽2)11yescharacteristic
1303C22×C3C2×H(5,𝔽2)11yescharacteristic
1304C22×C3C2×H(5,𝔽2)11yescharacteristic
1305C22×C3#58511yescharacteristic
1306C22×C3#58511yescharacteristic
1307C2×D3—22no—
1308C2×D3—22no—
1309C2×D3—22no—
1310C2×D3—22no—
1311C2×D3—22no—
1312C2×D3—22no—
1313C2×D3—22no—
1314C2×D3—22no—
1315C2×D3—22no—
1316C2×D3—416no—
1317C2×D3—41no—
1318C2×D3—41no—
1319C2×D3—41no—
1320C2×D3—41no—
1321C2×D3—41no—
1322C2×D3—41no—
1323C2×D3—41no—
1324C2×D3—41no—
1325C2×D3—41no—
1326C2×D3—41no—
1327C2×D3—41no—
1328C2×D3—41no—
1329C2×D3—41no—
1330C2×D3—41no—
1331C2×D3—41no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—88no—
1337C3×C4—22no—
1338C3×C4—22no—
1339C3×C4—22no—
1340C3×C4—41no—
1341C3×C4—41no—
1342C3×C4—41no—
1343C3×C4—41no—
1344C3×C4—41no—
1345C3×C4—41no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350Dic3—41no—
1351Dic3—41no—
1352Dic3—41no—
1353Dic3—41no—
1354Dic3—41no—
1355Dic3—41no—
1356Dic3—41no—
1357Dic3—41no—
1358Dic3—41no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—32no—
1374C23—32no—
1375C23—32no—
1376C23—68no—
1377C23—61no—
1378C23—61no—
1379C23—61no—
1380C23—61no—
1381C23—61no—
1382C23—61no—
1383C23—61no—
1384C23—61no—
1385C23—61no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—124no—
1403C23—124no—
1404C23—124no—
1405C23—124no—
1406C23—124no—
1407C23—124no—
1408C23—124no—
1409C23—124no—
1410C23—124no—
1411C23—124no—
1412C23—242no—
1413C23—242no—
1414C23—242no—
1415C23C2×#23512yes—
1416C23#100412yes—
1417C23#100912yes—
1418C23C24×D311yescharacteristic
1419Q8—242no—
1420D4—44no—
1421D4—124no—
1422D4—124no—
1423D4—124no—
1424D4—124no—
1425D4—242no—
1426D4—242no—
1427D4—242no—
1428D4—242no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—28no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—44no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
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—82no—
1504C2×C4—82no—
1505C2×C4—124no—
1506C2×C4—124no—
1507C2×C4—124no—
1508C2×C4—124no—
1509C2×C4—124no—
1510C2×C4—242no—
1511C2×C4—242no—
1512C2×C4—242no—
1513C2×C4C2×#23512yes—
1514C2×C4C2×#23512yes—
1515C2×C4D3×#4112yes—
1516C2×C3—24no—
1517C2×C3—81no—
1518C2×C3C2×#53811yescharacteristic
1519C2×C3#347511yescharacteristic
1520C2×C3#349011yescharacteristic
1521C2×C3#349411yescharacteristic
1522C2×C3#351311yescharacteristic
1523C2×C3#353311yescharacteristic
1524C2×C3#353411yescharacteristic
1525D3—42no—
1526D3—42no—
1527D3—42no—
1528D3—81no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—1216no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—248no—
1572C22#556014yes—
1573C22C22×#23511yescharacteristic
1574C22C2×#100411yescharacteristic
1575C22C2×D3×#4111yescharacteristic
1576C22C2×#100911yescharacteristic
1577C22#596411yescharacteristic
1578C22D3×H(5,𝔽2)11yescharacteristic
1579C22#596811yescharacteristic
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—121no—
1594C4—121no—
1595C4—121no—
1596C4—121no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C3#3839611yescharacteristic, complemented, Sylow
1606C2—24no—
1607C2—81no—
1608C2—122no—
1609C2—122no—
1610C2—122no—
1611C2—241no—
1612C2C2×#556011yescharacteristic
1613C2#8584011yescharacteristic
1614C2#8590311yescharacteristic
1615C2#8666411yescharacteristic
1616C2#8670411yescharacteristic
1617C2#8680111yescharacteristic
1618C2#8683411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2359C2
prime radical#82403C2
hypercenter#2359D3
hypocenterC3#38396
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
1. C3×#2359C2semidirect
2. #82912C2semidirect
3. #82894C2semidirect
5. #82354C2semidirect
6. #82271C2semidirect
7. #82267C2semidirect
8. #76277C2semidirect
9. #76111C2semidirect
10. #75949C2semidirect
11. #75904C2semidirect
12. #75884C2semidirect
13. #75740C2semidirect
14. #75434C2semidirect
15. #75433C2semidirect
16. #75386C2semidirect
17. #75369C2semidirect
18. #74728C2semidirect
19. #74690C2semidirect
20. #74638C2semidirect
21. #74599C2semidirect
22. #74512C2semidirect
23. #74459C2semidirect
24. #73765C2semidirect
25. #73739C2semidirect
26. #73605C2semidirect
27. #73603C2semidirect
28. #73596C2semidirect
29. #73449C2semidirect
30. C2×#4665C2semidirect
31. #73350C2semidirect
50. C2×#885C22semidirect
52. C2×#876C22semidirect
53. C3×#389C22semidirect
54. C3×#388C22semidirect
55. C3×#388C22semidirect
56. C3×#387C22semidirect
57. C3×#387C22semidirect
60. C3×#385C22semidirect
61. C3×C4×C4⋊C4C22semidirect
63. C3×C4×C22⋊C4C22semidirect
68. #5211C22semidirect
71. #5210C22semidirect
73. #4994C22semidirect
74. #4994C22semidirect
79. #4990C22semidirect
80. #4990C22semidirect
81. #4990C22semidirect
82. #4990C22semidirect
83. #4989C22semidirect
84. #4989C22semidirect
85. #4989C22semidirect
86. #4989C22semidirect
87. #4989C22semidirect
88. #4989C22semidirect
89. #4987C22semidirect
90. #4987C22semidirect
91. #4987C22semidirect
92. #4987C22semidirect
93. #4986C22semidirect
94. #4985C22semidirect
95. #4985C22semidirect
96. #4983C22semidirect
97. #4980C22semidirect
98. #4978C22semidirect
99. #4961C22semidirect
100. #4961C22semidirect
101. #4961C22semidirect
104. #4959C22semidirect
105. #4959C22semidirect
106. #4959C22semidirect
107. #4957C22semidirect
108. #4957C22semidirect
109. #4957C22semidirect
110. #4956C22semidirect
111. #4956C22semidirect
112. #4956C22semidirect
113. #4956C22semidirect
114. #4956C22semidirect
115. #4956C22semidirect
121. #4952C22semidirect
122. #4952C22semidirect
129. #4940C22semidirect
130. #4940C22semidirect
131. #4940C22semidirect
132. #4940C22semidirect
133. #4940C22semidirect
134. #4940C22semidirect
135. #4940C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
140. C4×(C2×D3)⋊C4C22semidirect
141. C4×(C2×D3)⋊C4C22semidirect
142. C4×(C2×D3)⋊C4C22semidirect
143. C4×(C2×D3)⋊C4C22semidirect
144. C4×(C2×D3)⋊C4C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. #4933C22semidirect
147. #4933C22semidirect
148. #4676C22semidirect
149. #4675C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4674C22semidirect
156. #4674C22semidirect
157. #4673C22semidirect
158. #4673C22semidirect
159. #4673C22semidirect
162. #4670C22semidirect
163. #4669C22semidirect
164. #4667C22semidirect
165. #4667C22semidirect
176. C3⋊#401C22semidirect
177. #4661C22semidirect
178. #4660C22semidirect
179. #4660C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4651C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
213. #2359D3semidirect
465. #389C2×D3semidirect
481. #388C2×D3semidirect
482. #388C2×D3semidirect
490. #387C2×D3semidirect
491. #387C2×D3semidirect
521. #385C2×D3semidirect
541. C4×C4⋊C4C2×D3semidirect
550. C4×C22⋊C4C2×D3semidirect
1605. C3#38396semidirect

Maximal subgroups

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

subgroupindex
C3×#23592
#829122
#828942
#824032
#823542
#822712
#822672
#762772
#761112
#759492
#759042
#758842
#757402
#754342
#754332
#753862
#753692
#747282
#746902
#746382
#745992
#745122
#744592
#737652
#737392
#736052
#736032
#735962
#734492
C2×#46652
#733502
#383963