Finite Group Databasebeta

← #11028736

Subgroups — #11028736

Order 768.

2520 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C211yesmaximal, characteristic, complemented
2C2×#5556C211yesmaximal, characteristic, complemented
3C3×#2457C211yesmaximal, characteristic, complemented
4#82854C211yesmaximal, characteristic, complemented
5#82412C211yesmaximal, characteristic, complemented
6#78239C211yesmaximal, characteristic, complemented
7#78152C211yesmaximal, characteristic, complemented
8#77424C211yesmaximal, characteristic, complemented
9#77350C211yesmaximal, characteristic, complemented
10#77110C211yesmaximal, characteristic, complemented
11#77026C211yesmaximal, characteristic, complemented
12#76760C211yesmaximal, characteristic
13#76725C211yesmaximal, characteristic, complemented
14#75884C211yesmaximal, characteristic, complemented
15#75860C211yesmaximal, characteristic, complemented
16#75843C211yesmaximal, characteristic, complemented
17#75832C211yesmaximal, characteristic, complemented
18#75357C211yesmaximal, characteristic, complemented
19#75335C211yesmaximal, characteristic, complemented
20#74936C211yesmaximal, characteristic, complemented
21#74876C211yesmaximal, characteristic, complemented
22#74874C211yesmaximal, characteristic, complemented
23#74804C211yesmaximal, characteristic, complemented
24#74797C211yesmaximal, characteristic, complemented
25#74757C211yesmaximal, characteristic, complemented
26#74130C211yesmaximal, characteristic, complemented
27#74094C211yesmaximal, characteristic, complemented
28#74040C211yesmaximal, characteristic, complemented
29#73911C211yesmaximal, characteristic, complemented
30#73598C211yesmaximal, characteristic, complemented
31#73561C211yesmaximal, characteristic, complemented
32#37842—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C2×#937C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#935C2211yescharacteristic
40C2×#935C2211yescharacteristic, complemented
41C2×#929C2211yescharacteristic
42C2×#929C2211yescharacteristic, complemented
43C2×C4×#67C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C2×#924C2211yescharacteristic, complemented
46D3×#123—28no—
47#5556—28no—
48C2×#898C2211yescharacteristic, complemented
49C2×#896C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×D3×C4⋊C4C2211yescharacteristic
53C2×D3×C4⋊C4C2211yescharacteristic
54C2×#886C2211yescharacteristic
55C2×#885C2211yescharacteristic, complemented
56C2×#883C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×#877C2211yescharacteristic, complemented
66C2×#876C2211yescharacteristic, complemented
67C2×#872C2211yescharacteristic
68C2×#872C2211yescharacteristic
69C3×#400C2211yescharacteristic, complemented
70C3×#396C2211yescharacteristic, complemented
71C3×#394C2211yescharacteristic, complemented
72C3×#392C2211yescharacteristic
73C3×#388C2211yescharacteristic, complemented
74C3×#388C2211yescharacteristic, complemented
75C3×#387C2211yescharacteristic, complemented
76C3×#386C2211yescharacteristic
77C3×#386C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic, complemented
79C3×#381C2211yescharacteristic, complemented
80C3×#380C2211yescharacteristic, complemented
81C3×C4×C22⋊C4C2211yescharacteristic, complemented
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic
84#5222C2211yescharacteristic
85#5222C2211yescharacteristic, complemented
86#5221C2211yescharacteristic, complemented
87#5220C2211yescharacteristic
88#5220C2211yescharacteristic, complemented
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic, complemented
91#5212C2211yescharacteristic, complemented
92#5211C2211yescharacteristic, complemented
93#5210C2211yescharacteristic, complemented
94C4×#217C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4993C2211yescharacteristic, complemented
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic, complemented
100#4987C2211yescharacteristic
101#4987C2211yescharacteristic, complemented
102#4986C2211yescharacteristic, complemented
103#4985C2211yescharacteristic, complemented
104#4984C2211yescharacteristic, complemented
105#4982C2211yescharacteristic, complemented
106#4978C2211yescharacteristic, complemented
107#4976C2211yescharacteristic, complemented
108#4972C2211yescharacteristic, complemented
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4960C2211yescharacteristic
112#4958C2211yescharacteristic
113#4957C2211yescharacteristic, complemented
114#4956C2211yescharacteristic
115#4956C2211yescharacteristic
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic, complemented
118#4956C2211yescharacteristic, complemented
119#4956C2211yescharacteristic, complemented
120#4956C2211yescharacteristic, complemented
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4953C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4952C2211yescharacteristic, complemented
129#4951C2211yescharacteristic, complemented
130#4950C2211yescharacteristic, complemented
131#4950C2211yescharacteristic, complemented
132#4949C2211yescharacteristic, complemented
133#4948C2211yescharacteristic, complemented
134#4948C2211yescharacteristic, complemented
135#4948C2211yescharacteristic, complemented
136#4947C2211yescharacteristic, complemented
137#4946C2211yescharacteristic, complemented
138#4945C2211yescharacteristic, complemented
139#4945C2211yescharacteristic, complemented
140#4944C2211yescharacteristic, complemented
141#4944C2211yescharacteristic, complemented
142#4944C2211yescharacteristic, complemented
143#4942C2211yescharacteristic, complemented
144#4942C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4674C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4670C2211yescharacteristic, complemented
157#4669C2211yescharacteristic, complemented
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4667C2211yescharacteristic, complemented
164#4667C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic, complemented
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4664C2211yescharacteristic
173#4664C2211yescharacteristic
174#4664C2211yescharacteristic
175#4664C2211yescharacteristic
176#4664C2211yescharacteristic
177#4661C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4659C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#123—31no—
192#2849—31no—
193#2706—31no—
194#2706—31no—
195#2695—31no—
196#2695—31no—
197#2693—31no—
198#2693—31no—
199#2687—31no—
200#2687—31no—
201#2626—31no—
202#2613—31no—
203#2557—31no—
204#2557—31no—
205#2553—31no—
206#2553—31no—
207#2503—31no—
208#2486—31no—
209#2484—31no—
210#2483—31no—
211#2470—31no—
212#2470—31no—
213#2457—31no—
214#2457D311yescharacteristic, complemented
215#2413—31no—
216#2412—31no—
217#2342—31no—
218#2321—31no—
219#2308—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×D4—24no—
237C2×D3×D4—24no—
238C2×D3×D4—42no—
239C22×D12C2311yescharacteristic
240C22×C4×D3—24no—
241C22×C4×D3—24no—
242C22×C4×D3—42no—
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—24no—
254C3×C4×D4—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289#937—24no—
290#937—24no—
291#935—24no—
292#935—24no—
293#929—24no—
294#929—24no—
295C4×#67—24no—
296C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330#924—24no—
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×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353#898—24no—
354#896—24no—
355#894—24no—
356#894—24no—
357D3×C4⋊C4—24no—
358D3×C4⋊C4—24no—
359#886—24no—
360#885—24no—
361#883—24no—
362#883—24no—
363#883—24no—
364#883—42no—
365#883—42no—
366D3×C22⋊C4—24no—
367D3×C22⋊C4—24no—
368D3×C22⋊C4—42no—
369D3×C22⋊C4D418yescomplemented
370#877—24no—
371#876—24no—
372#872—24no—
373#872—42no—
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
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
414C23×D4—31no—
415C24×C4—31no—
416#551—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#124—31no—
420C2×#123—31no—
421C2×#123—31no—
422C2×#123—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—68no—
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#120—31no—
437C2×#120—31no—
438C2×C4×D4—31no—
439C2×C4×D4C2×D311yescharacteristic, complemented
440C2×#117—31no—
441C2×#117—31no—
442C2×#117—31no—
443C22×C4⋊C4—31no—
444C22×C4⋊C4—31no—
445C22×C22⋊C4—31no—
446C22×C22⋊C4—31no—
447C22×C22⋊C4—31no—
448C22×C22⋊C4—31no—
449C22×C22⋊C4—31no—
450#400—31no—
451#400—31no—
452#400—31no—
453#400—31no—
454#400—31no—
455#400C2×D311yescharacteristic, complemented
456#399—31no—
457#399—31no—
458#398—31no—
459#398—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#397—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396C2×D311yescharacteristic, complemented
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394C2×D311yescharacteristic, complemented
484#393—31no—
485#393—31no—
486#392—31no—
487#392—31no—
488#392—31no—
489#392C2×D311yescharacteristic
490#391—31no—
491#391—31no—
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388C2×D311yescharacteristic, complemented
507#388C2×D311yescharacteristic, complemented
508#387—31no—
509#387—31no—
510#387—31no—
511#387C2×D311yescharacteristic, complemented
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386C2×D311yescharacteristic
527#386C2×D311yescharacteristic, complemented
528#386C2×D311yescharacteristic, complemented
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#382—31no—
541#382—31no—
542#381—31no—
543#381—31no—
544#381—31no—
545#381—31no—
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381C2×D311yescharacteristic, complemented
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380C2×D311yescharacteristic, complemented
560#379—31no—
561#379—31no—
562#379—31no—
563#379—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3C2×D414yes—
587C23×D3#4114yes—
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
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
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—22no—
657C2×D12—22no—
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—22no—
672C2×C4×D3—416no—
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×D3C2×D414yes—
686C2×C4×D3C2×D414yes—
687C2×Dic6—22no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4—41no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4C2×D414yes—
707C3×C42—22no—
708C3×C42—41no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—41no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722#217—41no—
723#217C2×D414yes—
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—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4C2×D414yes—
748(C2×D3)⋊C4C2×D414yes—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—41no—
777C4×Dic3—41no—
778C4×Dic3—41no—
779C25—31no—
780C25—31no—
781C22×Q8—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—64no—
789C22×D4—64no—
790C22×D4—122no—
791C22×D4C22×D311yescharacteristic
792C22×D4C22×D311yescharacteristic
793C22×D4C22×D311yescharacteristic
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—64no—
806C23×C4—64no—
807C23×C4—122no—
808C23×C4C22×D311yescharacteristic
809C23×C4C22×D311yescharacteristic
810C23×C4C22×D311yescharacteristic
811#126—64no—
812#126—64no—
813#124—64no—
814#123—24no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—64no—
822#123—64no—
823#123—64no—
824#123—64no—
825#123—122no—
826#123—122no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829#120—64no—
830#120—64no—
831C4×D4—24no—
832C4×D4—64no—
833#117—64no—
834#117—64no—
835#117—122no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
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—64no—
862C2×C4⋊C4—64no—
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—38no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
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—64no—
910C2×C22⋊C4—64no—
911C2×C22⋊C4—64no—
912C2×C22⋊C4—122no—
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
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#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
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×C3C22×D412yes—
992C23×C3C2×#4112yes—
993C23×C3C2511yescharacteristic
994C22×D3—21no—
995C22×D3—21no—
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—28no—
1011C22×D3—28no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3—82no—
1021C22×D3—82no—
1022C22×D3—82no—
1023C22×D3—82no—
1024C22×D3C22×D412yes—
1025C22×D3C22×D412yes—
1026C22×D3C2×#4112yes—
1027C22×D3C2×#4112yes—
1028C22×D3H(5,𝔽2)12yes—
1029C3×D4—44no—
1030C3×D4—44no—
1031C3×D4—82no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
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—44no—
1067C2×C3×C4—82no—
1068C2×C3×C4—82no—
1069C2×C3×C4C22×D412yes—
1070C2×C3×C4C22×D412yes—
1071#67—44no—
1072#67—44no—
1073#67—44no—
1074#67—82no—
1075#67—82no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
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—44no—
1114C2×Dic3—44no—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C22×D412yes—
1117D12—44no—
1118C4×D3—28no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125C4×D3—82no—
1126C4×D3—82no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—34no—
1132C24—34no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—121no—
1138C24—121no—
1139C24—121no—
1140C24—121no—
1141C24—121no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24C23×D311yescharacteristic
1146C24C23×D311yescharacteristic
1147C24C23×D311yescharacteristic
1148C2×Q8—62no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
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—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—1216no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—34no—
1186C22×C4—34no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
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—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
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—1216no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—34no—
1281C22⋊C4—34no—
1282C22⋊C4—34no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
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—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4D3×D414yes—
1329C42—22no—
1330C42—41no—
1331C42—62no—
1332C42—62no—
1333C42—121no—
1334C42—121no—
1335C42—121no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3C23×D411yescharacteristic
1358C22×C3C22×#4111yescharacteristic
1359C22×C3C2×H(5,𝔽2)11yescharacteristic
1360C22×C3#58511yescharacteristic
1361C22×C3#58511yescharacteristic
1362C22×C3#58511yescharacteristic
1363C22×C3#58511yescharacteristic
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—416no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—88no—
1386C2×D3#54614yes—
1387C3×C4—22no—
1388C3×C4—22no—
1389C3×C4—41no—
1390C3×C4—41no—
1391C3×C4—41no—
1392C3×C4—41no—
1393C3×C4—41no—
1394C3×C4—41no—
1395C3×C4—41no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399Dic3—22no—
1400Dic3—22no—
1401Dic3—41no—
1402Dic3—41no—
1403Dic3—41no—
1404Dic3—41no—
1405Dic3—41no—
1406Dic3—41no—
1407Dic3—41no—
1408Dic3—41no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—32no—
1432C23—32no—
1433C23—32no—
1434C23—32no—
1435C23—32no—
1436C23—68no—
1437C23—68no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—124no—
1455C23—124no—
1456C23—124no—
1457C23—124no—
1458C23—124no—
1459C23—124no—
1460C23—124no—
1461C23—124no—
1462C23—242no—
1463C23—242no—
1464C23—242no—
1465C23—242no—
1466C23C2×D3×D412yes—
1467C23D3×#4112yes—
1468C23C24×D311yescharacteristic
1469Q8—242no—
1470D4—44no—
1471D4—44no—
1472D4—82no—
1473D4—124no—
1474D4—124no—
1475D4—124no—
1476D4—124no—
1477D4—242no—
1478D4—242no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
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—32no—
1514C2×C4—32no—
1515C2×C4—44no—
1516C2×C4—68no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
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—82no—
1555C2×C4—82no—
1556C2×C4—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—124no—
1562C2×C4—124no—
1563C2×C4—124no—
1564C2×C4—242no—
1565C2×C4—242no—
1566C2×C4C2×D3×D412yes—
1567C2×C4C2×D3×D412yes—
1568C2×C3—42no—
1569C2×C3—42no—
1570C2×C3—81no—
1571C2×C3#344911yescharacteristic
1572C2×C3C2×#54611yescharacteristic
1573C2×C3#348511yescharacteristic
1574C2×C3#349111yescharacteristic
1575C2×C3#349111yescharacteristic
1576C2×C3#353311yescharacteristic
1577C2×C3#353311yescharacteristic
1578D3—24no—
1579D3—42no—
1580D3—42no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—34no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—62no—
1604C22—62no—
1605C22—62no—
1606C22—62no—
1607C22—62no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—1216no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—248no—
1625C22C22×D3×D411yescharacteristic
1626C22C2×D3×#4111yescharacteristic
1627C22#596411yescharacteristic
1628C22#596411yescharacteristic
1629C22#596411yescharacteristic
1630C22D3×H(5,𝔽2)11yescharacteristic
1631C22#596611yescharacteristic
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—62no—
1645C4—62no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C3#3784211yescharacteristic, complemented, Sylow
1658C2—42no—
1659C2—42no—
1660C2—64no—
1661C2—81no—
1662C2—122no—
1663C2—122no—
1664C2#8603511yescharacteristic
1665C2#8615511yescharacteristic
1666C2#8648911yescharacteristic
1667C2D3×#54611yescharacteristic
1668C2#8666311yescharacteristic
1669C2#8681611yescharacteristic
1670C2#8691411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2457C2
prime radical#76760C2
hypercenter#2457D3
hypocenterC3#37842
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×D3×#123C2semidirect
2. C2×#5556C2semidirect
3. C3×#2457C2semidirect
4. #82854C2semidirect
5. #82412C2semidirect
6. #78239C2semidirect
7. #78152C2semidirect
8. #77424C2semidirect
9. #77350C2semidirect
10. #77110C2semidirect
11. #77026C2semidirect
13. #76725C2semidirect
14. #75884C2semidirect
15. #75860C2semidirect
16. #75843C2semidirect
17. #75832C2semidirect
18. #75357C2semidirect
19. #75335C2semidirect
20. #74936C2semidirect
21. #74876C2semidirect
22. #74874C2semidirect
23. #74804C2semidirect
24. #74797C2semidirect
25. #74757C2semidirect
26. #74130C2semidirect
27. #74094C2semidirect
28. #74040C2semidirect
29. #73911C2semidirect
30. #73598C2semidirect
31. #73561C2semidirect
36. C2×C3×C4×D4C22semidirect
40. C2×#935C22semidirect
42. C2×#929C22semidirect
45. C2×#924C22semidirect
48. C2×#898C22semidirect
55. C2×#885C22semidirect
65. C2×#877C22semidirect
66. C2×#876C22semidirect
69. C3×#400C22semidirect
70. C3×#396C22semidirect
71. C3×#394C22semidirect
73. C3×#388C22semidirect
74. C3×#388C22semidirect
75. C3×#387C22semidirect
77. C3×#386C22semidirect
78. C3×#386C22semidirect
79. C3×#381C22semidirect
80. C3×#380C22semidirect
81. C3×C4×C22⋊C4C22semidirect
85. #5222C22semidirect
86. #5221C22semidirect
88. #5220C22semidirect
90. #5213C22semidirect
91. #5212C22semidirect
92. #5211C22semidirect
93. #5210C22semidirect
94. C4×#217C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4993C22semidirect
99. #4989C22semidirect
101. #4987C22semidirect
102. #4986C22semidirect
103. #4985C22semidirect
104. #4984C22semidirect
105. #4982C22semidirect
106. #4978C22semidirect
107. #4976C22semidirect
108. #4972C22semidirect
113. #4957C22semidirect
117. #4956C22semidirect
118. #4956C22semidirect
119. #4956C22semidirect
120. #4956C22semidirect
125. #4953C22semidirect
126. #4952C22semidirect
127. #4952C22semidirect
128. #4952C22semidirect
129. #4951C22semidirect
130. #4950C22semidirect
131. #4950C22semidirect
132. #4949C22semidirect
133. #4948C22semidirect
134. #4948C22semidirect
135. #4948C22semidirect
136. #4947C22semidirect
137. #4946C22semidirect
138. #4945C22semidirect
139. #4945C22semidirect
140. #4944C22semidirect
141. #4944C22semidirect
142. #4944C22semidirect
143. #4942C22semidirect
144. #4942C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. #4933C22semidirect
149. #4928C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4674C22semidirect
153. #4674C22semidirect
154. #4673C22semidirect
156. #4670C22semidirect
157. #4669C22semidirect
160. #4668C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4667C22semidirect
164. #4667C22semidirect
165. #4667C22semidirect
167. #4666C22semidirect
177. #4661C22semidirect
178. #4660C22semidirect
179. #4659C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4653C22semidirect
186. #4650C22semidirect
187. #4650C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2457D3semidirect
369. D3×C22⋊C4D4semidirect
439. C2×C4×D4C2×D3semidirect
455. #400C2×D3semidirect
477. #396C2×D3semidirect
483. #394C2×D3semidirect
506. #388C2×D3semidirect
507. #388C2×D3semidirect
511. #387C2×D3semidirect
527. #386C2×D3semidirect
528. #386C2×D3semidirect
550. #381C2×D3semidirect
559. #380C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
1657. C3#37842semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×#55562
C3×#24572
#828542
#824122
#782392
#781522
#774242
#773502
#771102
#770262
#767602
#767252
#758842
#758602
#758432
#758322
#753572
#753352
#749362
#748762
#748742
#748042
#747972
#747572
#741302
#740942
#740402
#739112
#735982
#735612
#378423