Finite Group Databasebeta

← #11259005

Subgroups — #11259005

Order 768.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5644C211yesmaximal, characteristic, complemented
2C2×#5510C211yesmaximal, characteristic, complemented
3C3×#2449C211yesmaximal, characteristic, complemented
4#82827C211yesmaximal, characteristic, complemented
5#82797C211yesmaximal, characteristic, complemented
6#82756C211yesmaximal, characteristic, complemented
7#82415C211yesmaximal, characteristic, complemented
8#82407C211yesmaximal, characteristic, complemented
9#82175C211yesmaximal, characteristic, complemented
10#78112C211yesmaximal, characteristic, complemented
11#78108C211yesmaximal, characteristic, complemented
12#78006C211yesmaximal, characteristic, complemented
13#77982C211yesmaximal, characteristic, complemented
14#77419C211yesmaximal, characteristic, complemented
15#77416C211yesmaximal, characteristic, complemented
16#77267C211yesmaximal, characteristic, complemented
17#77264C211yesmaximal, characteristic, complemented
18#76264C211yesmaximal, characteristic, complemented
19#76211C211yesmaximal, characteristic, complemented
20#75298C211yesmaximal, characteristic, complemented
21#75174C211yesmaximal, characteristic, complemented
22#74911C211yesmaximal, characteristic, complemented
23#74886C211yesmaximal, characteristic, complemented
24#74719C211yesmaximal, characteristic, complemented
25#74688C211yesmaximal, characteristic, complemented
26#74634C211yesmaximal, characteristic, complemented
27#74628C211yesmaximal, characteristic, complemented
28#74606C211yesmaximal, characteristic, complemented
29#74600C211yesmaximal, characteristic, complemented
30#74515C211yesmaximal, characteristic, complemented
31#74413C211yesmaximal, characteristic, complemented
32#46366—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C4⋊C4C2211yescharacteristic, complemented
39C2×#947C2211yescharacteristic
40C2×#947C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic, complemented
47C2×#930C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49#5644—28no—
50C2×#898C2211yescharacteristic
51C2×#898C2211yescharacteristic
52#5510—28no—
53C2×#897C2211yescharacteristic
54C2×#897C2211yescharacteristic, complemented
55C2×#897C2211yescharacteristic, complemented
56C2×#897C2211yescharacteristic, complemented
57C2×#895C2211yescharacteristic
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic
60C2×#895C2211yescharacteristic
61C2×#895C2211yescharacteristic
62C2×#895C2211yescharacteristic
63C2×#895C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×#893C2211yescharacteristic
67C2×D3×C4⋊C4C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic
69C2×#883C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×#878C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic, complemented
78C3×#399C2211yescharacteristic
79C3×#398C2211yescharacteristic, complemented
80C3×#396C2211yescharacteristic
81C3×#395C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#387C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#385C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89#5231C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5212C2211yescharacteristic
98#5212C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100C4×#217C2211yescharacteristic, complemented
101#4994C2211yescharacteristic
102#4994C2211yescharacteristic
103#4994C2211yescharacteristic
104#4994C2211yescharacteristic, complemented
105#4992C2211yescharacteristic
106#4992C2211yescharacteristic
107#4992C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4992C2211yescharacteristic, complemented
110#4991C2211yescharacteristic
111#4991C2211yescharacteristic
112#4991C2211yescharacteristic
113#4991C2211yescharacteristic
114#4991C2211yescharacteristic, complemented
115#4990C2211yescharacteristic
116#4989C2211yescharacteristic
117#4989C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4987C2211yescharacteristic
120#4987C2211yescharacteristic, complemented
121#4987C2211yescharacteristic, complemented
122#4986C2211yescharacteristic, complemented
123#4985C2211yescharacteristic, complemented
124#4984C2211yescharacteristic, complemented
125#4981C2211yescharacteristic, complemented
126#4980C2211yescharacteristic, complemented
127#4980C2211yescharacteristic, complemented
128#4980C2211yescharacteristic, complemented
129#4979C2211yescharacteristic, complemented
130#4979C2211yescharacteristic, complemented
131#4978C2211yescharacteristic, complemented
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic, complemented
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic, complemented
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4955C2211yescharacteristic
151#4950C2211yescharacteristic
152#4950C2211yescharacteristic
153#4949C2211yescharacteristic
154#4947C2211yescharacteristic
155#4940C2211yescharacteristic
156#4939C2211yescharacteristic
157#4936C2211yescharacteristic, complemented
158#4677C2211yescharacteristic
159#4675C2211yescharacteristic
160#4674C2211yescharacteristic
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic
163#4673C2211yescharacteristic
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic
184#4664C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4656C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#537—31no—
192#2814—31no—
193#2723—31no—
194#2708—31no—
195#2700—31no—
196#2698—31no—
197#2692—31no—
198#2691—31no—
199#2688—31no—
200#2686—31no—
201#2676—31no—
202#2671—31no—
203#2668—31no—
204#2668—31no—
205#2564—31no—
206#2535—31no—
207#2481—31no—
208#2464—31no—
209#2449—31no—
210#2449D311yescharacteristic, complemented
211#2437—31no—
212#2430—31no—
213#2427—31no—
214#2424—31no—
215#2424—31no—
216#2416—31no—
217#2407—31no—
218#2406—31no—
219#2404—31no—
220#2325—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C2×#235—24no—
238C2×#235—24no—
239C2×#235—42no—
240C2×#235—42no—
241C2×#235—42no—
242C2×#235—42no—
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×C22⋊Q8—24no—
264C3×C22⋊Q8—42no—
265C3×C4×D4—42no—
266C2×C3×C4⋊C4—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×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#947—24no—
295#947—24no—
296#939—42no—
297#937—42no—
298#930—24no—
299#930—24no—
300#930—24no—
301#930—24no—
302#930—24no—
303C2×(C2×D3)⋊C4—24no—
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(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×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#898—24no—
363#898—24no—
364#897—24no—
365#897—24no—
366#897—24no—
367#897—24no—
368#895—24no—
369#895—24no—
370#895—24no—
371#895—24no—
372#895—42no—
373#895—42no—
374#895D418yescomplemented
375#894—24no—
376#894—24no—
377#893—42no—
378D3×C4⋊C4—42no—
379#884—42no—
380#883—42no—
381#882—24no—
382#882—24no—
383#882—42no—
384#67⋊C4—24no—
385#67⋊C4—24no—
386D3×C22⋊C4—42no—
387#878—42no—
388C4×D12—42no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425#538—68no—
426#537—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8C2×D311yescharacteristic
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
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×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4C2×D311yescharacteristic
464C22×C4⋊C4—31no—
465C22×C4⋊C4C2×D311yescharacteristic, complemented
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#399C2×D311yescharacteristic
473#398—31no—
474#398—31no—
475#398—31no—
476#398C2×D311yescharacteristic, complemented
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396C2×D311yescharacteristic
490#395—31no—
491#395—31no—
492#395—31no—
493#395C2×D311yescharacteristic, complemented
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#394—31no—
504#394—31no—
505#394—31no—
506#393—31no—
507#393—31no—
508#393—31no—
509#393—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#389—31no—
522#389C2×D311yescharacteristic, complemented
523#388—31no—
524#388—31no—
525#388—31no—
526#388—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#386—31no—
553#386C2×D311yescharacteristic
554#386C2×D311yescharacteristic
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#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic
566#385C2×D311yescharacteristic, complemented
567#385C2×D311yescharacteristic, complemented
568#382—31no—
569#381—31no—
570#381—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#379—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×Q8—22no—
595C2×C3×Q8—41no—
596C2×C3×Q8—41no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
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
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
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—41no—
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—
649C22×Dic3—22no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663#235—416no—
664#235—416no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12C2×D414yes—
690C2×D12C2×D414yes—
691C2×D12C2×D414yes—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3C2×D414yes—
719C2×Dic6—22no—
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—41no—
723C2×Dic6—41no—
724C2×Dic6—41no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—41no—
734C3×C4⋊C4—41no—
735C3×C4⋊C4—41no—
736C3×C4⋊C4C2×D414yes—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C42—22no—
746#217—22no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
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—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
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—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4C2×D414yes—
789(C2×D3)⋊C4C2×D414yes—
790C4⋊Dic3—22no—
791C4⋊Dic3—22no—
792C4⋊Dic3—22no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—41no—
796C4⋊Dic3—41no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C25—31no—
811C2×#41—64no—
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C2×#41—122no—
816C2×#41—122no—
817C22×Q8—31no—
818C22×Q8—31no—
819C22×Q8C22×D311yescharacteristic
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×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4C22×D311yescharacteristic
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4C22×D311yescharacteristic
849C23×C4C22×D311yescharacteristic
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852#126—64no—
853#126—64no—
854#124—64no—
855#124—64no—
856#123—64no—
857#123—64no—
858#123—122no—
859C22⋊Q8—24no—
860C22⋊Q8—42no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865C22⋊Q8—122no—
866#121—38no—
867#121—64no—
868#121—64no—
869#121—64no—
870#121—64no—
871#121—64no—
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#120—64no—
881#120—64no—
882#120—122no—
883#120—122no—
884C4×D4—42no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—122no—
888C4×D4—122no—
889C2×C4⋊C4—24no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—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—122no—
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—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—64no—
965C2×C22⋊C4—122no—
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×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42C22×D311yescharacteristic
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
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×C3H(5,𝔽2)12yes—
1025C23×C32−1+412yes—
1026C23×C3C2511yescharacteristic
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
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—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—82no—
1062C22×D3—82no—
1063C22×D3—82no—
1064C22×D3—82no—
1065C22×D3—82no—
1066C22×D3C22×D412yes—
1067C22×D3C22×D412yes—
1068C22×D3C22×D412yes—
1069C3×Q8—82no—
1070C3×D4—44no—
1071C2×C3×C4—28no—
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—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—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—82no—
1107C2×C3×C4—82no—
1108C2×C3×C4—82no—
1109C2×C3×C4C22×D412yes—
1110C2×C3×C4C22×D412yes—
1111C2×C3×C4C22×D412yes—
1112C2×C3×C4H(5,𝔽2)12yes—
1113C2×C3×C4H(5,𝔽2)12yes—
1114#67—44no—
1115#67—44no—
1116#67—44no—
1117#67—44no—
1118#67—44no—
1119#67—44no—
1120#67—82no—
1121#67—82no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—82no—
1155C2×Dic3C22×D412yes—
1156D12—44no—
1157D12—44no—
1158D12—44no—
1159D12—44no—
1160D12—82no—
1161D12—82no—
1162D12—82no—
1163D12—82no—
1164D12—82no—
1165C4×D3—44no—
1166C4×D3—44no—
1167C4×D3—44no—
1168C4×D3—44no—
1169C4×D3—44no—
1170C4×D3—82no—
1171C4×D3—82no—
1172C4×D3—82no—
1173C4×D3—82no—
1174Dic6—44no—
1175Dic6—44no—
1176C24—31no—
1177C24—31no—
1178C24—31no—
1179C24—31no—
1180C24—31no—
1181C24—62no—
1182C24—62no—
1183C24—121no—
1184C24—121no—
1185C24—121no—
1186C24—121no—
1187C24—121no—
1188C24C23×D311yescharacteristic
1189C24C23×D311yescharacteristic
1190#41—1216no—
1191#41—1216no—
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—62no—
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—121no—
1199C2×Q8—121no—
1200C2×Q8—121no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—34no—
1204C2×D4—34no—
1205C2×D4—34no—
1206C2×D4—41no—
1207C2×D4—62no—
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—62no—
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×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—31no—
1262C22×C4—34no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
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×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4D3×D414yes—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—34no—
1357C22⋊C4—34no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
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—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
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⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C42—22no—
1403C42—62no—
1404C42—62no—
1405C42—121no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3C23×D411yescharacteristic
1421C22×C3C2×H(5,𝔽2)11yescharacteristic
1422C22×C3C2×H(5,𝔽2)11yescharacteristic
1423C22×C3C2×H(5,𝔽2)11yescharacteristic
1424C22×C3C2×2−1+411yescharacteristic
1425C22×C3#58511yescharacteristic
1426C22×C3#58511yescharacteristic
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—22no—
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—41no—
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—
1461C2×D3—41no—
1462C2×D3—88no—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476Dic3—22no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
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—32no—
1500C23—32no—
1501C23—32no—
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—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—124no—
1535C23—124no—
1536C23—242no—
1537C23—242no—
1538C23—242no—
1539C23—242no—
1540C23—242no—
1541C23#100712yes—
1542C23#100912yes—
1543C23C24×D311yescharacteristic
1544Q8—82no—
1545Q8—124no—
1546Q8—124no—
1547D4—44no—
1548D4—124no—
1549D4—124no—
1550D4—124no—
1551D4—124no—
1552D4—124no—
1553D4—124no—
1554D4—124no—
1555D4—124no—
1556D4—124no—
1557D4—124no—
1558D4—242no—
1559D4—242no—
1560D4—242no—
1561D4—242no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565C2×C4—28no—
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—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—32no—
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—82no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—124no—
1637C2×C4—124no—
1638C2×C4—124no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—242no—
1642C2×C4—242no—
1643C2×C4—242no—
1644C2×C4—242no—
1645C2×C4—242no—
1646C2×C4C2×D3×D412yes—
1647C2×C4C2×D3×D412yes—
1648C2×C4C2×D3×D412yes—
1649C2×C4#100412yes—
1650C2×C4#100912yes—
1651C2×C3—42no—
1652C2×C3—42no—
1653C2×C3#348411yescharacteristic
1654C2×C3#348911yescharacteristic
1655C2×C3#349611yescharacteristic
1656C2×C3#353611yescharacteristic
1657C2×C3#354111yescharacteristic
1658C2×C3#354211yescharacteristic
1659C2×C3#356011yescharacteristic
1660D3—42no—
1661D3—42no—
1662D3—42no—
1663D3—81no—
1664D3—81no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—62no—
1680C22—62no—
1681C22—62no—
1682C22—62no—
1683C22—62no—
1684C22—62no—
1685C22—62no—
1686C22—62no—
1687C22—62no—
1688C22—121no—
1689C22—121no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
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—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—248no—
1715C22C22×D3×D411yescharacteristic
1716C22C2×#100411yescharacteristic
1717C22C2×#100711yescharacteristic
1718C22C2×#100911yescharacteristic
1719C22C2×#100911yescharacteristic
1720C22#596611yescharacteristic
1721C22#596811yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—62no—
1736C4—121no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C3#4636611yescharacteristic, complemented, Sylow
1747C2—42no—
1748C2—42no—
1749C2—122no—
1750C2—122no—
1751C2—122no—
1752C2—241no—
1753C2—241no—
1754C2#8599011yescharacteristic
1755C2#8603911yescharacteristic
1756C2#8644311yescharacteristic
1757C2#8662111yescharacteristic
1758C2#8669111yescharacteristic
1759C2#8674511yescharacteristic
1760C2#8693711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
hypercenter#2449D3
hypocenterC3#46366
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5644C2semidirect
2. C2×#5510C2semidirect
3. C3×#2449C2semidirect
4. #82827C2semidirect
5. #82797C2semidirect
6. #82756C2semidirect
7. #82415C2semidirect
8. #82407C2semidirect
9. #82175C2semidirect
10. #78112C2semidirect
11. #78108C2semidirect
12. #78006C2semidirect
13. #77982C2semidirect
14. #77419C2semidirect
15. #77416C2semidirect
16. #77267C2semidirect
17. #77264C2semidirect
18. #76264C2semidirect
19. #76211C2semidirect
20. #75298C2semidirect
21. #75174C2semidirect
22. #74911C2semidirect
23. #74886C2semidirect
24. #74719C2semidirect
25. #74688C2semidirect
26. #74634C2semidirect
27. #74628C2semidirect
28. #74606C2semidirect
29. #74600C2semidirect
30. #74515C2semidirect
31. #74413C2semidirect
34. C22×#235C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
38. C22×C3×C4⋊C4C22semidirect
46. C2×#930C22semidirect
47. C2×#930C22semidirect
54. C2×#897C22semidirect
55. C2×#897C22semidirect
56. C2×#897C22semidirect
63. C2×#895C22semidirect
67. C2×D3×C4⋊C4C22semidirect
69. C2×#883C22semidirect
77. C2×C4×D12C22semidirect
79. C3×#398C22semidirect
81. C3×#395C22semidirect
82. C3×#389C22semidirect
83. C3×#387C22semidirect
87. C3×#385C22semidirect
88. C3×#385C22semidirect
89. #5231C22semidirect
90. #5229C22semidirect
98. #5212C22semidirect
99. #5210C22semidirect
100. C4×#217C22semidirect
104. #4994C22semidirect
107. #4992C22semidirect
108. #4992C22semidirect
109. #4992C22semidirect
114. #4991C22semidirect
117. #4989C22semidirect
118. #4989C22semidirect
120. #4987C22semidirect
121. #4987C22semidirect
122. #4986C22semidirect
123. #4985C22semidirect
124. #4984C22semidirect
125. #4981C22semidirect
126. #4980C22semidirect
127. #4980C22semidirect
128. #4980C22semidirect
129. #4979C22semidirect
130. #4979C22semidirect
131. #4978C22semidirect
133. #4961C22semidirect
139. #4959C22semidirect
141. #4957C22semidirect
148. #4956C22semidirect
149. #4956C22semidirect
157. #4936C22semidirect
161. #4674C22semidirect
166. #4672C22semidirect
167. #4670C22semidirect
168. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4667C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
184. #4664C22semidirect
185. D3×#95C22semidirect
186. #4657C22semidirect
187. #4657C22semidirect
188. #4656C22semidirect
189. #4646C22semidirect
210. #2449D3semidirect
374. #895D4semidirect
440. C2×C22⋊Q8C2×D3semidirect
465. C22×C4⋊C4C2×D3semidirect
476. #398C2×D3semidirect
493. #395C2×D3semidirect
522. #389C2×D3semidirect
531. #387C2×D3semidirect
566. #385C2×D3semidirect
567. #385C2×D3semidirect
1746. C3#46366semidirect

Maximal subgroups

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

subgroupindex
C2×#56442
C2×#55102
C3×#24492
#828272
#827972
#827562
#824152
#824072
#821752
#781122
#781082
#780062
#779822
#774192
#774162
#772672
#772642
#762642
#762112
#752982
#751742
#749112
#748862
#747192
#746882
#746342
#746282
#746062
#746002
#745152
#744132
#463663