Finite Group Databasebeta

← #11042865

Subgroups — #11042865

Order 768.

2562 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5596C211yesmaximal, characteristic, complemented
3C3×#2714C211yesmaximal, characteristic, complemented
4#83096C211yesmaximal, characteristic, complemented
5#82719C211yesmaximal, characteristic, complemented
6#77545C211yesmaximal, characteristic, complemented
7#77517C211yesmaximal, characteristic, complemented
8#77152C211yesmaximal, characteristic, complemented
9#76974C211yesmaximal, characteristic, complemented
10#76962C211yesmaximal, characteristic, complemented
11#76925C211yesmaximal, characteristic, complemented
12#76765C211yesmaximal, characteristic, complemented
13#76757C211yesmaximal, characteristic, complemented
14#76756C211yesmaximal, characteristic, complemented
15#76754C211yesmaximal, characteristic, complemented
16#76695C211yesmaximal, characteristic, complemented
17#76690C211yesmaximal, characteristic, complemented
18#76452C211yesmaximal, characteristic, complemented
19#76447C211yesmaximal, characteristic, complemented
20#76445C211yesmaximal, characteristic, complemented
21#76435C211yesmaximal, characteristic, complemented
22#76429C211yesmaximal, characteristic, complemented
23#76331C211yesmaximal, characteristic, complemented
24#75829C211yesmaximal, characteristic, complemented
25#75531C211yesmaximal, characteristic, complemented
26#75390C211yesmaximal, characteristic, complemented
27#75306C211yesmaximal, characteristic, complemented
28#74910C211yesmaximal, characteristic, complemented
29#74870C211yesmaximal, characteristic, complemented
30#74638C211yesmaximal, characteristic, complemented
31#74377C211yesmaximal, characteristic, complemented
32#38372—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#237C2211yescharacteristic, complemented
35C2×C3×#126C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic, complemented
37C2×#940C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic, complemented
40C2×#938C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#936C2211yescharacteristic, complemented
47C2×D4×Dic3C2211yescharacteristic, complemented
48C2×#930C2211yescharacteristic
49C22×C4×Dic3C2211yescharacteristic, complemented
50#5705—28no—
51#5596—28no—
52C2×#897C2211yescharacteristic
53C2×#897C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#892C2211yescharacteristic
59C2×#888C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#879C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C2×#869C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic
77C3×#394C2211yescharacteristic, complemented
78C3×#392C2211yescharacteristic
79C3×#392C2211yescharacteristic
80C3×#392C2211yescharacteristic
81C3×#390C2211yescharacteristic
82C3×#390C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#385C2211yescharacteristic, complemented
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5221C2211yescharacteristic
94#5221C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5213C2211yescharacteristic
100#5210C2211yescharacteristic, complemented
101#4990C2211yescharacteristic
102#4990C2211yescharacteristic
103#4989C2211yescharacteristic
104#4987C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4986C2211yescharacteristic, complemented
107#4983C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111Dic3×C4⋊C4C2211yescharacteristic, complemented
112#4973C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic, complemented
125#4958C2211yescharacteristic
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4957C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4953C2211yescharacteristic
140#4951C2211yescharacteristic
141#4951C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4950C2211yescharacteristic, complemented
145#4950C2211yescharacteristic, complemented
146#4950C2211yescharacteristic, complemented
147#4950C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4948C2211yescharacteristic
150#4948C2211yescharacteristic, complemented
151#4947C2211yescharacteristic
152#4947C2211yescharacteristic
153#4947C2211yescharacteristic, complemented
154#4946C2211yescharacteristic, complemented
155#4945C2211yescharacteristic
156#4945C2211yescharacteristic
157#4944C2211yescharacteristic
158#4944C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161#4940C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164#4933C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4677C2211yescharacteristic
167#4675C2211yescharacteristic, complemented
168#4674C2211yescharacteristic
169#4674C2211yescharacteristic
170#4673C2211yescharacteristic
171#4670C2211yescharacteristic
172#4670C2211yescharacteristic
173#4668C2211yescharacteristic
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4664C2211yescharacteristic
180D3×#95C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4651C2211yescharacteristic, complemented
189#4648C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#532—31no—
192#2852—31no—
193#2716—31no—
194#2714D311yescharacteristic, complemented
195#2709—31no—
196#2708—31no—
197#2677—31no—
198#2676—31no—
199#2669—31no—
200#2668—31no—
201#2638—31no—
202#2630—31no—
203#2603—31no—
204#2598—31no—
205#2557—31no—
206#2555—31no—
207#2491—31no—
208#2476—31no—
209#2474—31no—
210#2472—31no—
211#2464—31no—
212#2432—31no—
213#2430—31no—
214#2424—31no—
215#2407—31no—
216#2404—31no—
217#2353—31no—
218#2325—31no—
219#2321—31no—
220#2290—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#237—24no—
244C2×#237—24no—
245C2×#237—42no—
246C2×#237—42no—
247C2×#237—42no—
248C2×#237—42no—
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C3×#126—24no—
262C3×#121—24no—
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#940—24no—
303#939—24no—
304#939—24no—
305#938—42no—
306#938—42no—
307#938—42no—
308#937—24no—
309#937—42no—
310#937—42no—
311#936—42no—
312D4×Dic3—24no—
313#930—24no—
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3—24no—
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#897—24no—
364#897—42no—
365#896—24no—
366#894—24no—
367#894—24no—
368#893D418yescomplemented
369#892—24no—
370#888—24no—
371#885—24no—
372#885—24no—
373#885—24no—
374#884—24no—
375#883—24no—
376#882—24no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380D3×C22⋊C4—24no—
381D3×C22⋊C4—24no—
382#879—24no—
383C4×D12—24no—
384#872—24no—
385#869—42no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C22×#41—31no—
422#551—68no—
423#532—68no—
424C2×C4⋊Q8—31no—
425C2×C4⋊Q8—31no—
426C2×#127—31no—
427C2×#126—31no—
428C2×#126C2×D311yescharacteristic
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121C2×D311yescharacteristic, complemented
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×#117—31no—
458C2×#117—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C42—31no—
462#400—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397C2×D311yescharacteristic, complemented
472#396—31no—
473#396—31no—
474#395—31no—
475#395—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394C2×D311yescharacteristic
489#394C2×D311yescharacteristic, complemented
490#393—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#392—31no—
499#392C2×D311yescharacteristic
500#392C2×D311yescharacteristic
501#392C2×D311yescharacteristic
502#391—31no—
503#391—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390C2×D311yescharacteristic
508#390C2×D311yescharacteristic, complemented
509#390C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic, complemented
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387C2×D311yescharacteristic, complemented
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#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386C2×D311yescharacteristic
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385C2×D311yescharacteristic, complemented
564#383—31no—
565#381—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575#376—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C24×C3C2411yescharacteristic
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
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—
609C22×C3×C4—22no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
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—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678#237—416no—
679#237—416no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12C2×D414yes—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3C2×D414yes—
706C2×C4×D3C2×D414yes—
707C2×Dic6—22no—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—41no—
713C2×Dic6—41no—
714C2×Dic6—41no—
715C2×Dic6—41no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4C2×D414yes—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C42—22no—
737C3×C42—41no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
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(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4C2×D414yes—
775(C2×D3)⋊C4C2×D414yes—
776(C2×D3)⋊C4#4114yescomplemented
777C4⋊Dic3—22no—
778C4⋊Dic3—22no—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—22no—
782C4⋊Dic3—41no—
783C4⋊Dic3—41no—
784C4⋊Dic3—41no—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—41no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—41no—
801C4×Dic3—41no—
802C4×Dic3C2×D414yes—
803C25—31no—
804C2×#41—64no—
805C2×#41—64no—
806C2×#41—122no—
807C2×#41—122no—
808C2×#41—122no—
809C2×#41—122no—
810C22×Q8—31no—
811C22×Q8—31no—
812C22×Q8—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
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×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C22×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4C22×D311yescharacteristic
843C4⋊Q8—64no—
844C4⋊Q8—122no—
845#127—64no—
846#126—24no—
847#126—64no—
848#124—64no—
849#124—64no—
850#124—64no—
851#124—122no—
852#123—64no—
853#123—64no—
854#123—64no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—122no—
858#121—24no—
859#121—64no—
860#121—64no—
861#121—64no—
862#121—64no—
863#121—122no—
864#121—122no—
865#121—122no—
866#120—64no—
867#120—64no—
868#120—122no—
869#120—122no—
870C4×D4—38no—
871C4×D4—64no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876#117—64no—
877#117—64no—
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⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
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—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—64no—
941C2×C22⋊C4—64no—
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×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×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—64no—
966C2×C42C22×D311yescharacteristic
967C2×C42C22×D311yescharacteristic
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—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
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×C3H(5,𝔽2)12yes—
1030C23×C3C2511yescharacteristic
1031C22×D3—21no—
1032C22×D3—21no—
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—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—44no—
1050C22×D3—44no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3—82no—
1056C22×D3C22×D412yes—
1057C22×D3C22×D412yes—
1058C22×D3C2×#4112yes—
1059C3×D4—44no—
1060C3×D4—44no—
1061C3×D4—44no—
1062C3×D4—82no—
1063C3×D4—82no—
1064C3×D4—82no—
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—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—44no—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C22×D412yes—
1098C2×C3×C4C2×#4112yes—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—44no—
1103#67—44no—
1104#67—44no—
1105#67—44no—
1106#67—82no—
1107#67—82no—
1108#67—82no—
1109C2×Dic3—28no—
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—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—44no—
1146C2×Dic3—44no—
1147C2×Dic3—44no—
1148C2×Dic3C22×D412yes—
1149C2×Dic3C22×D412yes—
1150C2×Dic3C2×#4112yes—
1151C2×Dic3H(5,𝔽2)12yes—
1152D12—44no—
1153D12—44no—
1154C4×D3—44no—
1155C4×D3—44no—
1156C4×D3—44no—
1157C4×D3—44no—
1158C4×D3—82no—
1159C4×D3—82no—
1160C4×D3—82no—
1161Dic6—44no—
1162Dic6—44no—
1163Dic6—82no—
1164C24—31no—
1165C24—31no—
1166C24—31no—
1167C24—62no—
1168C24—62no—
1169C24—121no—
1170C24—121no—
1171C24—121no—
1172C24—121no—
1173C24—121no—
1174C24C23×D311yescharacteristic
1175C24C23×D311yescharacteristic
1176C24C23×D311yescharacteristic
1177C24C23×D311yescharacteristic
1178#41—1216no—
1179#41—1216no—
1180C2×Q8—62no—
1181C2×Q8—62no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×Q8—121no—
1188C2×Q8—121no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—34no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
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—
1243C22×C4—22no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—34no—
1249C22×C4—34no—
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—41no—
1260C22×C4—41no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
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
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
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—62no—
1318C4⋊C4—62no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C4⋊C4D3×D414yes—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—34no—
1334C22⋊C4—34no—
1335C22⋊C4—34no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
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—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
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—
1380C42—22no—
1381C42—34no—
1382C42—41no—
1383C42—62no—
1384C42—62no—
1385C42—62no—
1386C42—62no—
1387C42—62no—
1388C42—121no—
1389C42—121no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
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—41no—
1406C22×C3—41no—
1407C22×C3—41no—
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×C3C23×D411yescharacteristic
1419C22×C3C22×#4111yescharacteristic
1420C22×C3C2×H(5,𝔽2)11yescharacteristic
1421C22×C3C2×H(5,𝔽2)11yescharacteristic
1422C22×C3#58511yescharacteristic
1423C22×C3#58511yescharacteristic
1424C22×C3#58511yescharacteristic
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—88no—
1447C3×C4—22no—
1448C3×C4—22no—
1449C3×C4—22no—
1450C3×C4—22no—
1451C3×C4—41no—
1452C3×C4—41no—
1453C3×C4—41no—
1454C3×C4—41no—
1455C3×C4—41no—
1456C3×C4—41no—
1457C3×C4—41no—
1458Dic3—22no—
1459Dic3—22no—
1460Dic3—22no—
1461Dic3—22no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
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—32no—
1499C23—32no—
1500C23—32no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—124no—
1520C23—124no—
1521C23—242no—
1522C23—242no—
1523C23—242no—
1524C23—242no—
1525C23—242no—
1526C23#100912yes—
1527C23C24×D311yescharacteristic
1528Q8—124no—
1529Q8—124no—
1530Q8—242no—
1531D4—44no—
1532D4—44no—
1533D4—44no—
1534D4—82no—
1535D4—82no—
1536D4—82no—
1537D4—124no—
1538D4—124no—
1539D4—124no—
1540D4—124no—
1541D4—124no—
1542D4—124no—
1543D4—124no—
1544D4—124no—
1545D4—124no—
1546D4—242no—
1547D4—242no—
1548D4—242no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
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—21no—
1578C2×C4—32no—
1579C2×C4—32no—
1580C2×C4—32no—
1581C2×C4—32no—
1582C2×C4—44no—
1583C2×C4—68no—
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—124no—
1620C2×C4—124no—
1621C2×C4—124no—
1622C2×C4—124no—
1623C2×C4—124no—
1624C2×C4—124no—
1625C2×C4—124no—
1626C2×C4—242no—
1627C2×C4—242no—
1628C2×C4—242no—
1629C2×C4C2×D3×D412yes—
1630C2×C4C2×D3×D412yes—
1631C2×C4C2×D3×D412yes—
1632C2×C4D3×#4112yes—
1633C2×C3—42no—
1634C2×C3—81no—
1635C2×C3—81no—
1636C2×C3—81no—
1637C2×C3#344911yescharacteristic
1638C2×C3D4×#4111yescharacteristic
1639C2×C3#348411yescharacteristic
1640C2×C3#349411yescharacteristic
1641C2×C3#351411yescharacteristic
1642C2×C3#356011yescharacteristic
1643C2×C3#356211yescharacteristic
1644D3—42no—
1645D3—42no—
1646D3—42no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—62no—
1676C22—62no—
1677C22—62no—
1678C22—62no—
1679C22—62no—
1680C22—62no—
1681C22—62no—
1682C22—62no—
1683C22—62no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—121no—
1689C22—121no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—248no—
1697C22C22×D3×D411yescharacteristic
1698C22C2×D3×#4111yescharacteristic
1699C22C2×#100911yescharacteristic
1700C22D3×H(5,𝔽2)11yescharacteristic
1701C22#596611yescharacteristic
1702C22#596611yescharacteristic
1703C22#596611yescharacteristic
1704C4—22no—
1705C4—22no—
1706C4—22no—
1707C4—22no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—62no—
1716C4—62no—
1717C4—62no—
1718C4—62no—
1719C4—121no—
1720C4—121no—
1721C4—121no—
1722C4—121no—
1723C4—121no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C3#3837211yescharacteristic, complemented, Sylow
1729C2—42no—
1730C2—81no—
1731C2—81no—
1732C2—81no—
1733C2—122no—
1734C2—122no—
1735C2—122no—
1736C2#8631311yescharacteristic
1737C2#8639211yescharacteristic
1738C2#8640411yescharacteristic
1739C2#8666211yescharacteristic
1740C2#8676611yescharacteristic
1741C2#8687711yescharacteristic
1742C2#8707711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2714C2
hypercenter#2714D3
hypocenterC3#38372
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5596C2semidirect
3. C3×#2714C2semidirect
4. #83096C2semidirect
5. #82719C2semidirect
6. #77545C2semidirect
7. #77517C2semidirect
8. #77152C2semidirect
9. #76974C2semidirect
10. #76962C2semidirect
11. #76925C2semidirect
12. #76765C2semidirect
13. #76757C2semidirect
14. #76756C2semidirect
15. #76754C2semidirect
16. #76695C2semidirect
17. #76690C2semidirect
18. #76452C2semidirect
19. #76447C2semidirect
20. #76445C2semidirect
21. #76435C2semidirect
22. #76429C2semidirect
23. #76331C2semidirect
24. #75829C2semidirect
25. #75531C2semidirect
26. #75390C2semidirect
27. #75306C2semidirect
28. #74910C2semidirect
29. #74870C2semidirect
30. #74638C2semidirect
31. #74377C2semidirect
34. C22×#237C22semidirect
36. C2×C3×#121C22semidirect
39. C2×#939C22semidirect
46. C2×#936C22semidirect
47. C2×D4×Dic3C22semidirect
49. C22×C4×Dic3C22semidirect
59. C2×#888C22semidirect
62. C2×#885C22semidirect
68. C2×#67⋊C4C22semidirect
74. C2×#869C22semidirect
75. C3×#397C22semidirect
77. C3×#394C22semidirect
82. C3×#390C22semidirect
83. C3×#390C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
87. C3×#385C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
100. #5210C22semidirect
104. #4987C22semidirect
105. #4987C22semidirect
106. #4986C22semidirect
107. #4983C22semidirect
108. #4981C22semidirect
109. #4980C22semidirect
110. #4978C22semidirect
111. Dic3×C4⋊C4C22semidirect
112. #4973C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
124. #4959C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
141. #4951C22semidirect
142. #4951C22semidirect
143. #4950C22semidirect
144. #4950C22semidirect
145. #4950C22semidirect
146. #4950C22semidirect
147. #4950C22semidirect
148. #4950C22semidirect
150. #4948C22semidirect
153. #4947C22semidirect
154. #4946C22semidirect
158. #4944C22semidirect
159. #4944C22semidirect
160. Dic3×C22⋊C4C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. #4933C22semidirect
165. #4929C22semidirect
167. #4675C22semidirect
175. #4666C22semidirect
180. D3×#95C22semidirect
181. #4661C22semidirect
182. #4656C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
188. #4651C22semidirect
189. #4648C22semidirect
194. #2714D3semidirect
368. #893D4semidirect
446. C2×#121C2×D3semidirect
471. #397C2×D3semidirect
489. #394C2×D3semidirect
508. #390C2×D3semidirect
509. #390C2×D3semidirect
523. #388C2×D3semidirect
531. #387C2×D3semidirect
563. #385C2×D3semidirect
776. (C2×D3)⋊C4#41semidirect
1728. C3#38372semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#55962
C3×#27142
#830962
#827192
#775452
#775172
#771522
#769742
#769622
#769252
#767652
#767572
#767562
#767542
#766952
#766902
#764522
#764472
#764452
#764352
#764292
#763312
#758292
#755312
#753902
#753062
#749102
#748702
#746382
#743772
#383723