Finite Group Databasebeta

← #11302225

Subgroups — #11302225

Order 768.

2328 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#538C211yesmaximal, characteristic, complemented
2C2×#5595C211yesmaximal, characteristic, complemented
3#83115C211yesmaximal, characteristic, complemented
4#83107C211yesmaximal, characteristic, complemented
5#83092C211yesmaximal, characteristic, complemented
6#83083C211yesmaximal, characteristic, complemented
7#82989C211yesmaximal, characteristic, complemented
8#82988C211yesmaximal, characteristic, complemented
9#82975C211yesmaximal, characteristic, complemented
10#82970C211yesmaximal, characteristic, complemented
11#82910C211yesmaximal, characteristic, complemented
12#82875C211yesmaximal, characteristic, complemented
13#82847C211yesmaximal, characteristic, complemented
14#82845C211yesmaximal, characteristic, complemented
15#82826C211yesmaximal, characteristic, complemented
16#82799C211yesmaximal, characteristic, complemented
17#82688C211yesmaximal, characteristic, complemented
18#82686C211yesmaximal, characteristic, complemented
19#82683C211yesmaximal, characteristic, complemented
20#82681C211yesmaximal, characteristic, complemented
21#82666C211yesmaximal, characteristic, complemented
22#82645C211yesmaximal, characteristic, complemented
23#82592C211yesmaximal, characteristic, complemented
24#82592C211yesmaximal, characteristic, complemented
25#82579C211yesmaximal, characteristic, complemented
26#82406C211yesmaximal, characteristic, complemented
27#82371C211yesmaximal, characteristic, complemented
28#82364C211yesmaximal, characteristic, complemented
29#82357C211yesmaximal, characteristic, complemented
30#82107C211yesmaximal, characteristic, complemented
31#82107C211yesmaximal, characteristic, complemented
32#47849—31nomaximal, Sylow
33C3×#538—28no—
34C2×C3×#126C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic
36C2×C3×#124C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#120C2211yescharacteristic
45C2×C3×#120C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic
48C22×C3×C22⋊C4C2211yescharacteristic
49C2×#953C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C22×#217C2211yescharacteristic
53C2×#947C2211yescharacteristic, complemented
54C2×#940C2211yescharacteristic
55C2×#939C2211yescharacteristic
56C2×#939C2211yescharacteristic
57C2×#939C2211yescharacteristic
58C2×#939C2211yescharacteristic
59C2×#938C2211yescharacteristic
60C2×#938C2211yescharacteristic
61C2×#935C2211yescharacteristic
62C2×#935C2211yescharacteristic, complemented
63C2×D4×Dic3C2211yescharacteristic
64C2×D4×Dic3C2211yescharacteristic
65C2×#929C2211yescharacteristic
66C2×#929C2211yescharacteristic
67C2×#929C2211yescharacteristic, complemented
68C2×C4×#67C2211yescharacteristic, complemented
69#5595—28no—
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#883C2211yescharacteristic
73C2×#883C2211yescharacteristic
74C2×#879C2211yescharacteristic
75C2×#879C2211yescharacteristic
76#5230C2211yescharacteristic, complemented
77#5230C2211yescharacteristic, complemented
78#5229C2211yescharacteristic, complemented
79#5223C2211yescharacteristic
80#5223C2211yescharacteristic
81#5223C2211yescharacteristic
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic, complemented
84#5223C2211yescharacteristic, complemented
85#5222C2211yescharacteristic
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5221C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic, complemented
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic, complemented
99#5213C2211yescharacteristic, complemented
100#5212C2211yescharacteristic, complemented
101#5211C2211yescharacteristic
102#5211C2211yescharacteristic
103#5210C2211yescharacteristic
104#5210C2211yescharacteristic
105#5210C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107C2×C3⋊#95C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4993C2211yescharacteristic, complemented
111#4992C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4987C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4986C2211yescharacteristic, complemented
120#4986C2211yescharacteristic, complemented
121#4985C2211yescharacteristic, complemented
122#4983C2211yescharacteristic, complemented
123#4982C2211yescharacteristic, complemented
124#4982C2211yescharacteristic, complemented
125#4981C2211yescharacteristic, complemented
126#4978C2211yescharacteristic, complemented
127#4977C2211yescharacteristic, complemented
128#4976C2211yescharacteristic, complemented
129#4976C2211yescharacteristic, complemented
130#4976C2211yescharacteristic, complemented
131#4975C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4958C2211yescharacteristic
144#4958C2211yescharacteristic
145#4958C2211yescharacteristic
146#4958C2211yescharacteristic
147#4958C2211yescharacteristic
148#4958C2211yescharacteristic
149#4958C2211yescharacteristic, complemented
150#4958C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4953C2211yescharacteristic, complemented
154#4952C2211yescharacteristic
155#4952C2211yescharacteristic
156#4952C2211yescharacteristic
157#4952C2211yescharacteristic
158#4952C2211yescharacteristic
159#4952C2211yescharacteristic
160#4952C2211yescharacteristic
161#4952C2211yescharacteristic
162#4952C2211yescharacteristic, complemented
163#4952C2211yescharacteristic, complemented
164#4951C2211yescharacteristic
165#4951C2211yescharacteristic
166#4950C2211yescharacteristic
167#4950C2211yescharacteristic
168#4948C2211yescharacteristic, complemented
169#4948C2211yescharacteristic, complemented
170#4946C2211yescharacteristic, complemented
171#4946C2211yescharacteristic, complemented
172#4945C2211yescharacteristic, complemented
173#4944C2211yescharacteristic, complemented
174#4942C2211yescharacteristic
175#4942C2211yescharacteristic
176#4942C2211yescharacteristic
177#4942C2211yescharacteristic
178#4942C2211yescharacteristic
179#4942C2211yescharacteristic
180Dic3×C22⋊C4C2211yescharacteristic
181Dic3×C22⋊C4C2211yescharacteristic
182#4940C2211yescharacteristic, complemented
183#4939C2211yescharacteristic, complemented
184C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
185#4933C2211yescharacteristic, complemented
186#4933C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188C4×Dic3⋊C4C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#560—31no—
191C2×#538D311yescharacteristic, complemented
192#2717—31no—
193#2715—31no—
194#2708—31no—
195#2698—31no—
196#2695—31no—
197#2693—31no—
198#2691—31no—
199#2688—31no—
200#2682—31no—
201#2673—31no—
202#2672—31no—
203#2671—31no—
204#2617—31no—
205#2617—31no—
206#2555—31no—
207#2553—31no—
208#2544—31no—
209#2535—31no—
210#2496—31no—
211#2468—31no—
212#2456—31no—
213#2444—31no—
214#2425—31no—
215#2425—31no—
216#2422—31no—
217#2422—31no—
218#2412—31no—
219#2412—31no—
220#2358—31no—
221C25×C3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C3×#126—24no—
254C3×#126—24no—
255C3×#124—24no—
256C3×#124—24no—
257C3×#123—24no—
258C3×#123—24no—
259C3×C22⋊Q8—24no—
260C3×#121—24no—
261C3×#121—24no—
262C3×#121—24no—
263C3×#120—24no—
264C3×#120D418yescomplemented
265C3×C4×D4—24no—
266C3×C4×D4—24no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4—24no—
274C2×C3×C22⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290#953—24no—
291#953—24no—
292C2×#217—42no—
293C2×#217—42no—
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
318#947—42no—
319#940—24no—
320#939—24no—
321#939—24no—
322#939—42no—
323#939—42no—
324#938—24no—
325#938—24no—
326#935—24no—
327#935—42no—
328D4×Dic3—42no—
329D4×Dic3—42no—
330#929—42no—
331#929—42no—
332#929—42no—
333C4×#67—42no—
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377#884—24no—
378#884—24no—
379#883—24no—
380#883—24no—
381#879—24no—
382#879—24no—
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
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
417#560—68no—
418#538—28no—
419C2×#127—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126C2×D311yescharacteristic
423C2×#126C2×D311yescharacteristic
424C2×#124—31no—
425C2×#124C2×D311yescharacteristic
426C2×#124C2×D311yescharacteristic
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123C2×D311yescharacteristic
435C2×#123C2×D311yescharacteristic
436C2×C22⋊Q8C2×D311yescharacteristic
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121C2×D311yescharacteristic
446C2×#121C2×D311yescharacteristic
447C2×#121C2×D311yescharacteristic
448C2×#120—31no—
449C2×#120—31no—
450C2×#120C2×D311yescharacteristic
451C2×#120C2×D311yescharacteristic
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4C2×D311yescharacteristic
456C2×C4×D4C2×D311yescharacteristic
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4C2×D311yescharacteristic
460#400—31no—
461#400—31no—
462#400—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—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#396—31no—
481#396—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#394—31no—
499#394—31no—
500#394—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#391—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—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#385—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#384—31no—
557#382—31no—
558#381—31no—
559#381—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3—41no—
575C24×C3—41no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3C2×D414yes—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4C2×D414yes—
610C2×C3×D4C2×D414yes—
611C2×C3×D4C2×D414yes—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C2×D12—22no—
697C2×D12—41no—
698C2×D12—41no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
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⋊C4C2×D414yes—
723C3×C22⋊C4C2×D414yes—
724C3×C22⋊C4C2×D414yes—
725C3×C42—22no—
726C3×C42—22no—
727#217—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—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—41no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—41no—
794C25C22×D311yescharacteristic
795C22×Q8C22×D311yescharacteristic
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4C22×D311yescharacteristic
808C22×D4C22×D311yescharacteristic
809C22×D4C22×D311yescharacteristic
810C22×D4C22×D311yescharacteristic
811C22×D4C22×D311yescharacteristic
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826#127—64no—
827#126—24no—
828#126—24no—
829#126—64no—
830#126—64no—
831#124—24no—
832#124—24no—
833#124—122no—
834#123—24no—
835#123—24no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—122no—
840#123—122no—
841#123—122no—
842#123—122no—
843C22⋊Q8—24no—
844#121—24no—
845#121—24no—
846#121—24no—
847#121—64no—
848#121—64no—
849#121—64no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—122no—
854#121—122no—
855#120—24no—
856#120—64no—
857#120—64no—
858#120#6718yescomplemented
859C4×D4—24no—
860C4×D4—24no—
861C4×D4—122no—
862C4×D4—122no—
863C4×D4—122no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C22⋊C4—24no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
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—122no—
935C2×C22⋊C4—122no—
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42C22×D311yescharacteristic
955C2×C42C22×D311yescharacteristic
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
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—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
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—44no—
1022C23×C3—44no—
1023C23×C3—44no—
1024C23×C3—82no—
1025C23×C3—82no—
1026C23×C3—82no—
1027C23×C3—82no—
1028C23×C3C22×D412yes—
1029C23×C3C22×D412yes—
1030C23×C3C22×D412yes—
1031C23×C3C22×D412yes—
1032C23×C3C2511yescharacteristic
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C3×Q8—82no—
1048C3×D4—44no—
1049C3×D4—44no—
1050C3×D4—44no—
1051C3×D4—44no—
1052C3×D4—82no—
1053C3×D4—82no—
1054C3×D4—82no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
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—82no—
1083C2×C3×C4—82no—
1084C2×C3×C4—82no—
1085C2×C3×C4—82no—
1086C2×C3×C4C22×D412yes—
1087C2×C3×C4C22×D412yes—
1088C2×C3×C4C22×D412yes—
1089#67—44no—
1090#67—82no—
1091#67—82no—
1092#67—82no—
1093#67—82no—
1094#67—82no—
1095#67—82no—
1096#67—82no—
1097#67—82no—
1098#67—82no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
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—82no—
1140C2×Dic3—82no—
1141C2×Dic3—82no—
1142C2×Dic3—82no—
1143C2×Dic3—82no—
1144C2×Dic3—82no—
1145C2×Dic3H(5,𝔽2)12yes—
1146C2×Dic3H(5,𝔽2)12yes—
1147D12—82no—
1148C4×D3—82no—
1149C4×D3—82no—
1150C24—31no—
1151C24—31no—
1152C24—41no—
1153C24—41no—
1154C24—41no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24C2×#6714yes—
1159C24C23×D311yescharacteristic
1160C24C23×D311yescharacteristic
1161C24C23×D311yescharacteristic
1162C24C23×D311yescharacteristic
1163C24C23×D311yescharacteristic
1164C2×Q8—22no—
1165C2×Q8—41no—
1166C2×Q8—41no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4C2×#6714yes—
1219C2×D4C2×#6714yes—
1220C2×D4C2×#6714yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
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×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4C2×#6714yes—
1362C22⋊C4C2×#6714yes—
1363C22⋊C4C2×#6714yes—
1364C42—22no—
1365C42—22no—
1366C42—62no—
1367C42—62no—
1368C42—62no—
1369C42—121no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—88no—
1406C22×C3C23×D411yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3C2×H(5,𝔽2)11yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C22×C3#58511yescharacteristic
1412C22×C3#58511yescharacteristic
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—22no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437Dic3—22no—
1438Dic3—22no—
1439Dic3—41no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—82no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23C22×#6712yes—
1504C23C22×#6712yes—
1505C23C22×#6712yes—
1506C23C22×#6712yes—
1507C23C24×D311yescharacteristic
1508Q8—82no—
1509D4—44no—
1510D4—44no—
1511D4—44no—
1512D4—44no—
1513D4—82no—
1514D4—82no—
1515D4—82no—
1516D4—124no—
1517D4—242no—
1518D4—242no—
1519D4—242no—
1520D4—242no—
1521D4—242no—
1522D4—242no—
1523D4—242no—
1524D4—242no—
1525D4—242no—
1526D4—242no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—32no—
1555C2×C4—32no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
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—82no—
1597C2×C4—82no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4—242no—
1605C2×C4—242no—
1606C2×C4—242no—
1607C2×C4—242no—
1608C2×C4C22×#6712yes—
1609C2×C4C22×#6712yes—
1610C2×C4C22×#6712yes—
1611C2×C3—42no—
1612C2×C3—42no—
1613C2×C3—42no—
1614C2×C3—42no—
1615C2×C3—81no—
1616C2×C3#348511yescharacteristic
1617C2×C3#349611yescharacteristic
1618C2×C3#349611yescharacteristic
1619C2×C3#353311yescharacteristic
1620C2×C3#354611yescharacteristic
1621C2×C3#356011yescharacteristic
1622C2×C3#356611yescharacteristic
1623D3—81no—
1624D3—81no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—88no—
1661C22—121no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22#596411yescharacteristic
1676C22#596411yescharacteristic
1677C22D3×H(5,𝔽2)11yescharacteristic
1678C22D3×H(5,𝔽2)11yescharacteristic
1679C22#596611yescharacteristic
1680C22#596611yescharacteristic
1681C22C23×#6711yescharacteristic
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—62no—
1693C4—62no—
1694C4—121no—
1695C4—121no—
1696C4—121no—
1697C4—121no—
1698C4—121no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C3#4784911yescharacteristic, complemented, Sylow
1707C2—42no—
1708C2—42no—
1709C2—42no—
1710C2—42no—
1711C2—81no—
1712C2—241no—
1713C2—241no—
1714C2#8640111yescharacteristic
1715C2#8640911yescharacteristic
1716C2#8641911yescharacteristic
1717C2#8642611yescharacteristic
1718C2#8727311yescharacteristic
1719C2#8728111yescharacteristic
1720C2#8728111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#538C2
hypercenterC2×#538D3
hypocenterC3#47849
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C3×#538C2semidirect
2. C2×#5595C2semidirect
3. #83115C2semidirect
4. #83107C2semidirect
5. #83092C2semidirect
6. #83083C2semidirect
7. #82989C2semidirect
8. #82988C2semidirect
9. #82975C2semidirect
10. #82970C2semidirect
11. #82910C2semidirect
12. #82875C2semidirect
13. #82847C2semidirect
14. #82845C2semidirect
15. #82826C2semidirect
16. #82799C2semidirect
17. #82688C2semidirect
18. #82686C2semidirect
19. #82683C2semidirect
20. #82681C2semidirect
21. #82666C2semidirect
22. #82645C2semidirect
23. #82592C2semidirect
24. #82592C2semidirect
25. #82579C2semidirect
26. #82406C2semidirect
27. #82371C2semidirect
28. #82364C2semidirect
29. #82357C2semidirect
30. #82107C2semidirect
31. #82107C2semidirect
53. C2×#947C22semidirect
62. C2×#935C22semidirect
67. C2×#929C22semidirect
68. C2×C4×#67C22semidirect
76. #5230C22semidirect
77. #5230C22semidirect
78. #5229C22semidirect
83. #5223C22semidirect
84. #5223C22semidirect
95. #5220C22semidirect
98. #5213C22semidirect
99. #5213C22semidirect
100. #5212C22semidirect
105. #5210C22semidirect
106. #5210C22semidirect
107. C2×C3⋊#95C22semidirect
108. #4994C22semidirect
109. #4994C22semidirect
110. #4993C22semidirect
111. #4992C22semidirect
112. #4991C22semidirect
113. #4990C22semidirect
114. #4989C22semidirect
115. #4989C22semidirect
116. #4989C22semidirect
117. #4987C22semidirect
118. #4987C22semidirect
119. #4986C22semidirect
120. #4986C22semidirect
121. #4985C22semidirect
122. #4983C22semidirect
123. #4982C22semidirect
124. #4982C22semidirect
125. #4981C22semidirect
126. #4978C22semidirect
127. #4977C22semidirect
128. #4976C22semidirect
129. #4976C22semidirect
130. #4976C22semidirect
131. #4975C22semidirect
132. #4960C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
149. #4958C22semidirect
150. #4958C22semidirect
151. #4957C22semidirect
152. #4956C22semidirect
153. #4953C22semidirect
162. #4952C22semidirect
163. #4952C22semidirect
168. #4948C22semidirect
169. #4948C22semidirect
170. #4946C22semidirect
171. #4946C22semidirect
172. #4945C22semidirect
173. #4944C22semidirect
182. #4940C22semidirect
183. #4939C22semidirect
184. C4×(C2×D3)⋊C4C22semidirect
185. #4933C22semidirect
186. #4933C22semidirect
187. #4933C22semidirect
188. C4×Dic3⋊C4C22semidirect
189. #4928C22semidirect
191. C2×#538D3semidirect
264. C3×#120D4semidirect
858. #120#67semidirect
1706. C3#47849semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5382
C2×#55952
#831152
#831072
#830922
#830832
#829892
#829882
#829752
#829702
#829102
#828752
#828472
#828452
#828262
#827992
#826882
#826862
#826832
#826812
#826662
#826452
#825922
#825792
#824062
#823712
#823642
#823572
#821072
#478493