Finite Group Databasebeta

← #10982017

Subgroups — #10982017

Order 768.

2204 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2342C211yesmaximal, characteristic, complemented
2#82280C211yesmaximal, characteristic, complemented
3#82274C211yesmaximal, characteristic, complemented
4C2×#4959C211yesmaximal, characteristic, complemented
5C22⋊C4×#67C211yesmaximal, characteristic, complemented
6#82111C211yesmaximal, characteristic, complemented
7#82099C211yesmaximal, characteristic, complemented
8#75903C211yesmaximal, characteristic, complemented
9#75889C211yesmaximal, characteristic, complemented
10#75862C211yesmaximal, characteristic, complemented
11#75659C211yesmaximal, characteristic, complemented
12#75639C211yesmaximal, characteristic, complemented
13#75559C211yesmaximal, characteristic, complemented
14#75545C211yesmaximal, characteristic, complemented
15#75517C211yesmaximal, characteristic, complemented
16#74619C211yesmaximal, characteristic, complemented
17#74607C211yesmaximal, characteristic, complemented
18#74465C211yesmaximal, characteristic, complemented
19#74440C211yesmaximal, characteristic, complemented
20#74087C211yesmaximal, characteristic, complemented
21#74070C211yesmaximal, characteristic, complemented
22#73905C211yesmaximal, characteristic, complemented
23#73895C211yesmaximal, characteristic, complemented
24#73854C211yesmaximal, characteristic
25#73830C211yesmaximal, characteristic, complemented
26#73607C211yesmaximal, characteristic, complemented
27#73581C211yesmaximal, characteristic, complemented
28#73577C211yesmaximal, characteristic, complemented
29#73560C211yesmaximal, characteristic, complemented
30#73473C211yesmaximal, characteristic, complemented
31#73461C211yesmaximal, characteristic, complemented
32#35716—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic, complemented
35C22×C3×C22⋊C4C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C22×#217C2211yescharacteristic
39C2×C4×#67C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic, complemented
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C2×#924C2211yescharacteristic
45C22×Dic3⋊C4C2211yescharacteristic
46C2×#896C2211yescharacteristic, complemented
47C2×#889C2211yescharacteristic, complemented
48C2×#885C2211yescharacteristic, complemented
49C2×#884C2211yescharacteristic
50C2×#884C2211yescharacteristic
51C2×#882C2211yescharacteristic
52C2×#67⋊C4C2211yescharacteristic
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×D3×C22⋊C4C2211yescharacteristic
55C2×#879C2211yescharacteristic, complemented
56C2×C4×D12C2211yescharacteristic, complemented
57C2×#872C2211yescharacteristic, complemented
58C3×#388C2211yescharacteristic, complemented
59C3×#388C2211yescharacteristic, complemented
60C3×#388C2211yescharacteristic, complemented
61C3×#388C2211yescharacteristic, complemented
62C3×#385C2211yescharacteristic
63C3×#385C2211yescharacteristic
64C3×#381C2211yescharacteristic, complemented
65C3×#380C2211yescharacteristic, complemented
66C3×#379C2211yescharacteristic
67C3×C4×C22⋊C4C2211yescharacteristic
68C3×C4×C22⋊C4C2211yescharacteristic
69C3×C4×C22⋊C4C2211yescharacteristic, complemented
70#5247C2211yescharacteristic
71#5213C2211yescharacteristic
72#5213C2211yescharacteristic
73#5213C2211yescharacteristic
74#5213C2211yescharacteristic
75#5213C2211yescharacteristic, complemented
76#5210C2211yescharacteristic, complemented
77C4×#217C2211yescharacteristic
78C4×#217C2211yescharacteristic, complemented
79C2×C3⋊#95C2211yescharacteristic
80#4994C2211yescharacteristic, complemented
81#4993C2211yescharacteristic, complemented
82#4992C2211yescharacteristic, complemented
83#4992C2211yescharacteristic, complemented
84#4992C2211yescharacteristic, complemented
85#4991C2211yescharacteristic, complemented
86#4991C2211yescharacteristic, complemented
87#4990C2211yescharacteristic, complemented
88#4989C2211yescharacteristic, complemented
89#4985C2211yescharacteristic, complemented
90#4983C2211yescharacteristic, complemented
91#4982C2211yescharacteristic, complemented
92#4978C2211yescharacteristic, complemented
93#4976C2211yescharacteristic, complemented
94#4961C2211yescharacteristic, complemented
95#4960C2211yescharacteristic
96#4960C2211yescharacteristic
97#4959C2211yescharacteristic
98#4959C2211yescharacteristic
99#4959C2211yescharacteristic
100#4959C2211yescharacteristic
101#4959C2211yescharacteristic
102#4959C2211yescharacteristic
103#4959C2211yescharacteristic
104#4959C2211yescharacteristic
105#4959C2211yescharacteristic
106#4959C2211yescharacteristic
107#4959C2211yescharacteristic, complemented
108#4958C2211yescharacteristic
109#4958C2211yescharacteristic
110#4957C2211yescharacteristic
111#4957C2211yescharacteristic
112#4957C2211yescharacteristic, complemented
113#4957C2211yescharacteristic, complemented
114#4956C2211yescharacteristic
115#4956C2211yescharacteristic
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic, complemented
119#4955C2211yescharacteristic
120#4953C2211yescharacteristic, complemented
121#4952C2211yescharacteristic, complemented
122#4952C2211yescharacteristic, complemented
123#4952C2211yescharacteristic, complemented
124#4951C2211yescharacteristic, complemented
125#4951C2211yescharacteristic, complemented
126#4950C2211yescharacteristic
127#4948C2211yescharacteristic, complemented
128#4947C2211yescharacteristic, complemented
129#4946C2211yescharacteristic
130#4946C2211yescharacteristic
131#4946C2211yescharacteristic
132#4945C2211yescharacteristic, complemented
133#4945C2211yescharacteristic, complemented
134#4944C2211yescharacteristic, complemented
135#4944C2211yescharacteristic, complemented
136#4944C2211yescharacteristic, complemented
137#4942C2211yescharacteristic
138#4942C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic
140Dic3×C22⋊C4C2211yescharacteristic
141Dic3×C22⋊C4C2211yescharacteristic
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4939C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4933C2211yescharacteristic, complemented
151#4933C2211yescharacteristic, complemented
152#4933C2211yescharacteristic, complemented
153C4×Dic3⋊C4C2211yescharacteristic, complemented
154C4×Dic3⋊C4C2211yescharacteristic, complemented
155C4×Dic3⋊C4C2211yescharacteristic, complemented
156#4676C2211yescharacteristic, complemented
157#4675C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176C3⋊#401C2211yescharacteristic, complemented
177#4658C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4651C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2653—31no—
189#2648—31no—
190#2622—31no—
191#2597—31no—
192#2578—31no—
193#2576—31no—
194#2560—31no—
195#2518—31no—
196#2510—31no—
197#2490—31no—
198#2480—31no—
199#2476—31no—
200#2476—31no—
201#2473—31no—
202#2472—31no—
203#2467—31no—
204#2460—31no—
205#2459—31no—
206#2437—31no—
207#2427—31no—
208#2410—31no—
209#2395—31no—
210#2392—31no—
211C2×#394—31no—
212#2368—31no—
213#2358—31no—
214#2358—31no—
215#2352—31no—
216#2342D311yescharacteristic, complemented
217D4×C22⋊C4—31no—
218#2273—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67—24no—
226C22×#67—42no—
227C22×#67—42no—
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#117—42no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4—24no—
252C2×C3×C22⋊C4—42no—
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271#953—24no—
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
286C4×#67—42no—
287C4×#67—42no—
288C4×#67—42no—
289C2×(C2×D3)⋊C4—24no—
290C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321#924—24no—
322C2×Dic3⋊C4—42no—
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349#896—42no—
350#889—42no—
351#885—42no—
352#884—42no—
353#884—42no—
354#882—24no—
355#67⋊C4—24no—
356D3×C22⋊C4—24no—
357D3×C22⋊C4—24no—
358#879—42no—
359C4×D12—42no—
360#872—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—
402C2×#126—31no—
403C2×#125—31no—
404C2×#124—31no—
405C2×C22⋊Q8—31no—
406C2×C22⋊Q8—31no—
407C2×#121—31no—
408C2×#121—31no—
409C2×#120—31no—
410C2×#120—31no—
411C2×C4×D4—31no—
412C2×C4×D4—31no—
413C2×C4×D4—31no—
414C2×C4×D4—31no—
415C2×C4×D4—31no—
416C2×#117—31no—
417C2×#117C2×D311yescharacteristic, complemented
418C22×C4⋊C4—31no—
419C22×C22⋊C4—31no—
420C22×C22⋊C4—31no—
421C22×C22⋊C4—31no—
422C22×C22⋊C4—31no—
423C22×C22⋊C4—31no—
424C22×C22⋊C4C2×D311yescharacteristic
425C22×C22⋊C4C2×D311yescharacteristic
426#401—31no—
427#400—31no—
428#400—31no—
429#399—31no—
430#398—31no—
431#398—31no—
432#398—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#397—31no—
442#397—31no—
443#396—31no—
444#396—31no—
445#396—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—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#393—31no—
463#393—31no—
464#392—31no—
465#392—31no—
466#391—31no—
467#391—31no—
468#390—31no—
469#390—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#389—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388C2×D311yescharacteristic, complemented
488#388C2×D311yescharacteristic, complemented
489#388C2×D311yescharacteristic, complemented
490#388C2×D311yescharacteristic, complemented
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—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#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385C2×D311yescharacteristic
523#385C2×D311yescharacteristic
524#383—31no—
525#382—31no—
526#381C2×D311yescharacteristic, complemented
527#380—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531#380C2×D311yescharacteristic, complemented
532#379—31no—
533#379—31no—
534#379C2×D311yescharacteristic
535C4×C4⋊C4—31no—
536C4×C4⋊C4—31no—
537C4×C4⋊C4—31no—
538C4×C22⋊C4—31no—
539C4×C22⋊C4—31no—
540C4×C22⋊C4—31no—
541C4×C22⋊C4—31no—
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⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4C2×D311yescharacteristic
553C4×C22⋊C4C2×D311yescharacteristic
554C4×C22⋊C4C2×D311yescharacteristic, complemented
555C2×#95—31no—
556C24×C3—22no—
557C24×C3—22no—
558C24×C3—22no—
559C24×C3—22no—
560C24×C3—41no—
561C24×C3—41no—
562C24×C3—41no—
563C24×C3C2411yescharacteristic
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3#4114yes—
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C22×C3×C4—22no—
577C22×C3×C4—22no—
578C22×C3×C4—22no—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—41no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
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
600C2×#67—22no—
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—22no—
604C2×#67—22no—
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—22no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—416no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3—41no—
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×Dic6—22no—
666C2×Dic6—41no—
667C2×Dic6—41no—
668C3×C4⋊C4—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—22no—
680C3×C22⋊C4—41no—
681C3×C22⋊C4—41no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4#4114yes—
686C3×C42—41no—
687C3×C42—41no—
688C3×C42—41no—
689C3×C42—41no—
690#217—22no—
691#217—22no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—22no—
696#217—22no—
697#217—41no—
698#217—41no—
699#217—41no—
700#217—41no—
701#217—41no—
702#217#4114yes—
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—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
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—
733Dic3⋊C4—22no—
734Dic3⋊C4—22no—
735Dic3⋊C4—22no—
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750C4×Dic3—22no—
751C4×Dic3—22no—
752C4×Dic3—41no—
753C4×Dic3—41no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C25—31no—
760C25C22×D311yescharacteristic
761C22×Q8—31no—
762C22×D4—31no—
763C22×D4—31no—
764C22×D4—31no—
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—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4C22×D311yescharacteristic
783C23×C4C22×D311yescharacteristic
784C23×C4C22×D311yescharacteristic
785C23×C4C22×D311yescharacteristic
786#126—122no—
787#125—122no—
788#124—122no—
789C22⋊Q8—64no—
790C22⋊Q8—122no—
791#121—122no—
792#121—122no—
793#120—64no—
794#120—64no—
795C4×D4—64no—
796C4×D4—122no—
797C4×D4—122no—
798C4×D4—122no—
799C4×D4—122no—
800#117—42no—
801#117—122no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—122no—
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C4⋊C4C22×D311yescharacteristic
825C2×C4⋊C4C22×D311yescharacteristic
826C2×C4⋊C4C22×D311yescharacteristic
827C2×C22⋊C4—24no—
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—31no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—64no—
870C2×C22⋊C4—64no—
871C2×C22⋊C4—64no—
872C2×C22⋊C4—122no—
873C2×C22⋊C4—122no—
874C2×C22⋊C4C22×D311yescharacteristic
875C2×C22⋊C4C22×D311yescharacteristic
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892C2×C42—31no—
893C2×C42—31no—
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42C22×D311yescharacteristic
898C2×C42C22×D311yescharacteristic
899C2×C42C22×D311yescharacteristic
900C2×C42C22×D311yescharacteristic
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#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#95C22×D311yescharacteristic
934#95C22×D311yescharacteristic
935#95C22×D311yescharacteristic
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
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—44no—
959C23×C3—44no—
960C23×C3—44no—
961C23×C3—44no—
962C23×C3—82no—
963C23×C3—82no—
964C23×C3—82no—
965C23×C3C2×#4112yes—
966C23×C3C2×#4112yes—
967C23×C3C2×#4112yes—
968C23×C3H(5,𝔽2)12yes—
969C23×C3C2511yescharacteristic
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—28no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—44no—
991C22×D3—44no—
992C22×D3—82no—
993C22×D3—82no—
994C22×D3—82no—
995C22×D3—82no—
996C22×D3C2×#4112yes—
997C22×D3C2×#4112yes—
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—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—44no—
1033C2×C3×C4—82no—
1034C2×C3×C4—82no—
1035C2×C3×C4—82no—
1036C2×C3×C4C2×#4112yes—
1037C2×C3×C4C2×#4112yes—
1038#67—28no—
1039#67—44no—
1040#67—44no—
1041#67—44no—
1042#67—44no—
1043#67—44no—
1044#67—82no—
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—44no—
1081C2×Dic3—44no—
1082C2×Dic3—82no—
1083C2×Dic3C2×#4112yes—
1084C2×Dic3C2×#4112yes—
1085C2×Dic3H(5,𝔽2)12yes—
1086C2×Dic3H(5,𝔽2)12yes—
1087D12—44no—
1088D12—82no—
1089C4×D3—44no—
1090C4×D3—82no—
1091C4×D3—82no—
1092C4×D3—82no—
1093C4×D3—82no—
1094Dic6—82no—
1095C24—22no—
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—31no—
1100C24—31no—
1101C24—34no—
1102C24—31no—
1103C24—41no—
1104C24—41no—
1105C24—41no—
1106C24—62no—
1107C24—62no—
1108C24—121no—
1109C24—121no—
1110C24—121no—
1111C24—121no—
1112C24C23×D311yescharacteristic
1113C24C23×D311yescharacteristic
1114C24C23×D311yescharacteristic
1115C2×Q8—62no—
1116C2×Q8—121no—
1117C2×Q8—121no—
1118C2×D4—62no—
1119C2×D4—62no—
1120C2×D4—62no—
1121C2×D4—62no—
1122C2×D4—62no—
1123C2×D4—62no—
1124C2×D4—62no—
1125C2×D4—62no—
1126C2×D4—62no—
1127C2×D4—62no—
1128C2×D4—62no—
1129C2×D4—62no—
1130C2×D4—62no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—121no—
1135C2×D4—121no—
1136C2×D4—121no—
1137C2×D4—121no—
1138C2×D4—121no—
1139C2×D4—121no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C2×D4—121no—
1143C2×D4—121no—
1144C2×D4—121no—
1145C2×D4—1216no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
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×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
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
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—62no—
1212C4⋊C4—62no—
1213C4⋊C4—62no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—62no—
1221C4⋊C4—62no—
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—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—34no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—62no—
1246C22⋊C4—62no—
1247C22⋊C4—62no—
1248C22⋊C4—62no—
1249C22⋊C4—62no—
1250C22⋊C4—62no—
1251C22⋊C4—62no—
1252C22⋊C4—62no—
1253C22⋊C4—62no—
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#23514yes—
1285C42—41no—
1286C42—41no—
1287C42—41no—
1288C42—41no—
1289C42—62no—
1290C42—62no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
1297C42—121no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—22no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—88no—
1319C22×C3#52914yes—
1320C22×C3C22×#4111yescharacteristic
1321C22×C3C22×#4111yescharacteristic
1322C22×C3C22×#4111yescharacteristic
1323C22×C3C2×H(5,𝔽2)11yescharacteristic
1324C22×C3C2×H(5,𝔽2)11yescharacteristic
1325C22×C3C2×H(5,𝔽2)11yescharacteristic
1326C22×C3#58511yescharacteristic
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
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—88no—
1349C3×C4—22no—
1350C3×C4—22no—
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—
1361Dic3—22no—
1362Dic3—22no—
1363Dic3—22no—
1364Dic3—22no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—32no—
1392C23—32no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—68no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—82no—
1418C23—82no—
1419C23—82no—
1420C23—124no—
1421C23—124no—
1422C23—242no—
1423C23—242no—
1424C23—242no—
1425C23—242no—
1426C23C2×#23512yes—
1427C23#100412yes—
1428C23D3×#4112yes—
1429C23D3×#4112yes—
1430C23C24×D311yescharacteristic
1431Q8—242no—
1432D4—68no—
1433D4—124no—
1434D4—124no—
1435D4—124no—
1436D4—124no—
1437D4—124no—
1438D4—124no—
1439D4—242no—
1440D4—242no—
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—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—32no—
1476C2×C4—32no—
1477C2×C4—32no—
1478C2×C4—32no—
1479C2×C4—44no—
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—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—82no—
1516C2×C4—82no—
1517C2×C4—82no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4—242no—
1522C2×C4—242no—
1523C2×C4—242no—
1524C2×C4—242no—
1525C2×C4—242no—
1526C2×C4C2×#23512yes—
1527C2×C4C2×#23512yes—
1528C2×C3—24no—
1529C2×C3—42no—
1530C2×C3—81no—
1531C2×C3C2×#52911yescharacteristic
1532C2×C3#349011yescharacteristic
1533C2×C3#350511yescharacteristic
1534C2×C3#351311yescharacteristic
1535C2×C3#351411yescharacteristic
1536C2×C3#351911yescharacteristic
1537C2×C3#351911yescharacteristic
1538D3—42no—
1539D3—42no—
1540D3—81no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—88no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
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—248no—
1584C22#552814yes—
1585C22C22×#23511yescharacteristic
1586C22C2×#100411yescharacteristic
1587C22C2×D3×#4111yescharacteristic
1588C22C2×D3×#4111yescharacteristic
1589C22#596411yescharacteristic
1590C22D3×H(5,𝔽2)11yescharacteristic
1591C22D3×H(5,𝔽2)11yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—62no—
1605C4—62no—
1606C4—62no—
1607C4—62no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C3#3571611yescharacteristic, complemented, Sylow
1618C2—24no—
1619C2—42no—
1620C2—81no—
1621C2—122no—
1622C2—122no—
1623C2—241no—
1624C2C2×#552811yescharacteristic
1625C2#8578911yescharacteristic
1626C2#8587111yescharacteristic
1627C2#8663911yescharacteristic
1628C2#8666411yescharacteristic
1629C2#8679711yescharacteristic
1630C2#8681711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2342C2
prime radical#73854C2
hypercenter#2342D3
hypocenterC3#35716
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
1. C3×#2342C2semidirect
2. #82280C2semidirect
3. #82274C2semidirect
4. C2×#4959C2semidirect
5. C22⋊C4×#67C2semidirect
6. #82111C2semidirect
7. #82099C2semidirect
8. #75903C2semidirect
9. #75889C2semidirect
10. #75862C2semidirect
11. #75659C2semidirect
12. #75639C2semidirect
13. #75559C2semidirect
14. #75545C2semidirect
15. #75517C2semidirect
16. #74619C2semidirect
17. #74607C2semidirect
18. #74465C2semidirect
19. #74440C2semidirect
20. #74087C2semidirect
21. #74070C2semidirect
22. #73905C2semidirect
23. #73895C2semidirect
25. #73830C2semidirect
26. #73607C2semidirect
27. #73581C2semidirect
28. #73577C2semidirect
29. #73560C2semidirect
30. #73473C2semidirect
31. #73461C2semidirect
34. C2×C3×#117C22semidirect
41. C2×C4×#67C22semidirect
46. C2×#896C22semidirect
47. C2×#889C22semidirect
48. C2×#885C22semidirect
55. C2×#879C22semidirect
56. C2×C4×D12C22semidirect
57. C2×#872C22semidirect
58. C3×#388C22semidirect
59. C3×#388C22semidirect
60. C3×#388C22semidirect
61. C3×#388C22semidirect
64. C3×#381C22semidirect
65. C3×#380C22semidirect
69. C3×C4×C22⋊C4C22semidirect
75. #5213C22semidirect
76. #5210C22semidirect
78. C4×#217C22semidirect
80. #4994C22semidirect
81. #4993C22semidirect
82. #4992C22semidirect
83. #4992C22semidirect
84. #4992C22semidirect
85. #4991C22semidirect
86. #4991C22semidirect
87. #4990C22semidirect
88. #4989C22semidirect
89. #4985C22semidirect
90. #4983C22semidirect
91. #4982C22semidirect
92. #4978C22semidirect
93. #4976C22semidirect
94. #4961C22semidirect
107. #4959C22semidirect
112. #4957C22semidirect
113. #4957C22semidirect
118. #4956C22semidirect
120. #4953C22semidirect
121. #4952C22semidirect
122. #4952C22semidirect
123. #4952C22semidirect
124. #4951C22semidirect
125. #4951C22semidirect
127. #4948C22semidirect
128. #4947C22semidirect
132. #4945C22semidirect
133. #4945C22semidirect
134. #4944C22semidirect
135. #4944C22semidirect
136. #4944C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
144. #4939C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4933C22semidirect
151. #4933C22semidirect
152. #4933C22semidirect
153. C4×Dic3⋊C4C22semidirect
154. C4×Dic3⋊C4C22semidirect
155. C4×Dic3⋊C4C22semidirect
156. #4676C22semidirect
157. #4675C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4673C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4670C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
170. #4666C22semidirect
171. #4666C22semidirect
172. #4666C22semidirect
173. #4666C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. C3⋊#401C22semidirect
177. #4658C22semidirect
178. #4657C22semidirect
179. #4654C22semidirect
180. #4654C22semidirect
181. #4653C22semidirect
182. #4652C22semidirect
183. #4652C22semidirect
184. #4651C22semidirect
185. #4650C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
216. #2342D3semidirect
417. C2×#117C2×D3semidirect
487. #388C2×D3semidirect
488. #388C2×D3semidirect
489. #388C2×D3semidirect
490. #388C2×D3semidirect
526. #381C2×D3semidirect
531. #380C2×D3semidirect
554. C4×C22⋊C4C2×D3semidirect
1617. C3#35716semidirect

Maximal subgroups

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

subgroupindex
C3×#23422
#822802
#822742
C2×#49592
C22⋊C4×#672
#821112
#820992
#759032
#758892
#758622
#756592
#756392
#755592
#755452
#755172
#746192
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