Finite Group Databasebeta

← #11183161

Subgroups — #11183161

Order 768.

2606 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5695C211yesmaximal, characteristic, complemented
2C2×#5654C211yesmaximal, characteristic, complemented
3C3×#2694C211yesmaximal, characteristic, complemented
4#83068C211yesmaximal, characteristic, complemented
5#82897C211yesmaximal, characteristic, complemented
6#78112C211yesmaximal, characteristic, complemented
7#78112C211yesmaximal, characteristic, complemented
8#78034C211yesmaximal, characteristic, complemented
9#78017C211yesmaximal, characteristic, complemented
10#77982C211yesmaximal, characteristic, complemented
11#77754C211yesmaximal, characteristic, complemented
12#77694C211yesmaximal, characteristic, complemented
13#77676C211yesmaximal, characteristic, complemented
14#77437C211yesmaximal, characteristic, complemented
15#77295C211yesmaximal, characteristic, complemented
16#77106C211yesmaximal, characteristic, complemented
17#76917C211yesmaximal, characteristic, complemented
18#76436C211yesmaximal, characteristic, complemented
19#76359C211yesmaximal, characteristic, complemented
20#76271C211yesmaximal, characteristic, complemented
21#76206C211yesmaximal, characteristic, complemented
22#75896C211yesmaximal, characteristic, complemented
23#75848C211yesmaximal, characteristic, complemented
24#75844C211yesmaximal, characteristic, complemented
25#75827C211yesmaximal, characteristic, complemented
26#75321C211yesmaximal, characteristic, complemented
27#74952C211yesmaximal, characteristic, complemented
28#74600C211yesmaximal, characteristic, complemented
29#74596C211yesmaximal, characteristic, complemented
30#74015C211yesmaximal, characteristic, complemented
31#73909C211yesmaximal, characteristic, complemented
32#43546—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×C4×#67C2211yescharacteristic, complemented
40C22×(C2×D3)⋊C4C2211yescharacteristic
41#5695—28no—
42#5654—28no—
43C2×#898C2211yescharacteristic, complemented
44C2×#898C2211yescharacteristic, complemented
45C2×#897C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic, complemented
51C2×#895C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic, complemented
57C2×#893C2211yescharacteristic, complemented
58C2×#892C2211yescharacteristic, complemented
59C2×D3×C4⋊C4C2211yescharacteristic, complemented
60C2×D3×C4⋊C4C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic, complemented
75C3×#399C2211yescharacteristic, complemented
76C3×#399C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic
81C3×#390C2211yescharacteristic
82C3×#389C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88#5222C2211yescharacteristic
89#5210C2211yescharacteristic, complemented
90#4994C2211yescharacteristic
91#4992C2211yescharacteristic
92#4992C2211yescharacteristic
93#4992C2211yescharacteristic, complemented
94#4992C2211yescharacteristic, complemented
95#4992C2211yescharacteristic, complemented
96#4991C2211yescharacteristic
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic, complemented
99#4991C2211yescharacteristic, complemented
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4988C2211yescharacteristic
107#4988C2211yescharacteristic, complemented
108#4987C2211yescharacteristic
109#4987C2211yescharacteristic, complemented
110#4985C2211yescharacteristic, complemented
111#4985C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117Dic3×C4⋊C4C2211yescharacteristic, complemented
118Dic3×C4⋊C4C2211yescharacteristic, complemented
119#4973C2211yescharacteristic, complemented
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4959C2211yescharacteristic
130#4958C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4953C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4949C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151Dic3×C22⋊C4C2211yescharacteristic, complemented
152Dic3×C22⋊C4C2211yescharacteristic, complemented
153#4940C2211yescharacteristic
154#4939C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
156#4933C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4670C2211yescharacteristic
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic
165#4669C2211yescharacteristic
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4664C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4661C2211yescharacteristic, complemented
189#4656C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#546—31no—
192#2724—31no—
193#2708—31no—
194#2697—31no—
195#2694D311yescharacteristic, complemented
196#2690—31no—
197#2688—31no—
198#2668—31no—
199#2668—31no—
200#2600—31no—
201#2559—31no—
202#2521—31no—
203#2482—31no—
204#2480—31no—
205#2468—31no—
206#2464—31no—
207#2461—31no—
208#2449—31no—
209#2443—31no—
210#2443—31no—
211#2418—31no—
212#2408—31no—
213#2407—31no—
214#2406—31no—
215#2405—31no—
216#2395—31no—
217#2361—31no—
218#2358—31no—
219#2333—31no—
220#2321—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×D3×D4—24no—
233C2×D3×D4—42no—
234C2×D3×D4—42no—
235C2×#235—24no—
236C2×#235—42no—
237C2×#235—42no—
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C3×#125—24no—
259C3×#123—24no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊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
292#939—24no—
293#938—42no—
294C4×#67—42no—
295C2×(C2×D3)⋊C4—24no—
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#898—24no—
357#898—24no—
358#897—42no—
359#896—24no—
360#895—24no—
361#895—24no—
362#895—24no—
363#895—24no—
364#895D418yescomplemented
365#894—24no—
366#894—24no—
367#894—24no—
368#893—24no—
369#893—24no—
370#893—24no—
371#892—24no—
372D3×C4⋊C4—24no—
373D3×C4⋊C4—42no—
374#885—24no—
375#884—24no—
376#883—42no—
377#883—42no—
378#882—24no—
379#882—24no—
380#882—24no—
381#882—24no—
382#67⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—42no—
385C4×D12—24no—
386C4×D12—24no—
387C4×D12—42no—
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—
421C23×D4—31no—
422#553—68no—
423#546—68no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#125C2×D311yescharacteristic, complemented
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×#117—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399C2×D311yescharacteristic, complemented
467#399C2×D311yescharacteristic, complemented
468#398—31no—
469#398—31no—
470#398—31no—
471#398C2×D311yescharacteristic, complemented
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397C2×D311yescharacteristic, complemented
482#396—31no—
483#396C2×D311yescharacteristic, complemented
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394C2×D311yescharacteristic
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390C2×D311yescharacteristic
508#389—31no—
509#389C2×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#388C2×D311yescharacteristic, complemented
523#388C2×D311yescharacteristic, complemented
524#387—31no—
525#387—31no—
526#387—31no—
527#387C2×D311yescharacteristic, complemented
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic, complemented
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380C2×D311yescharacteristic, complemented
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3C2411yescharacteristic
594C23×D3C2411yescharacteristic
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—41no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—41no—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649D3×D4—416no—
650#235—416no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12C2×D414yes—
672C2×D12C2×D414yes—
673C2×D12C2×D414yes—
674C2×D12#4114yescomplemented
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
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×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3C2×D414yes—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C2×Dic6—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4—41no—
721C3×C4⋊C4—41no—
722C3×C4⋊C4C2×D414yes—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C42—22no—
735C3×C42—41no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—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—41no—
765(C2×D3)⋊C4—41no—
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)⋊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)⋊C4C2×D414yes—
780(C2×D3)⋊C4C2×D414yes—
781C4⋊Dic3—22no—
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—22no—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—41no—
801C4×Dic3—41no—
802C4×Dic3—41no—
803C25—31no—
804C25—31no—
805C2×#41—64no—
806C2×#41—122no—
807C2×#41—122no—
808C22×Q8—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—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—64no—
824C22×D4—122no—
825C22×D4—122no—
826C22×D4C22×D311yescharacteristic
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4C22×D311yescharacteristic
840#126—64no—
841#126—64no—
842#125—24no—
843#124—64no—
844#123—24no—
845#123—64no—
846#123—64no—
847#123—64no—
848#123—122no—
849#123—122no—
850C22⋊Q8—64no—
851C22⋊Q8—122no—
852#121—38no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—64no—
859#121—122no—
860#120—64no—
861#120—64no—
862#120—64no—
863#120—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—64no—
870C4×D4—122no—
871C4×D4—122no—
872#117—64no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—64no—
890C2×C4⋊C4—122no—
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
949C2×C22⋊C4—64no—
950C2×C22⋊C4—122no—
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42C22×D311yescharacteristic
969C2×C42C22×D311yescharacteristic
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
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×C3H(5,𝔽2)12yes—
1016C23×C3C2511yescharacteristic
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
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—44no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3—44no—
1051C22×D3—44no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3—82no—
1056C22×D3—82no—
1057C22×D3—82no—
1058C22×D3—82no—
1059C22×D3—82no—
1060C22×D3—82no—
1061C22×D3C22×D412yes—
1062C22×D3C22×D412yes—
1063C22×D3C22×D412yes—
1064C22×D3C2×#4112yes—
1065C22×D3C2×#4112yes—
1066C3×D4—44no—
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—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—44no—
1103C2×C3×C4C22×D412yes—
1104C2×C3×C4C22×D412yes—
1105C2×C3×C4C22×D412yes—
1106C2×C3×C4C2×#4112yes—
1107#67—28no—
1108#67—44no—
1109#67—44no—
1110#67—44no—
1111#67—82no—
1112#67—82no—
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—82no—
1145C2×Dic3C22×D412yes—
1146C2×Dic3H(5,𝔽2)12yes—
1147D12—44no—
1148D12—44no—
1149D12—44no—
1150D12—44no—
1151D12—44no—
1152D12—44no—
1153D12—44no—
1154D12—44no—
1155C4×D3—44no—
1156C4×D3—44no—
1157C4×D3—44no—
1158C4×D3—44no—
1159C4×D3—44no—
1160C4×D3—44no—
1161C4×D3—82no—
1162C4×D3—82no—
1163C4×D3—82no—
1164C4×D3—82no—
1165C4×D3—82no—
1166Dic6—44no—
1167C24—31no—
1168C24—31no—
1169C24—31no—
1170C24—31no—
1171C24—31no—
1172C24—62no—
1173C24—62no—
1174C24—62no—
1175C24—62no—
1176C24—62no—
1177C24—121no—
1178C24—121no—
1179C24—121no—
1180C24—121no—
1181C24—121no—
1182C24—121no—
1183C24—121no—
1184C24—121no—
1185C24—121no—
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188#41—1216no—
1189C2×Q8—62no—
1190C2×Q8—62no—
1191C2×Q8—121no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—34no—
1195C2×D4—34no—
1196C2×D4—34no—
1197C2×D4—34no—
1198C2×D4—41no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
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—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
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—1216no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—34no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—41no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
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×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4D3×D414yes—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—34no—
1336C22⋊C4—34no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C42—22no—
1386C42—41no—
1387C42—62no—
1388C42—62no—
1389C42—62no—
1390C42—121no—
1391C42—121no—
1392C42—121no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
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×C3C23×D411yescharacteristic
1408C22×C3C22×#4111yescharacteristic
1409C22×C3C2×H(5,𝔽2)11yescharacteristic
1410C22×C3C2×H(5,𝔽2)11yescharacteristic
1411C22×C3#58511yescharacteristic
1412C22×C3#58511yescharacteristic
1413C22×C3#58511yescharacteristic
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—22no—
1422C2×D3—22no—
1423C2×D3—22no—
1424C2×D3—22no—
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
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—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—88no—
1450C2×D3—88no—
1451C3×C4—22no—
1452C3×C4—22no—
1453C3×C4—22no—
1454C3×C4—22no—
1455C3×C4—41no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464Dic3—22no—
1465Dic3—22no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—32no—
1489C23—32no—
1490C23—32no—
1491C23—32no—
1492C23—32no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
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—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—124no—
1524C23—124no—
1525C23—124no—
1526C23—124no—
1527C23—124no—
1528C23—242no—
1529C23—242no—
1530C23—242no—
1531C23—242no—
1532C23—242no—
1533C23—242no—
1534C23—242no—
1535C23—242no—
1536C23—242no—
1537C23#100912yes—
1538C23C24×D311yescharacteristic
1539Q8—124no—
1540D4—44no—
1541D4—68no—
1542D4—124no—
1543D4—124no—
1544D4—124no—
1545D4—124no—
1546D4—124no—
1547D4—124no—
1548D4—124no—
1549D4—124no—
1550D4—124no—
1551D4—124no—
1552D4—124no—
1553D4—242no—
1554D4—242no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—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—32no—
1591C2×C4—32no—
1592C2×C4—44no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—124no—
1625C2×C4—124no—
1626C2×C4—124no—
1627C2×C4—124no—
1628C2×C4—124no—
1629C2×C4—124no—
1630C2×C4—242no—
1631C2×C4—242no—
1632C2×C4—242no—
1633C2×C4—242no—
1634C2×C4—242no—
1635C2×C4—242no—
1636C2×C4C2×D3×D412yes—
1637C2×C4C2×D3×D412yes—
1638C2×C4C2×D3×D412yes—
1639C2×C4D3×#4112yes—
1640C2×C3—42no—
1641C2×C3—81no—
1642C2×C3D4×#4111yescharacteristic
1643C2×C3#348411yescharacteristic
1644C2×C3#348511yescharacteristic
1645C2×C3#350511yescharacteristic
1646C2×C3#351311yescharacteristic
1647C2×C3#356011yescharacteristic
1648C2×C3#356211yescharacteristic
1649D3—42no—
1650D3—42no—
1651D3—42no—
1652D3—42no—
1653D3—42no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—62no—
1669C22—62no—
1670C22—62no—
1671C22—62no—
1672C22—62no—
1673C22—62no—
1674C22—62no—
1675C22—62no—
1676C22—62no—
1677C22—62no—
1678C22—62no—
1679C22—62no—
1680C22—62no—
1681C22—62no—
1682C22—62no—
1683C22—121no—
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—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—248no—
1704C22—248no—
1705C22C22×D3×D411yescharacteristic
1706C22C2×D3×#4111yescharacteristic
1707C22C2×#100911yescharacteristic
1708C22D3×H(5,𝔽2)11yescharacteristic
1709C22#596611yescharacteristic
1710C22#596811yescharacteristic
1711C22#596811yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—62no—
1726C4—62no—
1727C4—121no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C4—121no—
1733C4—121no—
1734C4—121no—
1735C4—121no—
1736C3#4354611yescharacteristic, complemented, Sylow
1737C2—42no—
1738C2—81no—
1739C2—122no—
1740C2—122no—
1741C2—122no—
1742C2—122no—
1743C2—122no—
1744C2#8635411yescharacteristic
1745C2#8644311yescharacteristic
1746C2#8645411yescharacteristic
1747C2#8666211yescharacteristic
1748C2#8676611yescharacteristic
1749C2#8683411yescharacteristic
1750C2#8710211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2694C2
hypercenter#2694D3
hypocenterC3#43546
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. C2×#5695C2semidirect
2. C2×#5654C2semidirect
3. C3×#2694C2semidirect
4. #83068C2semidirect
5. #82897C2semidirect
6. #78112C2semidirect
7. #78112C2semidirect
8. #78034C2semidirect
9. #78017C2semidirect
10. #77982C2semidirect
11. #77754C2semidirect
12. #77694C2semidirect
13. #77676C2semidirect
14. #77437C2semidirect
15. #77295C2semidirect
16. #77106C2semidirect
17. #76917C2semidirect
18. #76436C2semidirect
19. #76359C2semidirect
20. #76271C2semidirect
21. #76206C2semidirect
22. #75896C2semidirect
23. #75848C2semidirect
24. #75844C2semidirect
25. #75827C2semidirect
26. #75321C2semidirect
27. #74952C2semidirect
28. #74600C2semidirect
29. #74596C2semidirect
30. #74015C2semidirect
31. #73909C2semidirect
35. C2×C3×#125C22semidirect
39. C2×C4×#67C22semidirect
43. C2×#898C22semidirect
44. C2×#898C22semidirect
45. C2×#897C22semidirect
50. C2×#895C22semidirect
51. C2×#895C22semidirect
54. C2×#894C22semidirect
56. C2×#893C22semidirect
57. C2×#893C22semidirect
58. C2×#892C22semidirect
59. C2×D3×C4⋊C4C22semidirect
60. C2×D3×C4⋊C4C22semidirect
64. C2×#883C22semidirect
73. C2×C4×D12C22semidirect
74. C2×C4×D12C22semidirect
75. C3×#399C22semidirect
76. C3×#399C22semidirect
77. C3×#398C22semidirect
78. C3×#397C22semidirect
79. C3×#396C22semidirect
82. C3×#389C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
86. C3×#385C22semidirect
87. C3×#380C22semidirect
89. #5210C22semidirect
93. #4992C22semidirect
94. #4992C22semidirect
95. #4992C22semidirect
98. #4991C22semidirect
99. #4991C22semidirect
101. #4990C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
107. #4988C22semidirect
109. #4987C22semidirect
110. #4985C22semidirect
111. #4985C22semidirect
112. #4982C22semidirect
113. #4982C22semidirect
114. #4980C22semidirect
115. #4980C22semidirect
116. #4979C22semidirect
117. Dic3×C4⋊C4C22semidirect
118. Dic3×C4⋊C4C22semidirect
119. #4973C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
130. #4958C22semidirect
131. #4957C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
144. #4953C22semidirect
145. #4951C22semidirect
146. #4951C22semidirect
147. #4951C22semidirect
148. #4950C22semidirect
149. #4949C22semidirect
150. #4945C22semidirect
151. Dic3×C22⋊C4C22semidirect
152. Dic3×C22⋊C4C22semidirect
155. C4×(C2×D3)⋊C4C22semidirect
156. #4933C22semidirect
157. #4928C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4674C22semidirect
163. #4670C22semidirect
166. #4669C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4666C22semidirect
175. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4664C22semidirect
187. #4664C22semidirect
188. #4661C22semidirect
189. #4656C22semidirect
195. #2694D3semidirect
364. #895D4semidirect
426. C2×#125C2×D3semidirect
466. #399C2×D3semidirect
467. #399C2×D3semidirect
471. #398C2×D3semidirect
481. #397C2×D3semidirect
483. #396C2×D3semidirect
509. #389C2×D3semidirect
522. #388C2×D3semidirect
523. #388C2×D3semidirect
527. #387C2×D3semidirect
559. #385C2×D3semidirect
564. #380C2×D3semidirect
674. C2×D12#41semidirect
1736. C3#43546semidirect

Maximal subgroups

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

subgroupindex
C2×#56952
C2×#56542
C3×#26942
#830682
#828972
#781122
#780342
#780172
#779822
#777542
#776942
#776762
#774372
#772952
#771062
#769172
#764362
#763592
#762712
#762062
#758962
#758482
#758442
#758272
#753212
#749522
#746002
#745962
#740152
#739092
#435463