Finite Group Databasebeta

← #11025346

Subgroups — #11025346

Order 768.

2586 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5710C211yesmaximal, characteristic, complemented
2C2×D3×#123C211yesmaximal, characteristic, complemented
3C3×#2705C211yesmaximal, characteristic, complemented
4#83082C211yesmaximal, characteristic, complemented
5#82870C211yesmaximal, characteristic, complemented
6#78102C211yesmaximal, characteristic, complemented
7#78058C211yesmaximal, characteristic, complemented
8#77439C211yesmaximal, characteristic, complemented
9#77419C211yesmaximal, characteristic, complemented
10#77303C211yesmaximal, characteristic, complemented
11#77299C211yesmaximal, characteristic, complemented
12#77153C211yesmaximal, characteristic, complemented
13#77112C211yesmaximal, characteristic, complemented
14#76974C211yesmaximal, characteristic, complemented
15#76925C211yesmaximal, characteristic, complemented
16#76755C211yesmaximal, characteristic
17#76680C211yesmaximal, characteristic, complemented
18#76441C211yesmaximal, characteristic, complemented
19#76330C211yesmaximal, characteristic, complemented
20#76326C211yesmaximal, characteristic, complemented
21#76315C211yesmaximal, characteristic, complemented
22#75999C211yesmaximal, characteristic, complemented
23#75977C211yesmaximal, characteristic, complemented
24#75931C211yesmaximal, characteristic, complemented
25#75833C211yesmaximal, characteristic, complemented
26#75398C211yesmaximal, characteristic, complemented
27#74965C211yesmaximal, characteristic, complemented
28#74914C211yesmaximal, characteristic, complemented
29#74659C211yesmaximal, characteristic, complemented
30#74049C211yesmaximal, characteristic, complemented
31#74038C211yesmaximal, characteristic, complemented
32#37715—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#938C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#936C2211yescharacteristic
41C2×#935C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic, complemented
43C2×#929C2211yescharacteristic
44C2×#924C2211yescharacteristic, complemented
45#5710—28no—
46D3×#123—28no—
47C2×#898C2211yescharacteristic, complemented
48C2×#897C2211yescharacteristic
49C2×#897C2211yescharacteristic
50C2×#897C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic
52C2×#896C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#892C2211yescharacteristic, complemented
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#888C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#886C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#878C2211yescharacteristic, complemented
73C2×#875C2211yescharacteristic
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#399C2211yescharacteristic, complemented
76C3×#396C2211yescharacteristic, complemented
77C3×#396C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#390C2211yescharacteristic
82C3×#390C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88#5223C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic, complemented
91#5221C2211yescharacteristic, complemented
92#5220C2211yescharacteristic, complemented
93#5210C2211yescharacteristic, complemented
94#4992C2211yescharacteristic, complemented
95#4992C2211yescharacteristic, complemented
96#4990C2211yescharacteristic, complemented
97#4990C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4988C2211yescharacteristic
103#4987C2211yescharacteristic
104#4987C2211yescharacteristic
105#4987C2211yescharacteristic, complemented
106#4987C2211yescharacteristic, complemented
107#4986C2211yescharacteristic, complemented
108#4985C2211yescharacteristic, complemented
109#4984C2211yescharacteristic, complemented
110#4984C2211yescharacteristic, complemented
111#4984C2211yescharacteristic, complemented
112#4981C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic, complemented
132#4955C2211yescharacteristic
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4953C2211yescharacteristic, complemented
138#4953C2211yescharacteristic, complemented
139#4951C2211yescharacteristic, complemented
140#4951C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4950C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4949C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157#4944C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164#4935C2211yescharacteristic, complemented
165#4933C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4674C2211yescharacteristic, complemented
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4666C2211yescharacteristic
179#4666C2211yescharacteristic
180#4666C2211yescharacteristic, complemented
181#4665C2211yescharacteristic
182#4664C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C22×#123—31no—
192#2848—31no—
193#2718—31no—
194#2717—31no—
195#2710—31no—
196#2705D311yescharacteristic, complemented
197#2701—31no—
198#2687—31no—
199#2674—31no—
200#2672—31no—
201#2663—31no—
202#2630—31no—
203#2481—31no—
204#2480—31no—
205#2472—31no—
206#2472—31no—
207#2470—31no—
208#2461—31no—
209#2458—31no—
210#2449—31no—
211#2440—31no—
212#2437—31no—
213#2435—31no—
214#2422—31no—
215#2418—31no—
216#2410—31no—
217#2360—31no—
218#2342—31no—
219#2335—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×D3×D4—24no—
235C2×D3×D4—42no—
236C2×D3×D4—42no—
237C22×D12C2311yescharacteristic
238C22×C4×D3—24no—
239C22×C4×D3—42no—
240C22×C4×D3—42no—
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#126—24no—
254C3×#123—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊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×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295#938—42no—
296#937—24no—
297#937—42no—
298#936—42no—
299#935—24no—
300D4×Dic3—42no—
301#929—24no—
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×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339#924—42no—
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—24no—
361#897—24no—
362#897—42no—
363#897—42no—
364#896—24no—
365#896—24no—
366#894—24no—
367#894D418yescomplemented
368#892—24no—
369D3×C4⋊C4—24no—
370D3×C4⋊C4—24no—
371#888—24no—
372#886—24no—
373#886—24no—
374#885—24no—
375#885—24no—
376#884—24no—
377#883—24no—
378#883—24no—
379#67⋊C4—24no—
380#67⋊C4—42no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—24no—
385#878—24no—
386#875—24no—
387C4×Dic6—24no—
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
420C23×D4—31no—
421C24×C4—31no—
422#542—68no—
423C2×C4⋊Q8—31no—
424C2×#126—31no—
425C2×#126C2×D311yescharacteristic, complemented
426C2×#124—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—68no—
439C2×#123C2×D311yescharacteristic
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×Q8—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×#117—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊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#398—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396C2×D311yescharacteristic, complemented
481#396C2×D311yescharacteristic, complemented
482#395—31no—
483#395—31no—
484#395—31no—
485#394—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#394C2×D311yescharacteristic, complemented
496#394C2×D311yescharacteristic, complemented
497#393—31no—
498#393—31no—
499#393—31no—
500#392—31no—
501#392C2×D311yescharacteristic
502#391—31no—
503#390—31no—
504#390—31no—
505#390C2×D311yescharacteristic
506#390C2×D311yescharacteristic, complemented
507#389—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#389C2×D311yescharacteristic, complemented
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#388—31no—
524#388—31no—
525#388—31no—
526#388C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic, complemented
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#384—31no—
557#381—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380C2×D311yescharacteristic, complemented
564#379—31no—
565#379—31no—
566#379—31no—
567#379—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—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3C2411yescharacteristic
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
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
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655D3×D4—416no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12C2×D414yes—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—416no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3C2×D414yes—
687C2×Dic6—22no—
688C2×Dic6—22no—
689C2×Dic6—22no—
690C2×Dic6—22no—
691C2×Dic6—41no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4C2×D414yes—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C42—22no—
720C3×C42—41no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
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—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4C2×D414yes—
758(C2×D3)⋊C4C2×D414yes—
759(C2×D3)⋊C4C2×D414yes—
760(C2×D3)⋊C4#4114yes—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—22no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4C2×D414yes—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C25—31no—
794C25—31no—
795C22×Q8—31no—
796C22×Q8—31no—
797C22×Q8—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—64no—
805C22×D4—122no—
806C22×D4—122no—
807C22×D4C22×D311yescharacteristic
808C22×D4C22×D311yescharacteristic
809C22×D4C22×D311yescharacteristic
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—64no—
822C23×C4—122no—
823C23×C4—122no—
824C23×C4C22×D311yescharacteristic
825C4⋊Q8—64no—
826#126—24no—
827#126—64no—
828#124—64no—
829#124—64no—
830#124—64no—
831#124—122no—
832#123—24no—
833#123—38no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840#123—64no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—122no—
846C22⋊Q8—122no—
847C22⋊Q8—122no—
848#121—64no—
849#121—122no—
850#120—64no—
851#120—122no—
852C4×Q8—64no—
853C4×D4—64no—
854C4×D4—122no—
855C4×D4—122no—
856#117—64no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—64no—
883C2×C4⋊C4—64no—
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—64no—
934C2×C22⋊C4—64no—
935C2×C22⋊C4—64no—
936C2×C22⋊C4—64no—
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42C22×D311yescharacteristic
959C2×C42C22×D311yescharacteristic
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3H(5,𝔽2)12yes—
1013C23×C3C2511yescharacteristic
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—28no—
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—44no—
1032C22×D3—44no—
1033C22×D3—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3—82no—
1042C22×D3—82no—
1043C22×D3—82no—
1044C22×D3C22×D412yes—
1045C22×D3C22×D412yes—
1046C22×D3C2×#4112yes—
1047C22×D3H(5,𝔽2)12yes—
1048C22×D32−1+412yes—
1049C3×D4—44no—
1050C3×D4—44no—
1051C3×D4—82no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—44no—
1085C2×C3×C4C22×D412yes—
1086C2×C3×C4C22×D412yes—
1087C2×C3×C4C22×D412yes—
1088C2×C3×C4C2×#4112yes—
1089#67—44no—
1090#67—44no—
1091#67—44no—
1092#67—44no—
1093#67—82no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—44no—
1131C2×Dic3—82no—
1132C2×Dic3C22×D412yes—
1133C2×Dic3C22×D412yes—
1134C2×Dic3C2×#4112yes—
1135D12—44no—
1136C4×D3—44no—
1137C4×D3—44no—
1138C4×D3—44no—
1139C4×D3—44no—
1140C4×D3—44no—
1141C4×D3—44no—
1142C4×D3—44no—
1143C4×D3—44no—
1144C4×D3—82no—
1145Dic6—44no—
1146Dic6—82no—
1147Dic6—82no—
1148C24—31no—
1149C24—31no—
1150C24—31no—
1151C24—62no—
1152C24—62no—
1153C24—62no—
1154C24—62no—
1155C24—62no—
1156C24—62no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—121no—
1161C24—121no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168C2×Q8—62no—
1169C2×Q8—62no—
1170C2×Q8—62no—
1171C2×Q8—62no—
1172C2×Q8—121no—
1173C2×Q8—121no—
1174C2×Q8—121no—
1175C2×Q8—121no—
1176C2×Q8—121no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—34no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—1216no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—34no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—31no—
1221C22×C4—41no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—1216no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—34no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4D3×D414yes—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—34no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C42—22no—
1356C42—41no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—121no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3C23×D411yescharacteristic
1386C22×C3C22×#4111yescharacteristic
1387C22×C3C2×H(5,𝔽2)11yescharacteristic
1388C22×C3C2×H(5,𝔽2)11yescharacteristic
1389C22×C3C2×2−1+411yescharacteristic
1390C22×C3#58511yescharacteristic
1391C22×C3#58511yescharacteristic
1392C2×D3—22no—
1393C2×D3—22no—
1394C2×D3—22no—
1395C2×D3—22no—
1396C2×D3—22no—
1397C2×D3—22no—
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—416no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—88no—
1414C2×D3#54214yescomplemented
1415C3×C4—22no—
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—22no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427Dic3—22no—
1428Dic3—22no—
1429Dic3—22no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—32no—
1461C23—32no—
1462C23—32no—
1463C23—32no—
1464C23—32no—
1465C23—68no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—124no—
1483C23—124no—
1484C23—124no—
1485C23—124no—
1486C23—124no—
1487C23—124no—
1488C23—124no—
1489C23—124no—
1490C23—124no—
1491C23—124no—
1492C23—242no—
1493C23—242no—
1494C23—242no—
1495C23#100912yes—
1496C23C24×D311yescharacteristic
1497Q8—124no—
1498Q8—242no—
1499Q8—242no—
1500D4—44no—
1501D4—44no—
1502D4—82no—
1503D4—124no—
1504D4—124no—
1505D4—124no—
1506D4—124no—
1507D4—124no—
1508D4—242no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—32no—
1542C2×C4—32no—
1543C2×C4—32no—
1544C2×C4—44no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—124no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—242no—
1591C2×C4—242no—
1592C2×C4C2×D3×D412yes—
1593C2×C4C2×D3×D412yes—
1594C2×C4C2×D3×D412yes—
1595C2×C4D3×#4112yes—
1596C2×C3—42no—
1597C2×C3—81no—
1598C2×C3—81no—
1599C2×C3C2×#54211yescharacteristic
1600C2×C3D4×#4111yescharacteristic
1601C2×C3#348411yescharacteristic
1602C2×C3#348911yescharacteristic
1603C2×C3#351311yescharacteristic
1604C2×C3#353311yescharacteristic
1605C2×C3#353511yescharacteristic
1606D3—24no—
1607D3—42no—
1608D3—42no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—34no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—62no—
1632C22—62no—
1633C22—62no—
1634C22—62no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—62no—
1643C22—1216no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—248no—
1653C22C22×D3×D411yescharacteristic
1654C22C2×D3×#4111yescharacteristic
1655C22C2×#100911yescharacteristic
1656C22D3×H(5,𝔽2)11yescharacteristic
1657C22#596611yescharacteristic
1658C22#596611yescharacteristic
1659C22D3×2−1+411yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—62no—
1673C4—62no—
1674C4—62no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C3#3771511yescharacteristic, complemented, Sylow
1686C2—42no—
1687C2—64no—
1688C2—81no—
1689C2—81no—
1690C2—122no—
1691C2—122no—
1692C2#8638011yescharacteristic
1693C2#8646011yescharacteristic
1694C2D3×#54211yescharacteristic
1695C2#8666211yescharacteristic
1696C2#8676611yescharacteristic
1697C2#8679511yescharacteristic
1698C2#8708111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2705C2
prime radical#76755C2
hypercenter#2705D3
hypocenterC3#37715
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#5710C2semidirect
2. C2×D3×#123C2semidirect
3. C3×#2705C2semidirect
4. #83082C2semidirect
5. #82870C2semidirect
6. #78102C2semidirect
7. #78058C2semidirect
8. #77439C2semidirect
9. #77419C2semidirect
10. #77303C2semidirect
11. #77299C2semidirect
12. #77153C2semidirect
13. #77112C2semidirect
14. #76974C2semidirect
15. #76925C2semidirect
17. #76680C2semidirect
18. #76441C2semidirect
19. #76330C2semidirect
20. #76326C2semidirect
21. #76315C2semidirect
22. #75999C2semidirect
23. #75977C2semidirect
24. #75931C2semidirect
25. #75833C2semidirect
26. #75398C2semidirect
27. #74965C2semidirect
28. #74914C2semidirect
29. #74659C2semidirect
30. #74049C2semidirect
31. #74038C2semidirect
35. C2×C3×#126C22semidirect
42. C2×D4×Dic3C22semidirect
44. C2×#924C22semidirect
47. C2×#898C22semidirect
50. C2×#897C22semidirect
52. C2×#896C22semidirect
55. C2×#892C22semidirect
58. C2×#888C22semidirect
60. C2×#886C22semidirect
61. C2×#885C22semidirect
62. C2×#885C22semidirect
67. C2×#67⋊C4C22semidirect
72. C2×#878C22semidirect
74. C2×C4×Dic6C22semidirect
75. C3×#399C22semidirect
76. C3×#396C22semidirect
77. C3×#396C22semidirect
78. C3×#394C22semidirect
79. C3×#394C22semidirect
82. C3×#390C22semidirect
83. C3×#389C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
86. C3×#386C22semidirect
87. C3×#380C22semidirect
90. #5222C22semidirect
91. #5221C22semidirect
92. #5220C22semidirect
93. #5210C22semidirect
94. #4992C22semidirect
95. #4992C22semidirect
96. #4990C22semidirect
97. #4990C22semidirect
98. #4990C22semidirect
101. #4989C22semidirect
105. #4987C22semidirect
106. #4987C22semidirect
107. #4986C22semidirect
108. #4985C22semidirect
109. #4984C22semidirect
110. #4984C22semidirect
111. #4984C22semidirect
112. #4981C22semidirect
113. #4981C22semidirect
114. #4980C22semidirect
115. #4979C22semidirect
116. #4978C22semidirect
117. #4976C22semidirect
123. #4961C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
131. #4956C22semidirect
137. #4953C22semidirect
138. #4953C22semidirect
139. #4951C22semidirect
140. #4951C22semidirect
141. #4951C22semidirect
142. #4950C22semidirect
143. #4950C22semidirect
144. #4950C22semidirect
145. #4949C22semidirect
146. #4949C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4947C22semidirect
151. #4947C22semidirect
152. #4947C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4944C22semidirect
157. #4944C22semidirect
158. #4944C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. #4940C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. #4935C22semidirect
165. #4933C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
168. #4674C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4667C22semidirect
180. #4666C22semidirect
182. #4664C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
196. #2705D3semidirect
367. #894D4semidirect
425. C2×#126C2×D3semidirect
466. #399C2×D3semidirect
480. #396C2×D3semidirect
481. #396C2×D3semidirect
495. #394C2×D3semidirect
496. #394C2×D3semidirect
506. #390C2×D3semidirect
512. #389C2×D3semidirect
526. #388C2×D3semidirect
531. #387C2×D3semidirect
540. #386C2×D3semidirect
563. #380C2×D3semidirect
1414. C2×D3#542semidirect
1685. C3#37715semidirect

Maximal subgroups

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

subgroupindex
C2×#57102
C2×D3×#1232
C3×#27052
#830822
#828702
#781022
#780582
#774392
#774192
#773032
#772992
#771532
#771122
#769742
#769252
#767552
#766802
#764412
#763302
#763262
#763152
#759992
#759772
#759312
#758332
#753982
#749652
#749142
#746592
#740492
#740382
#377153