Finite Group Databasebeta

← #11183168

Subgroups — #11183168

Order 768.

2606 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#546C211yesmaximal, characteristic, complemented
2C2×#5614C211yesmaximal, characteristic, complemented
3#84097C211yesmaximal, characteristic, complemented
4#84090C211yesmaximal, characteristic, complemented
5#84053C211yesmaximal, characteristic, complemented
6#84047C211yesmaximal, characteristic, complemented
7#82968C211yesmaximal, characteristic, complemented
8#82964C211yesmaximal, characteristic, complemented
9#82910C211yesmaximal, characteristic, complemented
10#82897C211yesmaximal, characteristic, complemented
11#82888C211yesmaximal, characteristic, complemented
12#82876C211yesmaximal, characteristic, complemented
13#82817C211yesmaximal, characteristic, complemented
14#82796C211yesmaximal, characteristic, complemented
15#82688C211yesmaximal, characteristic, complemented
16#82673C211yesmaximal, characteristic, complemented
17#82658C211yesmaximal, characteristic, complemented
18#82655C211yesmaximal, characteristic, complemented
19#82635C211yesmaximal, characteristic, complemented
20#82608C211yesmaximal, characteristic, complemented
21#82608C211yesmaximal, characteristic, complemented
22#82600C211yesmaximal, characteristic, complemented
23#82585C211yesmaximal, characteristic, complemented
24#82419C211yesmaximal, characteristic, complemented
25#82371C211yesmaximal, characteristic, complemented
26#82346C211yesmaximal, characteristic, complemented
27#82340C211yesmaximal, characteristic, complemented
28#82113C211yesmaximal, characteristic, complemented
29#82112C211yesmaximal, characteristic, complemented
30#82099C211yesmaximal, characteristic, complemented
31#82096C211yesmaximal, characteristic, complemented
32#43546—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C3×#546—28no—
36C2×C3×#124C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#120C2211yescharacteristic
44C2×C3×#120C2211yescharacteristic
45C2×C3×C4×D4C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic
47C22×C3×C22⋊C4C2211yescharacteristic
48C22×C3×C22⋊C4C2211yescharacteristic
49C2×#953C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C2×#946C2211yescharacteristic, complemented
53C2×#939C2211yescharacteristic
54C2×#938C2211yescharacteristic
55C2×#938C2211yescharacteristic
56C2×#938C2211yescharacteristic, complemented
57C2×#938C2211yescharacteristic, complemented
58C2×#935C2211yescharacteristic
59C2×#935C2211yescharacteristic
60C2×#935C2211yescharacteristic, complemented
61C2×#935C2211yescharacteristic, complemented
62C2×D4×Dic3C2211yescharacteristic, complemented
63C2×C4×#67C2211yescharacteristic
64C2×C4×#67C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic, complemented
66C2×#926C2211yescharacteristic, complemented
67C22×Dic3⋊C4C2211yescharacteristic, complemented
68#5614—28no—
69C2×D3×C4⋊C4C2211yescharacteristic, complemented
70C2×#890C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×#879C2211yescharacteristic, complemented
74C2×#879C2211yescharacteristic, complemented
75#5247C2211yescharacteristic
76#5247C2211yescharacteristic
77#5247C2211yescharacteristic
78#5247C2211yescharacteristic
79#5247C2211yescharacteristic
80#5230C2211yescharacteristic, complemented
81#5230C2211yescharacteristic, complemented
82#5229C2211yescharacteristic, complemented
83#5223C2211yescharacteristic
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic, complemented
86#5223C2211yescharacteristic, complemented
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5221C2211yescharacteristic
98#5221C2211yescharacteristic
99#5221C2211yescharacteristic, complemented
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5213C2211yescharacteristic, complemented
110#5213C2211yescharacteristic, complemented
111#5213C2211yescharacteristic, complemented
112#5212C2211yescharacteristic
113#5212C2211yescharacteristic, complemented
114#5211C2211yescharacteristic, complemented
115#5211C2211yescharacteristic, complemented
116#5210C2211yescharacteristic
117#5210C2211yescharacteristic
118#5210C2211yescharacteristic, complemented
119#5210C2211yescharacteristic, complemented
120#5210C2211yescharacteristic, complemented
121#5210C2211yescharacteristic, complemented
122#5210C2211yescharacteristic, complemented
123#5210C2211yescharacteristic, complemented
124#5210C2211yescharacteristic, complemented
125C4×#217C2211yescharacteristic, complemented
126C4×#217C2211yescharacteristic, complemented
127C4×#217C2211yescharacteristic, complemented
128#4989C2211yescharacteristic, complemented
129#4989C2211yescharacteristic, complemented
130#4989C2211yescharacteristic, complemented
131#4986C2211yescharacteristic, complemented
132#4986C2211yescharacteristic, complemented
133#4982C2211yescharacteristic, complemented
134#4982C2211yescharacteristic, complemented
135#4981C2211yescharacteristic, complemented
136#4981C2211yescharacteristic, complemented
137#4980C2211yescharacteristic, complemented
138#4980C2211yescharacteristic, complemented
139#4978C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141#4976C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4957C2211yescharacteristic
146#4957C2211yescharacteristic, complemented
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4953C2211yescharacteristic
153#4953C2211yescharacteristic
154#4953C2211yescharacteristic, complemented
155#4953C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4952C2211yescharacteristic, complemented
158#4952C2211yescharacteristic, complemented
159#4952C2211yescharacteristic, complemented
160#4952C2211yescharacteristic, complemented
161#4952C2211yescharacteristic, complemented
162#4951C2211yescharacteristic, complemented
163#4951C2211yescharacteristic, complemented
164#4949C2211yescharacteristic
165#4949C2211yescharacteristic, complemented
166#4949C2211yescharacteristic, complemented
167#4949C2211yescharacteristic, complemented
168#4948C2211yescharacteristic
169#4948C2211yescharacteristic, complemented
170#4946C2211yescharacteristic, complemented
171#4946C2211yescharacteristic, complemented
172#4945C2211yescharacteristic
173#4945C2211yescharacteristic
174#4945C2211yescharacteristic, complemented
175#4945C2211yescharacteristic, complemented
176#4944C2211yescharacteristic
177#4944C2211yescharacteristic
178#4944C2211yescharacteristic
179#4944C2211yescharacteristic, complemented
180#4944C2211yescharacteristic, complemented
181#4944C2211yescharacteristic, complemented
182#4944C2211yescharacteristic, complemented
183#4942C2211yescharacteristic, complemented
184Dic3×C22⋊C4C2211yescharacteristic, complemented
185Dic3×C22⋊C4C2211yescharacteristic, complemented
186#4940C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188C4×Dic3⋊C4C2211yescharacteristic, complemented
189C4×Dic3⋊C4C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#546D311yescharacteristic, complemented
192#2724—31no—
193#2708—31no—
194#2697—31no—
195#2694—31no—
196#2690—31no—
197#2688—31no—
198#2668—31no—
199#2668—31no—
200#2600—31no—
201#2559—31no—
202#2521—31no—
203#2482—31no—
204#2480—31no—
205#2468—31no—
206#2464—31no—
207#2461—31no—
208#2449—31no—
209#2443—31no—
210#2443—31no—
211#2418—31no—
212#2408—31no—
213#2407—31no—
214#2406—31no—
215#2405—31no—
216#2395—31no—
217#2361—31no—
218#2358—31no—
219#2333—31no—
220#2321—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4—24no—
228C22×C3×D4—42no—
229C22×C3×D4—42no—
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C3×#124—24no—
259C3×#123—24no—
260C3×#123—24no—
261C3×C22⋊Q8—24no—
262C3×#121—24no—
263C3×#121—24no—
264C3×#121D418yescomplemented
265C3×#120—24no—
266C3×#120—24no—
267C3×C4×D4—24no—
268C3×C4×D4—24no—
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4—24no—
274C2×C3×C22⋊C4—24no—
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288#953—24no—
289#953—24no—
290C2×#217—42no—
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329#946—42no—
330#939—24no—
331#938—24no—
332#938—24no—
333#938—24no—
334#938—42no—
335#935—24no—
336#935—24no—
337#935—42no—
338#935—42no—
339D4×Dic3—24no—
340C4×#67—24no—
341C4×#67—42no—
342C4×#67—42no—
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349#926—24no—
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×Dic3⋊C4—42no—
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382D3×C4⋊C4—24no—
383#890—24no—
384#67⋊C4—24no—
385#67⋊C4—24no—
386#879—24no—
387#879—24no—
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41C2×D311yescharacteristic
421C23×D4C2×D311yescharacteristic
422#553—68no—
423#546—28no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#125—31no—
427C2×#124C2×D311yescharacteristic
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123C2×D311yescharacteristic
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121C2×D311yescharacteristic
442C2×#121C2×D311yescharacteristic
443C2×#121C2×D311yescharacteristic
444C2×#120—31no—
445C2×#120—31no—
446C2×#120C2×D311yescharacteristic
447C2×#120C2×D311yescharacteristic
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4C2×D311yescharacteristic
455C2×C4×D4C2×D311yescharacteristic
456C2×#117—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4C2×D311yescharacteristic
461C22×C22⋊C4C2×D311yescharacteristic
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#389—31no—
509#389—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C3×#41—416no—
599C2×C3×Q8—22no—
600C2×C3×Q8—22no—
601C2×C3×Q8—41no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—416no—
627C2×C3×D4C2×D414yes—
628C2×C3×D4C2×D414yes—
629C2×C3×D4C2×D414yes—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4C2×D414yes—
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67#4114yescomplemented
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3—41no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4C2×D414yes—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4C2×D414yes—
726C3×C22⋊C4C2×D414yes—
727C3×C42—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—41no—
777C4⋊Dic3—41no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C4×Dic3—41no—
802C4×Dic3—41no—
803C25C22×D311yescharacteristic
804C25C22×D311yescharacteristic
805C2×#41—24no—
806C2×#41—42no—
807C2×#41—42no—
808C22×Q8C22×D311yescharacteristic
809C22×D4—24no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—42no—
817C22×D4—42no—
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837C23×C4C22×D311yescharacteristic
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840#126—64no—
841#126—64no—
842#125—64no—
843#124—24no—
844#123—24no—
845#123—24no—
846#123—64no—
847#123—64no—
848#123—122no—
849#123—122no—
850C22⋊Q8—24no—
851C22⋊Q8—122no—
852#121—24no—
853#121—24no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—122no—
859#121#6718yescomplemented
860#120—24no—
861#120—24no—
862#120—64no—
863#120—64no—
864C4×D4—24no—
865C4×D4—24no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—64no—
870C4×D4—122no—
871C4×D4—122no—
872#117—64no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—64no—
898C2×C4⋊C4—122no—
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C22⋊C4—24no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—122no—
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42C22×D311yescharacteristic
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—44no—
1040C23×C3—44no—
1041C23×C3—44no—
1042C23×C3—44no—
1043C23×C3—44no—
1044C23×C3—82no—
1045C23×C3—82no—
1046C23×C3—82no—
1047C23×C3—82no—
1048C23×C3—82no—
1049C23×C3—82no—
1050C23×C3—82no—
1051C23×C3—82no—
1052C23×C3—82no—
1053C23×C3C22×D412yes—
1054C23×C3C22×D412yes—
1055C23×C3C22×D412yes—
1056C23×C3C2×#4112yes—
1057C23×C3H(5,𝔽2)12yes—
1058C23×C3C2511yescharacteristic
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3C2×#4112yes—
1066C3×Q8—44no—
1067C3×D4—28no—
1068C3×D4—44no—
1069C3×D4—44no—
1070C3×D4—44no—
1071C3×D4—44no—
1072C3×D4—44no—
1073C3×D4—44no—
1074C3×D4—44no—
1075C3×D4—82no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—44no—
1099C2×C3×C4—44no—
1100C2×C3×C4—44no—
1101C2×C3×C4—44no—
1102C2×C3×C4—44no—
1103C2×C3×C4—82no—
1104C2×C3×C4C22×D412yes—
1105C2×C3×C4C22×D412yes—
1106C2×C3×C4C22×D412yes—
1107C2×C3×C4C22×D412yes—
1108C2×C3×C4H(5,𝔽2)12yes—
1109#67—44no—
1110#67—44no—
1111#67—44no—
1112#67—44no—
1113#67—44no—
1114#67—82no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—44no—
1160C2×Dic3—82no—
1161C2×Dic3—82no—
1162C2×Dic3—82no—
1163C2×Dic3C2×#4112yes—
1164C4×D3—44no—
1165C4×D3—82no—
1166C4×D3—82no—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—22no—
1171C24—22no—
1172C24—31no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24—41no—
1177C24—41no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24—41no—
1182C24C23×D311yescharacteristic
1183C24C23×D311yescharacteristic
1184C24C23×D311yescharacteristic
1185C24C23×D311yescharacteristic
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188#41—416no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—41no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—34no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—416no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4C2×#6714yes—
1236C2×D4C2×#6714yes—
1237C2×D4C2×#6714yes—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4C2×#6714yes—
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4C2×#6714yes—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4C2×#6714yes—
1384C22⋊C4C2×#6714yes—
1385C42—22no—
1386C42—62no—
1387C42—62no—
1388C42—62no—
1389C42—121no—
1390C42—121no—
1391C42—121no—
1392C42—121no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—22no—
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—88no—
1436C22×C3—88no—
1437C22×C3C23×D411yescharacteristic
1438C22×C3C22×#4111yescharacteristic
1439C22×C3C2×H(5,𝔽2)11yescharacteristic
1440C22×C3C2×H(5,𝔽2)11yescharacteristic
1441C22×C3#58511yescharacteristic
1442C22×C3#58511yescharacteristic
1443C22×C3#58511yescharacteristic
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C3×C4—22no—
1452C3×C4—22no—
1453C3×C4—22no—
1454C3×C4—22no—
1455C3×C4—22no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459C3×C4—41no—
1460Dic3—22no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—32no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—82no—
1525C23—82no—
1526C23—82no—
1527C23—82no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—82no—
1532C23—82no—
1533C23#100412yes—
1534C23D3×#4112yes—
1535C23C22×#6712yes—
1536C23C22×#6712yes—
1537C23C22×#6712yes—
1538C23C24×D311yescharacteristic
1539Q8—44no—
1540D4—28no—
1541D4—44no—
1542D4—44no—
1543D4—44no—
1544D4—44no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—82no—
1549D4—124no—
1550D4—124no—
1551D4—124no—
1552D4—124no—
1553D4—124no—
1554D4—242no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—32no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—82no—
1628C2×C4—124no—
1629C2×C4—124no—
1630C2×C4—242no—
1631C2×C4—242no—
1632C2×C4—242no—
1633C2×C4—242no—
1634C2×C4—242no—
1635C2×C4#100412yes—
1636C2×C4C22×#6712yes—
1637C2×C4C22×#6712yes—
1638C2×C4C22×#6712yes—
1639C2×C4C22×#6712yes—
1640C2×C3—42no—
1641C2×C3—42no—
1642C2×C3—42no—
1643C2×C3—42no—
1644C2×C3—42no—
1645C2×C3—81no—
1646C2×C3D4×#4111yescharacteristic
1647C2×C3#348411yescharacteristic
1648C2×C3#348511yescharacteristic
1649C2×C3#350511yescharacteristic
1650C2×C3#351311yescharacteristic
1651C2×C3#356011yescharacteristic
1652C2×C3#356211yescharacteristic
1653D3—42no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—62no—
1697C22—62no—
1698C22—62no—
1699C22—88no—
1700C22—88no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22C2×#100411yescharacteristic
1706C22C2×#100411yescharacteristic
1707C22C2×D3×#4111yescharacteristic
1708C22#596411yescharacteristic
1709C22#596611yescharacteristic
1710C22#596611yescharacteristic
1711C22C23×#6711yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—62no—
1722C4—121no—
1723C4—121no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C4—121no—
1733C4—121no—
1734C4—121no—
1735C4—121no—
1736C3#4354611yescharacteristic, complemented, Sylow
1737C2—42no—
1738C2—42no—
1739C2—42no—
1740C2—42no—
1741C2—42no—
1742C2—81no—
1743C2—122no—
1744C2#8663511yescharacteristic
1745C2#8665711yescharacteristic
1746C2#8666011yescharacteristic
1747C2#8666611yescharacteristic
1748C2#8723911yescharacteristic
1749C2#41×#6711yescharacteristic
1750C2#8728011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#546C2
hypercenterC2×#546D3
hypocenterC3#43546
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C2×C3×#546C2semidirect
2. C2×#5614C2semidirect
3. #84097C2semidirect
4. #84090C2semidirect
5. #84053C2semidirect
6. #84047C2semidirect
7. #82968C2semidirect
8. #82964C2semidirect
9. #82910C2semidirect
10. #82897C2semidirect
11. #82888C2semidirect
12. #82876C2semidirect
13. #82817C2semidirect
14. #82796C2semidirect
15. #82688C2semidirect
16. #82673C2semidirect
17. #82658C2semidirect
18. #82655C2semidirect
19. #82635C2semidirect
20. #82608C2semidirect
21. #82608C2semidirect
22. #82600C2semidirect
23. #82585C2semidirect
24. #82419C2semidirect
25. #82371C2semidirect
26. #82346C2semidirect
27. #82340C2semidirect
28. #82113C2semidirect
29. #82112C2semidirect
30. #82099C2semidirect
31. #82096C2semidirect
52. C2×#946C22semidirect
56. C2×#938C22semidirect
57. C2×#938C22semidirect
60. C2×#935C22semidirect
61. C2×#935C22semidirect
62. C2×D4×Dic3C22semidirect
64. C2×C4×#67C22semidirect
65. C2×C4×#67C22semidirect
66. C2×#926C22semidirect
67. C22×Dic3⋊C4C22semidirect
69. C2×D3×C4⋊C4C22semidirect
70. C2×#890C22semidirect
71. C2×#67⋊C4C22semidirect
72. C2×#67⋊C4C22semidirect
73. C2×#879C22semidirect
74. C2×#879C22semidirect
80. #5230C22semidirect
81. #5230C22semidirect
82. #5229C22semidirect
85. #5223C22semidirect
86. #5223C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
99. #5221C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
109. #5213C22semidirect
110. #5213C22semidirect
111. #5213C22semidirect
113. #5212C22semidirect
114. #5211C22semidirect
115. #5211C22semidirect
118. #5210C22semidirect
119. #5210C22semidirect
120. #5210C22semidirect
121. #5210C22semidirect
122. #5210C22semidirect
123. #5210C22semidirect
124. #5210C22semidirect
125. C4×#217C22semidirect
126. C4×#217C22semidirect
127. C4×#217C22semidirect
128. #4989C22semidirect
129. #4989C22semidirect
130. #4989C22semidirect
131. #4986C22semidirect
132. #4986C22semidirect
133. #4982C22semidirect
134. #4982C22semidirect
135. #4981C22semidirect
136. #4981C22semidirect
137. #4980C22semidirect
138. #4980C22semidirect
139. #4978C22semidirect
140. #4976C22semidirect
141. #4976C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4958C22semidirect
146. #4957C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
154. #4953C22semidirect
155. #4953C22semidirect
156. #4952C22semidirect
157. #4952C22semidirect
158. #4952C22semidirect
159. #4952C22semidirect
160. #4952C22semidirect
161. #4952C22semidirect
162. #4951C22semidirect
163. #4951C22semidirect
165. #4949C22semidirect
166. #4949C22semidirect
167. #4949C22semidirect
169. #4948C22semidirect
170. #4946C22semidirect
171. #4946C22semidirect
174. #4945C22semidirect
175. #4945C22semidirect
179. #4944C22semidirect
180. #4944C22semidirect
181. #4944C22semidirect
182. #4944C22semidirect
183. #4942C22semidirect
184. Dic3×C22⋊C4C22semidirect
185. Dic3×C22⋊C4C22semidirect
186. #4940C22semidirect
187. #4933C22semidirect
188. C4×Dic3⋊C4C22semidirect
189. C4×Dic3⋊C4C22semidirect
191. C2×#546D3semidirect
264. C3×#121D4semidirect
674. C2×#67#41semidirect
859. #121#67semidirect
1736. C3#43546semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5462
C2×#56142
#840972
#840902
#840532
#840472
#829682
#829642
#829102
#828972
#828882
#828762
#828172
#827962
#826882
#826732
#826582
#826552
#826352
#826082
#826002
#825852
#824192
#823712
#823462
#823402
#821132
#821122
#820992
#820962
#435463