Finite Group Databasebeta

← #11025349

Subgroups — #11025349

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
2C22×#894C211yesmaximal, characteristic, complemented
3C3×#2481C211yesmaximal, characteristic, complemented
4#83094C211yesmaximal, characteristic, complemented
5#82171C211yesmaximal, characteristic, complemented
6#78372C211yesmaximal, characteristic, complemented
7#78364C211yesmaximal, characteristic, complemented
8#78232C211yesmaximal, characteristic, complemented
9#78140C211yesmaximal, characteristic, complemented
10#77701C211yesmaximal, characteristic, complemented
11#77465C211yesmaximal, characteristic, complemented
12#77426C211yesmaximal, characteristic, complemented
13#77334C211yesmaximal, characteristic, complemented
14#75926C211yesmaximal, characteristic, complemented
15#75511C211yesmaximal, characteristic, complemented
16#75398C211yesmaximal, characteristic, complemented
17#75388C211yesmaximal, characteristic, complemented
18#74989C211yesmaximal, characteristic, complemented
19#74956C211yesmaximal, characteristic, complemented
20#74891C211yesmaximal, characteristic, complemented
21#74887C211yesmaximal, characteristic
22#74728C211yesmaximal, characteristic, complemented
23#74727C211yesmaximal, characteristic, complemented
24#74709C211yesmaximal, characteristic, complemented
25#74659C211yesmaximal, characteristic, complemented
26#74595C211yesmaximal, characteristic, complemented
27#74453C211yesmaximal, characteristic, complemented
28#74049C211yesmaximal, characteristic, complemented
29#73896C211yesmaximal, characteristic, complemented
30#73588C211yesmaximal, characteristic, complemented
31#73466C211yesmaximal, characteristic, complemented
32#37715—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C22×C3×C4⋊C4C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×D4×Dic3C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C2×#924C2211yescharacteristic
44C2×#924C2211yescharacteristic
45C22×Dic3⋊C4C2211yescharacteristic
46#5710—28no—
47C2×#898C2211yescharacteristic, complemented
48C2×#897C2211yescharacteristic, complemented
49C2×#897C2211yescharacteristic, complemented
50C2×#896C2211yescharacteristic, complemented
51C2×#894—28no—
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#892C2211yescharacteristic, complemented
61C2×#888C2211yescharacteristic, complemented
62C2×#886C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic, complemented
72C2×#875C2211yescharacteristic
73C2×#875C2211yescharacteristic
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#400C2211yescharacteristic, complemented
76C3×#400C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#380C2211yescharacteristic
87C3×C4×C22⋊C4C2211yescharacteristic
88#5220C2211yescharacteristic
89#5212C2211yescharacteristic
90#5210C2211yescharacteristic
91#5210C2211yescharacteristic
92C4×#217C2211yescharacteristic
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4993C2211yescharacteristic, complemented
96#4992C2211yescharacteristic, complemented
97#4990C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4990C2211yescharacteristic, complemented
100#4989C2211yescharacteristic, complemented
101#4987C2211yescharacteristic, complemented
102#4987C2211yescharacteristic, complemented
103#4987C2211yescharacteristic, complemented
104#4984C2211yescharacteristic, complemented
105#4982C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4979C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4975C2211yescharacteristic, complemented
110#4972C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4959C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4958C2211yescharacteristic, complemented
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4956C2211yescharacteristic, complemented
123#4956C2211yescharacteristic, complemented
124#4955C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic
131#4949C2211yescharacteristic, complemented
132#4948C2211yescharacteristic, complemented
133#4946C2211yescharacteristic
134#4946C2211yescharacteristic, complemented
135Dic3×C22⋊C4C2211yescharacteristic
136Dic3×C22⋊C4C2211yescharacteristic
137#4939C2211yescharacteristic
138#4939C2211yescharacteristic
139#4933C2211yescharacteristic, complemented
140C4×Dic3⋊C4C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4677C2211yescharacteristic, complemented
143#4676C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4675C2211yescharacteristic, complemented
147#4674C2211yescharacteristic, complemented
148#4674C2211yescharacteristic, complemented
149#4673C2211yescharacteristic, complemented
150#4673C2211yescharacteristic, complemented
151#4673C2211yescharacteristic, complemented
152#4672C2211yescharacteristic
153#4672C2211yescharacteristic
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4670C2211yescharacteristic, complemented
159#4670C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4669C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4664C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, 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#2705—31no—
197#2701—31no—
198#2687—31no—
199#2674—31no—
200#2672—31no—
201#2663—31no—
202#2630—31no—
203#2481D311yescharacteristic, complemented
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
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×D12—24no—
235C22×D12—42no—
236C22×D12—42no—
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3—24no—
242C22×C4×D3—42no—
243C22×C4×D3—42no—
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—
254C2×C3×C4⋊C4—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×C22⋊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×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281#937—24no—
282#937—42no—
283D4×Dic3—42no—
284C2×(C2×D3)⋊C4—24no—
285C2×(C2×D3)⋊C4—24no—
286C2×(C2×D3)⋊C4—24no—
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335#924—42no—
336#924—42no—
337C2×Dic3⋊C4—24no—
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#898—24no—
362#897—24no—
363#897—42no—
364#896—24no—
365#894—24no—
366#894—24no—
367#894—24no—
368#894—24no—
369#894—24no—
370#894—24no—
371#894—24no—
372#894D418yescomplemented
373#892—24no—
374#888—24no—
375#886—24no—
376#885—24no—
377#885—24no—
378#884—24no—
379#884—42no—
380#67⋊C4—24no—
381#67⋊C4—42no—
382D3×C22⋊C4—24no—
383#878—24no—
384#878—24no—
385#875—24no—
386#875—42no—
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—31no—
439C2×#123—68no—
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⋊C4C2×D311yescharacteristic
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400C2×D311yescharacteristic, complemented
463#400C2×D311yescharacteristic, complemented
464#399—31no—
465#399—31no—
466#399—31no—
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#397C2×D311yescharacteristic, complemented
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
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#394—31no—
496#394—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#389—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388C2×D311yescharacteristic, complemented
527#387—31no—
528#387—31no—
529#387—31no—
530#387C2×D311yescharacteristic, complemented
531#387C2×D311yescharacteristic, complemented
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386C2×D311yescharacteristic
539#386C2×D311yescharacteristic
540#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
556#384—31no—
557#381—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380C2×D311yescharacteristic
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⋊C4C2×D311yescharacteristic
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
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—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3C2411yescharacteristic
594C23×D3C2411yescharacteristic
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
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×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
621C22×C3×C4C2411yescharacteristic
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—416no—
667C2×D12C2×D414yes—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
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—22no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4C2×D414yes—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C42—22no—
714C3×C42—41no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—41no—
720#217—41no—
721#217#4114yes—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
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—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
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—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
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—31no—
805C22×D4—31no—
806C22×D4—64no—
807C22×D4—122no—
808C22×D4—122no—
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—64no—
820C23×C4—122no—
821C23×C4—122no—
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
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—38no—
833#123—64no—
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—24no—
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—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—64no—
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—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—64no—
939C2×C22⋊C4—64no—
940C2×C22⋊C4—64no—
941C2×C22⋊C4—64no—
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×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#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
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×C3C2×#4112yes—
1004C23×C3H(5,𝔽2)12yes—
1005C23×C32−1+412yes—
1006C23×C3C2511yescharacteristic
1007C22×D3—28no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
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—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3—44no—
1042C22×D3—44no—
1043C22×D3—82no—
1044C22×D3—82no—
1045C22×D3—82no—
1046C22×D3C22×D412yes—
1047C22×D3C22×D412yes—
1048C22×D3H(5,𝔽2)12yes—
1049C3×D4—44no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
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—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—44no—
1087C2×C3×C4—44no—
1088C2×C3×C4—44no—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4C22×D412yes—
1091C2×C3×C4C22×D412yes—
1092#67—44no—
1093#67—44no—
1094#67—82no—
1095#67—82no—
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—44no—
1129C2×Dic3—44no—
1130C2×Dic3—82no—
1131C2×Dic3C22×D412yes—
1132C2×Dic3C22×D412yes—
1133C2×Dic3C2×#4112yes—
1134C2×Dic3C2×#4112yes—
1135D12—44no—
1136D12—44no—
1137D12—44no—
1138D12—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—31no—
1152C24—62no—
1153C24—62no—
1154C24—62no—
1155C24—62no—
1156C24—62no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—62no—
1161C24—121no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
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—34no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—1216no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—34no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—31no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
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—62no—
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—1216no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4C23×D311yescharacteristic
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—22no—
1272C4⋊C4—34no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—62no—
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—121no—
1288C4⋊C4—121no—
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—34no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
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—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
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—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3#54214yescomplemented
1378C22×C3C23×D411yescharacteristic
1379C22×C3C22×#4111yescharacteristic
1380C22×C3C2×H(5,𝔽2)11yescharacteristic
1381C22×C3C2×H(5,𝔽2)11yescharacteristic
1382C22×C3C2×2−1+411yescharacteristic
1383C22×C3#58511yescharacteristic
1384C22×C3#58511yescharacteristic
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—22no—
1389C2×D3—22no—
1390C2×D3—22no—
1391C2×D3—22no—
1392C2×D3—22no—
1393C2×D3—22no—
1394C2×D3—416no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
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—41no—
1414C2×D3—88no—
1415C3×C4—22no—
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4—41no—
1428Dic3—22no—
1429Dic3—22no—
1430Dic3—22no—
1431Dic3—22no—
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—32no—
1452C23—32no—
1453C23—32no—
1454C23—68no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
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—124no—
1481C23—124no—
1482C23—124no—
1483C23—124no—
1484C23—124no—
1485C23—124no—
1486C23—124no—
1487C23—124no—
1488C23—124no—
1489C23—124no—
1490C23—242no—
1491C23—242no—
1492C23—242no—
1493C23D3×#4112yes—
1494C23#100912yes—
1495C23#101012yes—
1496C23C24×D311yescharacteristic
1497Q8—124no—
1498Q8—242no—
1499Q8—242no—
1500D4—44no—
1501D4—124no—
1502D4—124no—
1503D4—124no—
1504D4—124no—
1505D4—124no—
1506D4—124no—
1507D4—242no—
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—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—32no—
1546C2×C4—32no—
1547C2×C4—32no—
1548C2×C4—32no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
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—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—242no—
1592C2×C4—242no—
1593C2×C4C2×D3×D412yes—
1594C2×C4C2×D3×D412yes—
1595C2×C4C2×D3×D412yes—
1596C2×C3—24no—
1597C2×C3—81no—
1598C2×C3C2×#54211yescharacteristic
1599C2×C3D4×#4111yescharacteristic
1600C2×C3#348411yescharacteristic
1601C2×C3#348911yescharacteristic
1602C2×C3#351311yescharacteristic
1603C2×C3#353311yescharacteristic
1604C2×C3#353511yescharacteristic
1605D3—42no—
1606D3—42no—
1607D3—42no—
1608D3—81no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—62no—
1623C22—62no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—62no—
1628C22—62no—
1629C22—62no—
1630C22—62no—
1631C22—1216no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—248no—
1652C22#571014yescomplemented
1653C22C22×D3×D411yescharacteristic
1654C22C2×D3×#4111yescharacteristic
1655C22C2×#100911yescharacteristic
1656C22C2×#101011yescharacteristic
1657C22#596411yescharacteristic
1658C22D3×H(5,𝔽2)11yescharacteristic
1659C22#596811yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—62no—
1674C4—62no—
1675C4—62no—
1676C4—62no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C3#3771511yescharacteristic, complemented, Sylow
1686C2—24no—
1687C2—81no—
1688C2—122no—
1689C2—122no—
1690C2—122no—
1691C2—241no—
1692C2#8604211yescharacteristic
1693C2C2×#571011yescharacteristic
1694C2#8646111yescharacteristic
1695C2#8666211yescharacteristic
1696C2#8671011yescharacteristic
1697C2#8686411yescharacteristic
1698C2#8688211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2481C2
prime radical#74887C2
hypercenter#2481D3
hypocenterC3#37715
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#5710C2semidirect
2. C22×#894C2semidirect
3. C3×#2481C2semidirect
4. #83094C2semidirect
5. #82171C2semidirect
6. #78372C2semidirect
7. #78364C2semidirect
8. #78232C2semidirect
9. #78140C2semidirect
10. #77701C2semidirect
11. #77465C2semidirect
12. #77426C2semidirect
13. #77334C2semidirect
14. #75926C2semidirect
15. #75511C2semidirect
16. #75398C2semidirect
17. #75388C2semidirect
18. #74989C2semidirect
19. #74956C2semidirect
20. #74891C2semidirect
22. #74728C2semidirect
23. #74727C2semidirect
24. #74709C2semidirect
25. #74659C2semidirect
26. #74595C2semidirect
27. #74453C2semidirect
28. #74049C2semidirect
29. #73896C2semidirect
30. #73588C2semidirect
31. #73466C2semidirect
35. C2×C3×#126C22semidirect
47. C2×#898C22semidirect
48. C2×#897C22semidirect
49. C2×#897C22semidirect
50. C2×#896C22semidirect
60. C2×#892C22semidirect
61. C2×#888C22semidirect
62. C2×#886C22semidirect
63. C2×#885C22semidirect
64. C2×#885C22semidirect
67. C2×#67⋊C4C22semidirect
68. C2×#67⋊C4C22semidirect
71. C2×#878C22semidirect
74. C2×C4×Dic6C22semidirect
75. C3×#400C22semidirect
76. C3×#400C22semidirect
77. C3×#397C22semidirect
78. C3×#396C22semidirect
79. C3×#388C22semidirect
80. C3×#387C22semidirect
81. C3×#387C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4993C22semidirect
96. #4992C22semidirect
97. #4990C22semidirect
98. #4990C22semidirect
99. #4990C22semidirect
100. #4989C22semidirect
101. #4987C22semidirect
102. #4987C22semidirect
103. #4987C22semidirect
104. #4984C22semidirect
105. #4982C22semidirect
106. #4982C22semidirect
107. #4979C22semidirect
108. #4979C22semidirect
109. #4975C22semidirect
110. #4972C22semidirect
111. #4961C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
117. #4959C22semidirect
118. #4959C22semidirect
119. #4958C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
122. #4956C22semidirect
123. #4956C22semidirect
131. #4949C22semidirect
132. #4948C22semidirect
134. #4946C22semidirect
139. #4933C22semidirect
140. C4×Dic3⋊C4C22semidirect
141. #4928C22semidirect
142. #4677C22semidirect
143. #4676C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
146. #4675C22semidirect
147. #4674C22semidirect
148. #4674C22semidirect
149. #4673C22semidirect
150. #4673C22semidirect
151. #4673C22semidirect
158. #4670C22semidirect
159. #4670C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4670C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4669C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
175. #4667C22semidirect
176. #4666C22semidirect
177. #4666C22semidirect
178. #4666C22semidirect
181. #4664C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
203. #2481D3semidirect
372. #894D4semidirect
425. C2×#126C2×D3semidirect
462. #400C2×D3semidirect
463. #400C2×D3semidirect
476. #397C2×D3semidirect
481. #396C2×D3semidirect
526. #388C2×D3semidirect
530. #387C2×D3semidirect
531. #387C2×D3semidirect
1377. C22×C3#542semidirect
1652. C22#5710semidirect
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
C22×#8942
C3×#24812
#830942
#821712
#783722
#783642
#782322
#781402
#777012
#774652
#774262
#773342
#759262
#755112
#753982
#753882
#749892
#749562
#748912
#748872
#747282
#747272
#747092
#746592
#745952
#744532
#740492
#738962
#735882
#734662
#377153