Finite Group Databasebeta

← #11235563

Subgroups — #11235563

Order 768.

2564 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#525C211yesmaximal, characteristic, complemented
2C2×#5667C211yesmaximal, characteristic, complemented
3#84097C211yesmaximal, characteristic, complemented
4#84091C211yesmaximal, characteristic, complemented
5#84032C211yesmaximal, characteristic, complemented
6#84031C211yesmaximal, characteristic, complemented
7#82911C211yesmaximal, characteristic, complemented
8#82889C211yesmaximal, characteristic, complemented
9#82840C211yesmaximal, characteristic, complemented
10#82829C211yesmaximal, characteristic, complemented
11#82797C211yesmaximal, characteristic, complemented
12#82796C211yesmaximal, characteristic, complemented
13#82793C211yesmaximal, characteristic, complemented
14#82718C211yesmaximal, characteristic, complemented
15#82693C211yesmaximal, characteristic, complemented
16#82684C211yesmaximal, characteristic, complemented
17#82682C211yesmaximal, characteristic, complemented
18#82610C211yesmaximal, characteristic, complemented
19#82608C211yesmaximal, characteristic, complemented
20#82596C211yesmaximal, characteristic, complemented
21#82595C211yesmaximal, characteristic, complemented
22#82413C211yesmaximal, characteristic, complemented
23#82411C211yesmaximal, characteristic, complemented
24#82408C211yesmaximal, characteristic, complemented
25#82368C211yesmaximal, characteristic, complemented
26#82367C211yesmaximal, characteristic, complemented
27#82363C211yesmaximal, characteristic, complemented
28#82361C211yesmaximal, characteristic, complemented
29#82355C211yesmaximal, characteristic, complemented
30#82278C211yesmaximal, characteristic, complemented
31#82250C211yesmaximal, characteristic, complemented
32#45451—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C24×C3×C4C2211yescharacteristic
35C3×#525—28no—
36C2×C3×#123C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#120C2211yescharacteristic
43C2×C3×#120C2211yescharacteristic
44C2×C3×C4×D4C2211yescharacteristic
45C2×C3×C4×D4C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic
48C2×C3×#117C2211yescharacteristic
49C2×#953C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C2×#946C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic, complemented
55C2×#938C2211yescharacteristic
56C2×#938C2211yescharacteristic
57C2×#936C2211yescharacteristic
58C2×#935C2211yescharacteristic
59C2×#930C2211yescharacteristic
60C2×#930C2211yescharacteristic
61C2×#930C2211yescharacteristic
62C2×#929C2211yescharacteristic, complemented
63C2×C4×#67C2211yescharacteristic, complemented
64C2×#924C2211yescharacteristic
65C2×#924C2211yescharacteristic
66C2×#924C2211yescharacteristic
67#5667—28no—
68C2×#897C2211yescharacteristic, complemented
69C2×#896C2211yescharacteristic, complemented
70C2×#894C2211yescharacteristic, complemented
71C2×#890C2211yescharacteristic, complemented
72C2×#886C2211yescharacteristic, complemented
73C2×#885C2211yescharacteristic
74C2×#885C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic
77C2×#878C2211yescharacteristic, complemented
78#5247C2211yescharacteristic
79#5247C2211yescharacteristic
80#5231C2211yescharacteristic, complemented
81#5230C2211yescharacteristic, complemented
82#5229C2211yescharacteristic, complemented
83#5223C2211yescharacteristic
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic, complemented
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic, complemented
97#5221C2211yescharacteristic
98#5221C2211yescharacteristic
99#5221C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic, complemented
104#5213C2211yescharacteristic
105#5213C2211yescharacteristic
106#5213C2211yescharacteristic
107#5213C2211yescharacteristic
108#5213C2211yescharacteristic
109#5213C2211yescharacteristic
110#5213C2211yescharacteristic, complemented
111#5213C2211yescharacteristic, complemented
112#5212C2211yescharacteristic
113#5212C2211yescharacteristic
114#5212C2211yescharacteristic
115#5212C2211yescharacteristic
116#5212C2211yescharacteristic
117#5212C2211yescharacteristic
118#5212C2211yescharacteristic, complemented
119#5210C2211yescharacteristic
120#5210C2211yescharacteristic
121#5210C2211yescharacteristic
122#5210C2211yescharacteristic
123#5210C2211yescharacteristic
124#5210C2211yescharacteristic
125#5210C2211yescharacteristic, complemented
126#5210C2211yescharacteristic, complemented
127C2×C3⋊#95C2211yescharacteristic, complemented
128#4994C2211yescharacteristic, complemented
129#4994C2211yescharacteristic, complemented
130#4994C2211yescharacteristic, complemented
131#4994C2211yescharacteristic, complemented
132#4991C2211yescharacteristic, complemented
133#4990C2211yescharacteristic, complemented
134#4989C2211yescharacteristic, complemented
135#4986C2211yescharacteristic, complemented
136#4986C2211yescharacteristic, complemented
137#4984C2211yescharacteristic, complemented
138#4984C2211yescharacteristic, complemented
139#4982C2211yescharacteristic, complemented
140#4982C2211yescharacteristic, complemented
141#4981C2211yescharacteristic, complemented
142#4980C2211yescharacteristic, complemented
143#4980C2211yescharacteristic, complemented
144#4979C2211yescharacteristic, complemented
145#4979C2211yescharacteristic, complemented
146#4978C2211yescharacteristic, complemented
147#4976C2211yescharacteristic, complemented
148#4961C2211yescharacteristic
149#4961C2211yescharacteristic
150#4961C2211yescharacteristic, complemented
151#4961C2211yescharacteristic, complemented
152#4960C2211yescharacteristic, complemented
153#4959C2211yescharacteristic
154#4959C2211yescharacteristic
155#4957C2211yescharacteristic
156#4957C2211yescharacteristic
157#4957C2211yescharacteristic
158#4956C2211yescharacteristic
159#4956C2211yescharacteristic
160#4956C2211yescharacteristic
161#4953C2211yescharacteristic
162#4953C2211yescharacteristic
163#4953C2211yescharacteristic, complemented
164#4952C2211yescharacteristic
165#4952C2211yescharacteristic
166#4951C2211yescharacteristic
167#4951C2211yescharacteristic
168#4951C2211yescharacteristic, complemented
169#4951C2211yescharacteristic, complemented
170#4950C2211yescharacteristic, complemented
171#4950C2211yescharacteristic, complemented
172#4949C2211yescharacteristic
173#4949C2211yescharacteristic, complemented
174#4948C2211yescharacteristic
175#4948C2211yescharacteristic
176#4948C2211yescharacteristic, complemented
177#4948C2211yescharacteristic, complemented
178#4947C2211yescharacteristic
179#4947C2211yescharacteristic, complemented
180#4945C2211yescharacteristic
181#4944C2211yescharacteristic
182#4940C2211yescharacteristic, complemented
183#4940C2211yescharacteristic, complemented
184#4940C2211yescharacteristic, complemented
185C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
186#4933C2211yescharacteristic, complemented
187C4×Dic3⋊C4C2211yescharacteristic, complemented
188#4929C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#562—31no—
191C2×#525D311yescharacteristic, complemented
192#2848—31no—
193#2847—31no—
194#2814—31no—
195#2813—31no—
196#2703—31no—
197#2692—31no—
198#2690—31no—
199#2683—31no—
200#2681—31no—
201#2678—31no—
202#2678—31no—
203#2676—31no—
204#2675—31no—
205#2672—31no—
206#2670—31no—
207#2668—31no—
208#2474—31no—
209#2470—31no—
210#2464—31no—
211#2463—31no—
212#2461—31no—
213#2456—31no—
214#2454—31no—
215#2450—31no—
216#2430—31no—
217#2427—31no—
218#2425—31no—
219#2407—31no—
220#2376—31no—
221C25×C3C2311yescharacteristic
222C2×C3×#41—24no—
223C2×C3×#41—42no—
224C2×C3×#41—42no—
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4—24no—
234C23×C3×C4—42no—
235C23×C3×C4—42no—
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C3×#123—24no—
262C3×#123D418yescomplemented
263C3×C22⋊Q8—24no—
264C3×C22⋊Q8—24no—
265C3×#121—24no—
266C3×#121—24no—
267C3×#120—24no—
268C3×#120—24no—
269C3×C4×D4—24no—
270C3×C4×D4—24no—
271C3×C4×D4—24no—
272C3×C4×D4—24no—
273C3×#117—24no—
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292#953—42no—
293#953—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
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322#946—42no—
323#939—24no—
324#939—42no—
325#939—42no—
326#938—24no—
327#938—42no—
328#936—42no—
329#935—42no—
330#930—24no—
331#930—42no—
332#930—42no—
333#929—42no—
334C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362#924—24no—
363#924—42no—
364#924—42no—
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×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383#897—24no—
384#896—24no—
385#894—24no—
386#890—24no—
387#886—24no—
388#885—24no—
389#885—24no—
390#884—24no—
391#883—24no—
392#878—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41C2×D311yescharacteristic
424C24×C4C2×D311yescharacteristic
425#562—68no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430#525—28no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123C2×D311yescharacteristic
437C2×#123C2×D311yescharacteristic
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8C2×D311yescharacteristic
446C2×C22⋊Q8C2×D311yescharacteristic
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121C2×D311yescharacteristic
457C2×#121C2×D311yescharacteristic
458C2×#120—31no—
459C2×#120—31no—
460C2×#120C2×D311yescharacteristic
461C2×#120C2×D311yescharacteristic
462C2×C4×D4—31no—
463C2×C4×D4C2×D311yescharacteristic
464C2×C4×D4C2×D311yescharacteristic
465C2×C4×D4C2×D311yescharacteristic
466C2×C4×D4C2×D311yescharacteristic
467C2×#117C2×D311yescharacteristic
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—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#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#395—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#394—31no—
502#394—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#391—31no—
517#391—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#389—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C3×#41—416no—
595C2×C3×Q8—22no—
596C2×C3×Q8—22no—
597C2×C3×Q8—41no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
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—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4C2×D414yes—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—416no—
643C22×C3×C4C2×D414yes—
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
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—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C22×Dic3—22no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3—41no—
688C22×Dic3—41no—
689C22×Dic3—41no—
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C2×D12—22no—
705C2×D12—41no—
706C2×D12—41no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×Dic6—22no—
714C2×Dic6—22no—
715C2×Dic6—41no—
716C2×Dic6—41no—
717C2×Dic6—41no—
718C2×Dic6—41no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—22no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4C2×D414yes—
724C3×C4⋊C4C2×D414yes—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4C2×D414yes—
733C3×C22⋊C4C2×D414yes—
734C3×C22⋊C4C2×D414yes—
735C3×C42—22no—
736C3×C42—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—41no—
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(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781C4⋊Dic3—22no—
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—22no—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806C4×Dic3—22no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C25C22×D311yescharacteristic
811C2×#41—24no—
812C2×#41—42no—
813C2×#41—42no—
814C22×Q8—31no—
815C22×Q8—31no—
816C22×Q8C22×D311yescharacteristic
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C22×D4C22×D311yescharacteristic
832C22×D4C22×D311yescharacteristic
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C23×C4—24no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—42no—
841C23×C4—42no—
842C23×C4C22×D311yescharacteristic
843C23×C4C22×D311yescharacteristic
844C23×C4C22×D311yescharacteristic
845C23×C4C22×D311yescharacteristic
846C23×C4C22×D311yescharacteristic
847C23×C4C22×D311yescharacteristic
848C23×C4C22×D311yescharacteristic
849C23×C4C22×D311yescharacteristic
850#125—64no—
851#124—64no—
852#124—64no—
853#124—122no—
854#123—24no—
855#123—64no—
856#123—64no—
857#123—64no—
858#123—122no—
859#123—122no—
860#123#6718yescomplemented
861C22⋊Q8—24no—
862C22⋊Q8—24no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867C22⋊Q8—122no—
868C22⋊Q8—122no—
869C22⋊Q8—122no—
870#121—24no—
871#121—24no—
872#121—64no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—122no—
877#121—122no—
878#121—122no—
879#121—122no—
880#121—122no—
881#120—24no—
882#120—24no—
883#120—122no—
884#120—122no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—122no—
890#117—24no—
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—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
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—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C42—31no—
977C2×C42—31no—
978C2×C42—31no—
979C2×C42—31no—
980C2×C42C22×D311yescharacteristic
981C2×C42C22×D311yescharacteristic
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—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
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—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—44no—
1044C23×C3—44no—
1045C23×C3—44no—
1046C23×C3—44no—
1047C23×C3—44no—
1048C23×C3—44no—
1049C23×C3—44no—
1050C23×C3C22×D412yes—
1051C23×C3C22×D412yes—
1052C23×C3H(5,𝔽2)12yes—
1053C23×C32−1+412yes—
1054C23×C3C2511yescharacteristic
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C3×Q8—44no—
1070C3×D4—44no—
1071C3×D4—44no—
1072C3×D4—44no—
1073C3×D4—44no—
1074C3×D4—44no—
1075C3×D4—44no—
1076C3×D4—44no—
1077C2×C3×C4—28no—
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—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—44no—
1102C2×C3×C4—44no—
1103C2×C3×C4—44no—
1104C2×C3×C4—44no—
1105C2×C3×C4—44no—
1106C2×C3×C4—44no—
1107C2×C3×C4—44no—
1108C2×C3×C4C22×D412yes—
1109C2×C3×C4C22×D412yes—
1110C2×C3×C4C22×D412yes—
1111C2×C3×C4C22×D412yes—
1112C2×C3×C4C22×D412yes—
1113C2×C3×C4H(5,𝔽2)12yes—
1114C2×C3×C4H(5,𝔽2)12yes—
1115#67—44no—
1116#67—82no—
1117#67—82no—
1118#67—82no—
1119#67—82no—
1120#67—82no—
1121#67—82no—
1122#67—82no—
1123#67—82no—
1124#67—82no—
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—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—82no—
1168C2×Dic3—82no—
1169D12—82no—
1170C4×D3—82no—
1171C4×D3—82no—
1172Dic6—82no—
1173Dic6—82no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—31no—
1178C24—31no—
1179C24—41no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24C23×D311yescharacteristic
1184C24C23×D311yescharacteristic
1185C24C23×D311yescharacteristic
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188#41—416no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—41no—
1192C2×Q8—62no—
1193C2×Q8—62no—
1194C2×Q8—121no—
1195C2×Q8—121no—
1196C2×Q8—121no—
1197C2×Q8—121no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
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—41no—
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×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4C2×#6714yes—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—416no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4C2×#6714yes—
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4C2×#6714yes—
1343C4⋊C4C2×#6714yes—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
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—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
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⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4C2×#6714yes—
1396C22⋊C4C2×#6714yes—
1397C22⋊C4C2×#6714yes—
1398C42—22no—
1399C42—22no—
1400C42—62no—
1401C42—121no—
1402C42—121no—
1403C42—121no—
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—22no—
1416C22×C3—416no—
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—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3C23×D411yescharacteristic
1441C22×C3C2×H(5,𝔽2)11yescharacteristic
1442C22×C3C2×H(5,𝔽2)11yescharacteristic
1443C22×C3C2×H(5,𝔽2)11yescharacteristic
1444C22×C3C2×2−1+411yescharacteristic
1445C22×C3#58511yescharacteristic
1446C22×C3#58511yescharacteristic
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C3×C4—22no—
1462C3×C4—22no—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471Dic3—41no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
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—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23#100912yes—
1538C23#101012yes—
1539C23C22×#6712yes—
1540C23C22×#6712yes—
1541C23C24×D311yescharacteristic
1542Q8—44no—
1543Q8—242no—
1544Q8—242no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—44no—
1549D4—44no—
1550D4—44no—
1551D4—44no—
1552D4—124no—
1553D4—242no—
1554D4—242no—
1555D4—242no—
1556D4—242no—
1557D4—242no—
1558D4—242no—
1559D4—242no—
1560D4—242no—
1561D4—242no—
1562D4—242no—
1563C2×C4—28no—
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—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
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—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—242no—
1637C2×C4—242no—
1638C2×C4—242no—
1639C2×C4—242no—
1640C2×C4#100412yes—
1641C2×C4#100412yes—
1642C2×C4C22×#6712yes—
1643C2×C4C22×#6712yes—
1644C2×C4C22×#6712yes—
1645C2×C4C22×#6712yes—
1646C2×C4C22×#6712yes—
1647C2×C3—42no—
1648C2×C3—42no—
1649C2×C3—42no—
1650C2×C3—42no—
1651C2×C3—81no—
1652C2×C3#348411yescharacteristic
1653C2×C3#348811yescharacteristic
1654C2×C3#348911yescharacteristic
1655C2×C3#352911yescharacteristic
1656C2×C3#353611yescharacteristic
1657C2×C3#354111yescharacteristic
1658C2×C3#354211yescharacteristic
1659D3—81no—
1660D3—81no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—416no—
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—41no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22C2×#100411yescharacteristic
1712C22C2×#100411yescharacteristic
1713C22C2×#100911yescharacteristic
1714C22C2×#101011yescharacteristic
1715C22#596411yescharacteristic
1716C22#596411yescharacteristic
1717C22C23×#6711yescharacteristic
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C4—121no—
1733C4—121no—
1734C4—121no—
1735C4—121no—
1736C4—121no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C3#4545111yescharacteristic, complemented, Sylow
1743C2—42no—
1744C2—42no—
1745C2—42no—
1746C2—42no—
1747C2—81no—
1748C2—241no—
1749C2—241no—
1750C2#8604811yescharacteristic
1751C2#8605111yescharacteristic
1752C2#8605711yescharacteristic
1753C2#8605811yescharacteristic
1754C2#8723911yescharacteristic
1755C2#8726411yescharacteristic
1756C2#8727511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#525C2
hypercenterC2×#525D3
hypocenterC3#45451
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×C3×#525C2semidirect
2. C2×#5667C2semidirect
3. #84097C2semidirect
4. #84091C2semidirect
5. #84032C2semidirect
6. #84031C2semidirect
7. #82911C2semidirect
8. #82889C2semidirect
9. #82840C2semidirect
10. #82829C2semidirect
11. #82797C2semidirect
12. #82796C2semidirect
13. #82793C2semidirect
14. #82718C2semidirect
15. #82693C2semidirect
16. #82684C2semidirect
17. #82682C2semidirect
18. #82610C2semidirect
19. #82608C2semidirect
20. #82596C2semidirect
21. #82595C2semidirect
22. #82413C2semidirect
23. #82411C2semidirect
24. #82408C2semidirect
25. #82368C2semidirect
26. #82367C2semidirect
27. #82363C2semidirect
28. #82361C2semidirect
29. #82355C2semidirect
30. #82278C2semidirect
31. #82250C2semidirect
51. C2×#946C22semidirect
54. C2×#939C22semidirect
62. C2×#929C22semidirect
63. C2×C4×#67C22semidirect
68. C2×#897C22semidirect
69. C2×#896C22semidirect
70. C2×#894C22semidirect
71. C2×#890C22semidirect
72. C2×#886C22semidirect
74. C2×#885C22semidirect
75. C2×#884C22semidirect
77. C2×#878C22semidirect
80. #5231C22semidirect
81. #5230C22semidirect
82. #5229C22semidirect
91. #5223C22semidirect
96. #5222C22semidirect
103. #5220C22semidirect
110. #5213C22semidirect
111. #5213C22semidirect
118. #5212C22semidirect
125. #5210C22semidirect
126. #5210C22semidirect
127. C2×C3⋊#95C22semidirect
128. #4994C22semidirect
129. #4994C22semidirect
130. #4994C22semidirect
131. #4994C22semidirect
132. #4991C22semidirect
133. #4990C22semidirect
134. #4989C22semidirect
135. #4986C22semidirect
136. #4986C22semidirect
137. #4984C22semidirect
138. #4984C22semidirect
139. #4982C22semidirect
140. #4982C22semidirect
141. #4981C22semidirect
142. #4980C22semidirect
143. #4980C22semidirect
144. #4979C22semidirect
145. #4979C22semidirect
146. #4978C22semidirect
147. #4976C22semidirect
150. #4961C22semidirect
151. #4961C22semidirect
152. #4960C22semidirect
163. #4953C22semidirect
168. #4951C22semidirect
169. #4951C22semidirect
170. #4950C22semidirect
171. #4950C22semidirect
173. #4949C22semidirect
176. #4948C22semidirect
177. #4948C22semidirect
179. #4947C22semidirect
182. #4940C22semidirect
183. #4940C22semidirect
184. #4940C22semidirect
185. C4×(C2×D3)⋊C4C22semidirect
186. #4933C22semidirect
187. C4×Dic3⋊C4C22semidirect
188. #4929C22semidirect
189. #4928C22semidirect
191. C2×#525D3semidirect
262. C3×#123D4semidirect
860. #123#67semidirect
1742. C3#45451semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5252
C2×#56672
#840972
#840912
#840322
#840312
#829112
#828892
#828402
#828292
#827972
#827962
#827932
#827182
#826932
#826842
#826822
#826102
#826082
#825962
#825952
#824132
#824112
#824082
#823682
#823672
#823632
#823612
#823552
#822782
#822502
#454513