Finite Group Databasebeta

← #10982815

Subgroups — #10982815

Order 768.

2590 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5545C211yesmaximal, characteristic, complemented
3C3×#2466C211yesmaximal, characteristic, complemented
4#83077C211yesmaximal, characteristic, complemented
5#82365C211yesmaximal, characteristic, complemented
6#77668C211yesmaximal, characteristic, complemented
7#77545C211yesmaximal, characteristic, complemented
8#77418C211yesmaximal, characteristic, complemented
9#77281C211yesmaximal, characteristic, complemented
10#77122C211yesmaximal, characteristic
11D3×#394C211yesmaximal, characteristic, complemented
12#76919C211yesmaximal, characteristic, complemented
13#76908C211yesmaximal, characteristic, complemented
14#76210C211yesmaximal, characteristic, complemented
15#76208C211yesmaximal, characteristic, complemented
16#76200C211yesmaximal, characteristic, complemented
17#76096C211yesmaximal, characteristic, complemented
18#75833C211yesmaximal, characteristic, complemented
19#75513C211yesmaximal, characteristic, complemented
20#75372C211yesmaximal, characteristic, complemented
21#75318C211yesmaximal, characteristic, complemented
22#75308C211yesmaximal, characteristic, complemented
23#75021C211yesmaximal, characteristic, complemented
24#74622C211yesmaximal, characteristic, complemented
25#74595C211yesmaximal, characteristic, complemented
26#74436C211yesmaximal, characteristic, complemented
27#74406C211yesmaximal, characteristic, complemented
28#74130C211yesmaximal, characteristic, complemented
29#74069C211yesmaximal, characteristic, complemented
30#73582C211yesmaximal, characteristic, complemented
31#73577C211yesmaximal, characteristic, complemented
32#35751—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic, complemented
35C2×C3×C4×D4C2211yescharacteristic
36C2×D4×Dic3C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41#5705—28no—
42#5545—28no—
43C2×#897C2211yescharacteristic, complemented
44C2×#897C2211yescharacteristic, complemented
45C2×#896C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic, complemented
49C2×#893C2211yescharacteristic
50C2×#893C2211yescharacteristic, complemented
51C2×#892C2211yescharacteristic
52C2×#892C2211yescharacteristic
53C2×#892C2211yescharacteristic, complemented
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×#886C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic, complemented
57C2×#883C2211yescharacteristic, complemented
58C2×#882C2211yescharacteristic
59C2×#882C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic, complemented
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#879C2211yescharacteristic, complemented
70C2×C4×D12C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C2×#872C2211yescharacteristic
73C2×#872C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic, complemented
75C3×#396C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic
77C3×#394C2211yescharacteristic
78C3×#389C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#381C2211yescharacteristic, complemented
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#5213C2211yescharacteristic, complemented
90#5213C2211yescharacteristic, complemented
91#5211C2211yescharacteristic, complemented
92C4×#217C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic, complemented
97#4991C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4990C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4987C2211yescharacteristic
106#4987C2211yescharacteristic
107#4987C2211yescharacteristic, complemented
108#4984C2211yescharacteristic, complemented
109#4984C2211yescharacteristic, complemented
110#4983C2211yescharacteristic, complemented
111#4983C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4978C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116Dic3×C4⋊C4C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic, complemented
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4952C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4950C2211yescharacteristic, complemented
132#4950C2211yescharacteristic, complemented
133#4950C2211yescharacteristic, complemented
134#4949C2211yescharacteristic, complemented
135#4948C2211yescharacteristic, complemented
136#4947C2211yescharacteristic, complemented
137#4946C2211yescharacteristic, complemented
138#4945C2211yescharacteristic, complemented
139#4944C2211yescharacteristic, complemented
140#4943C2211yescharacteristic, complemented
141Dic3×C22⋊C4C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4939C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×C4⋊Dic3C2211yescharacteristic, complemented
148C4×Dic3⋊C4C2211yescharacteristic, complemented
149#4929C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4674C2211yescharacteristic, complemented
154#4674C2211yescharacteristic, complemented
155#4674C2211yescharacteristic, complemented
156#4674C2211yescharacteristic, complemented
157#4672C2211yescharacteristic
158#4671C2211yescharacteristic
159#4670C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic, complemented
167#4667C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4664C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#518—31no—
192#2638—31no—
193#2630—31no—
194#2613—31no—
195#2602—31no—
196#2600—31no—
197#2485—31no—
198#2483—31no—
199#2468—31no—
200#2468—31no—
201#2466—31no—
202#2466D311yescharacteristic, complemented
203#2461—31no—
204#2459—31no—
205#2457—31no—
206#2455—31no—
207#2438—31no—
208#2437—31no—
209#2415—31no—
210#2413—31no—
211#2412—31no—
212#2412—31no—
213#2395—31no—
214#2392—31no—
215C2×#394—31no—
216#2359—31no—
217#2358—31no—
218#2344—31no—
219#2342—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×D3×D4—24no—
233C2×D3×D4—24no—
234C2×D3×D4—24no—
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
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×Dic6C2311yescharacteristic
250C3×#126—24no—
251C3×C4×D4—24no—
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊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×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282D4×Dic3—24no—
283C4×#67—24no—
284C4×#67—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×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#897—24no—
351#897—42no—
352#896—24no—
353#894—24no—
354#894—24no—
355#894—24no—
356#893—24no—
357#893—24no—
358#892—24no—
359#892—24no—
360#892—42no—
361D3×C4⋊C4—24no—
362#886—42no—
363#885—24no—
364#883—24no—
365#882—24no—
366#882—24no—
367#67⋊C4—24no—
368#67⋊C4—24no—
369#67⋊C4—42no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—24no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—42no—
374D3×C22⋊C4—42no—
375D3×C22⋊C4D418yescomplemented
376#879—24no—
377C4×D12—24no—
378C4×D12—24no—
379#872—24no—
380#872—24no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C23×D4—31no—
418#551—68no—
419C2×#126—31no—
420C2×#126C2×D311yescharacteristic, complemented
421C2×#124—31no—
422C2×#123—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×#120—31no—
431C2×#120—31no—
432#518—68no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×C4×D4—31no—
438C2×C4×D4—31no—
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4C2×D311yescharacteristic
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117—31no—
449C22×C4⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458#400—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397C2×D311yescharacteristic, complemented
472#396—31no—
473#396—31no—
474#396—31no—
475#396C2×D311yescharacteristic, complemented
476#395—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394C2×D311yescharacteristic
492#394C2×D311yescharacteristic
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#390—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389C2×D311yescharacteristic, complemented
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
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#388C2×D311yescharacteristic, complemented
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387C2×D311yescharacteristic, complemented
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#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385C2×D311yescharacteristic, complemented
547#385C2×D311yescharacteristic, complemented
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381C2×D311yescharacteristic, complemented
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562#379—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4C2×D311yescharacteristic, complemented
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3C2×D414yes—
589C23×D3#4114yes—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4C2411yescharacteristic
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
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—41no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646D3×D4—232no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
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—41no—
672C2×C4×D3—41no—
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—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3C2×D414yes—
687C2×C4×D3C2×D414yes—
688C2×C4×D3#4114yes—
689C2×Dic6—22no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4C2×D414yes—
711C3×C42—22no—
712C3×C42—22no—
713C3×C42—41no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217C2×D414yes—
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—22no—
744(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
755(C2×D3)⋊C4C2×D414yes—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C25—31no—
786C25—31no—
787C22×Q8—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—64no—
797C22×D4—64no—
798C22×D4—64no—
799C22×D4C22×D311yescharacteristic
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4C22×D311yescharacteristic
813C23×C4C22×D311yescharacteristic
814#126—24no—
815#126—64no—
816#124—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—122no—
822C22⋊Q8—64no—
823C22⋊Q8—64no—
824C22⋊Q8—122no—
825#120—64no—
826#120—64no—
827C4×D4—24no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—64no—
836C4×D4—64no—
837C4×D4—122no—
838#117—64no—
839#117—64no—
840#117—64no—
841#117—64no—
842#117—122no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
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—64no—
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—38no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
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—64no—
918C2×C22⋊C4—64no—
919C2×C22⋊C4—64no—
920C2×C22⋊C4—64no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—122no—
923C2×C22⋊C4—122no—
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
944C2×C42C22×D311yescharacteristic
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
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#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3C22×D412yes—
994C23×C3C2×#4112yes—
995C23×C3C2511yescharacteristic
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—28no—
1013C22×D3—28no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—82no—
1026C22×D3—82no—
1027C22×D3—82no—
1028C22×D3—82no—
1029C22×D3—82no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3C22×D412yes—
1034C22×D3C22×D412yes—
1035C22×D3C2×#4112yes—
1036C22×D3C2×#4112yes—
1037C22×D3C2×#4112yes—
1038C3×D4—28no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
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—82no—
1075C2×C3×C4—82no—
1076C2×C3×C4C22×D412yes—
1077C2×C3×C4C22×D412yes—
1078C2×C3×C4C2×#4112yes—
1079C2×C3×C4H(5,𝔽2)12yes—
1080#67—28no—
1081#67—28no—
1082#67—44no—
1083#67—82no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
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—82no—
1118C2×Dic3—82no—
1119C2×Dic3C22×D412yes—
1120C2×Dic3C22×D412yes—
1121C2×Dic3C2×#4112yes—
1122D12—28no—
1123D12—44no—
1124D12—44no—
1125D12—82no—
1126C4×D3—28no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—82no—
1132C4×D3—82no—
1133C4×D3—82no—
1134C4×D3—82no—
1135C4×D3—82no—
1136Dic6—82no—
1137C24—31no—
1138C24—31no—
1139C24—31no—
1140C24—34no—
1141C24—34no—
1142C24—31no—
1143C24—62no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—121no—
1148C24—121no—
1149C24—121no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24C23×D311yescharacteristic
1156C24C23×D311yescharacteristic
1157C2×Q8—62no—
1158C2×Q8—121no—
1159C2×Q8—121no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—632no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—34no—
1194C22×C4—34no—
1195C22×C4—34no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—34no—
1293C22⋊C4—34no—
1294C22⋊C4—34no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
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—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4D3×D414yes—
1337C42—22no—
1338C42—22no—
1339C42—41no—
1340C42—62no—
1341C42—62no—
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—121no—
1347C42—121no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3C23×D411yescharacteristic
1363C22×C3C22×#4111yescharacteristic
1364C22×C3C22×#4111yescharacteristic
1365C22×C3C2×H(5,𝔽2)11yescharacteristic
1366C22×C3#58511yescharacteristic
1367C22×C3#58511yescharacteristic
1368C22×C3#58511yescharacteristic
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—88no—
1397C2×D3—88no—
1398C2×D3#52514yes—
1399C3×C4—22no—
1400C3×C4—22no—
1401C3×C4—22no—
1402C3×C4—22no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412Dic3—22no—
1413Dic3—22no—
1414Dic3—22no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—32no—
1437C23—32no—
1438C23—32no—
1439C23—32no—
1440C23—32no—
1441C23—68no—
1442C23—68no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23—124no—
1470C23—242no—
1471C23—242no—
1472C23—242no—
1473C23—242no—
1474C23—242no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23C2×D3×D412yes—
1479C23D3×#4112yes—
1480C23C24×D311yescharacteristic
1481Q8—242no—
1482D4—28no—
1483D4—68no—
1484D4—68no—
1485D4—68no—
1486D4—124no—
1487D4—124no—
1488D4—124no—
1489D4—242no—
1490D4—242no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
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—32no—
1527C2×C4—32no—
1528C2×C4—32no—
1529C2×C4—68no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
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—82no—
1564C2×C4—82no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—242no—
1570C2×C4—242no—
1571C2×C4—242no—
1572C2×C4—242no—
1573C2×C4—242no—
1574C2×C4—242no—
1575C2×C4—242no—
1576C2×C4C2×D3×D412yes—
1577C2×C4C2×D3×D412yes—
1578C2×C4D3×#4112yes—
1579C2×C4#100912yes—
1580C2×C3—42no—
1581C2×C3—42no—
1582C2×C3C2×#52511yescharacteristic
1583C2×C3#348511yescharacteristic
1584C2×C3#349111yescharacteristic
1585C2×C3#349411yescharacteristic
1586C2×C3#349611yescharacteristic
1587C2×C3#350511yescharacteristic
1588C2×C3#351011yescharacteristic
1589D3—24no—
1590D3—42no—
1591D3—42no—
1592D3—81no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—34no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—248no—
1636C22—248no—
1637C22C22×D3×D411yescharacteristic
1638C22C2×D3×#4111yescharacteristic
1639C22C2×D3×#4111yescharacteristic
1640C22C2×#100911yescharacteristic
1641C22#596411yescharacteristic
1642C22#596611yescharacteristic
1643C22#596811yescharacteristic
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—62no—
1658C4—62no—
1659C4—62no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C3#3575111yescharacteristic, complemented, Sylow
1670C2—42no—
1671C2—42no—
1672C2—64no—
1673C2—122no—
1674C2—122no—
1675C2—241no—
1676C2D3×#52511yescharacteristic
1677C2#8615811yescharacteristic
1678C2#8645311yescharacteristic
1679C2#8666311yescharacteristic
1680C2#8670211yescharacteristic
1681C2#8687711yescharacteristic
1682C2#8698411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2466C2
prime radical#77122C2
hypercenter#2466D3
hypocenterC3#35751
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2466

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5545C2semidirect
3. C3×#2466C2semidirect
4. #83077C2semidirect
5. #82365C2semidirect
6. #77668C2semidirect
7. #77545C2semidirect
8. #77418C2semidirect
9. #77281C2semidirect
11. D3×#394C2semidirect
12. #76919C2semidirect
13. #76908C2semidirect
14. #76210C2semidirect
15. #76208C2semidirect
16. #76200C2semidirect
17. #76096C2semidirect
18. #75833C2semidirect
19. #75513C2semidirect
20. #75372C2semidirect
21. #75318C2semidirect
22. #75308C2semidirect
23. #75021C2semidirect
24. #74622C2semidirect
25. #74595C2semidirect
26. #74436C2semidirect
27. #74406C2semidirect
28. #74130C2semidirect
29. #74069C2semidirect
30. #73582C2semidirect
31. #73577C2semidirect
34. C2×C3×#126C22semidirect
43. C2×#897C22semidirect
44. C2×#897C22semidirect
48. C2×#894C22semidirect
50. C2×#893C22semidirect
53. C2×#892C22semidirect
55. C2×#886C22semidirect
56. C2×#885C22semidirect
57. C2×#883C22semidirect
62. C2×#67⋊C4C22semidirect
69. C2×#879C22semidirect
73. C2×#872C22semidirect
74. C3×#397C22semidirect
75. C3×#396C22semidirect
78. C3×#389C22semidirect
79. C3×#389C22semidirect
80. C3×#388C22semidirect
81. C3×#387C22semidirect
82. C3×#387C22semidirect
83. C3×#385C22semidirect
84. C3×#385C22semidirect
85. C3×#381C22semidirect
86. C3×C4×C22⋊C4C22semidirect
89. #5213C22semidirect
90. #5213C22semidirect
91. #5211C22semidirect
92. C4×#217C22semidirect
93. #4994C22semidirect
96. #4991C22semidirect
97. #4991C22semidirect
98. #4990C22semidirect
99. #4990C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
107. #4987C22semidirect
108. #4984C22semidirect
109. #4984C22semidirect
110. #4983C22semidirect
111. #4983C22semidirect
112. #4982C22semidirect
113. #4978C22semidirect
114. #4978C22semidirect
115. #4976C22semidirect
116. Dic3×C4⋊C4C22semidirect
119. #4961C22semidirect
126. #4959C22semidirect
129. #4952C22semidirect
130. #4951C22semidirect
131. #4950C22semidirect
132. #4950C22semidirect
133. #4950C22semidirect
134. #4949C22semidirect
135. #4948C22semidirect
136. #4947C22semidirect
137. #4946C22semidirect
138. #4945C22semidirect
139. #4944C22semidirect
140. #4943C22semidirect
141. Dic3×C22⋊C4C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
144. #4939C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×C4⋊Dic3C22semidirect
148. C4×Dic3⋊C4C22semidirect
149. #4929C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4674C22semidirect
154. #4674C22semidirect
155. #4674C22semidirect
156. #4674C22semidirect
159. #4670C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
166. #4668C22semidirect
167. #4667C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
171. #4666C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
180. #4664C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4655C22semidirect
186. #4655C22semidirect
187. #4655C22semidirect
188. #4654C22semidirect
189. #4647C22semidirect
202. #2466D3semidirect
375. D3×C22⋊C4D4semidirect
420. C2×#126C2×D3semidirect
471. #397C2×D3semidirect
475. #396C2×D3semidirect
504. #389C2×D3semidirect
505. #389C2×D3semidirect
519. #388C2×D3semidirect
526. #387C2×D3semidirect
527. #387C2×D3semidirect
546. #385C2×D3semidirect
547. #385C2×D3semidirect
554. #381C2×D3semidirect
572. C4×C22⋊C4C2×D3semidirect
1669. C3#35751semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#55452
C3×#24662
#830772
#823652
#776682
#775452
#774182
#772812
#771222
D3×#3942
#769192
#769082
#762102
#762082
#762002
#760962
#758332
#755132
#753722
#753182
#753082
#750212
#746222
#745952
#744362
#744062
#741302
#740692
#735822
#735772
#357513