Finite Group Databasebeta

← #11028760

Subgroups — #11028760

Order 768.

2492 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5708C211yesmaximal, characteristic, complemented
2C2×D3×#123C211yesmaximal, characteristic, complemented
3C3×#2705C211yesmaximal, characteristic, complemented
4#83094C211yesmaximal, characteristic, complemented
5#82883C211yesmaximal, characteristic, complemented
6#78105C211yesmaximal, characteristic, complemented
7#78063C211yesmaximal, characteristic, complemented
8#77424C211yesmaximal, characteristic, complemented
9#77415C211yesmaximal, characteristic, complemented
10#77318C211yesmaximal, characteristic, complemented
11#77300C211yesmaximal, characteristic, complemented
12#77119C211yesmaximal, characteristic, complemented
13#77109C211yesmaximal, characteristic, complemented
14#77017C211yesmaximal, characteristic, complemented
15#76948C211yesmaximal, characteristic, complemented
16#76760C211yesmaximal, characteristic
17#76685C211yesmaximal, characteristic, complemented
18#76429C211yesmaximal, characteristic, complemented
19#76428C211yesmaximal, characteristic, complemented
20#76354C211yesmaximal, characteristic, complemented
21#76326C211yesmaximal, characteristic, complemented
22#76200C211yesmaximal, characteristic, complemented
23#76114C211yesmaximal, characteristic, complemented
24#75890C211yesmaximal, characteristic, complemented
25#75601C211yesmaximal, characteristic, complemented
26#75335C211yesmaximal, characteristic, complemented
27#74989C211yesmaximal, characteristic, complemented
28#74936C211yesmaximal, characteristic, complemented
29#74807C211yesmaximal, characteristic, complemented
30#73962C211yesmaximal, characteristic, complemented
31#73862C211yesmaximal, characteristic, complemented
32#37843—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#935C2211yescharacteristic
40C2×#929C2211yescharacteristic
41#5708—28no—
42D3×#123—28no—
43C2×#896C2211yescharacteristic
44C2×#894C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#892C2211yescharacteristic
47C2×#892C2211yescharacteristic
48C2×#892C2211yescharacteristic
49C2×D3×C4⋊C4C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic
51C2×#890C2211yescharacteristic, complemented
52C2×#889C2211yescharacteristic, complemented
53C2×#889C2211yescharacteristic, complemented
54C2×#886C2211yescharacteristic
55C2×#883C2211yescharacteristic
56C2×#883C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×#879C2211yescharacteristic, complemented
65C2×#878C2211yescharacteristic, complemented
66C2×#877C2211yescharacteristic, complemented
67C2×#872C2211yescharacteristic
68C2×C4×Dic6C2211yescharacteristic, complemented
69C3×#399C2211yescharacteristic, complemented
70C3×#396C2211yescharacteristic, complemented
71C3×#396C2211yescharacteristic, complemented
72C3×#394C2211yescharacteristic, complemented
73C3×#394C2211yescharacteristic, complemented
74C3×#392C2211yescharacteristic
75C3×#390C2211yescharacteristic
76C3×#390C2211yescharacteristic, complemented
77C3×#389C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic, complemented
81C3×#380C2211yescharacteristic, complemented
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic
84#5222C2211yescharacteristic
85#5221C2211yescharacteristic
86#5221C2211yescharacteristic, complemented
87#5220C2211yescharacteristic, complemented
88#5220C2211yescharacteristic, complemented
89#5220C2211yescharacteristic, complemented
90#5212C2211yescharacteristic, complemented
91#5210C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4993C2211yescharacteristic, complemented
97#4993C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4990C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4988C2211yescharacteristic
105#4987C2211yescharacteristic
106#4987C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4984C2211yescharacteristic, complemented
109#4984C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4981C2211yescharacteristic, complemented
113#4978C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116Dic3×C4⋊C4C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic
122#4958C2211yescharacteristic, complemented
123#4958C2211yescharacteristic, complemented
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4953C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4951C2211yescharacteristic, complemented
144#4950C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4944C2211yescharacteristic, complemented
158Dic3×C22⋊C4C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic
164C4×C4⋊Dic3C2211yescharacteristic, complemented
165#4933C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4673C2211yescharacteristic, complemented
170#4672C2211yescharacteristic
171#4670C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4664C2211yescharacteristic
181#4664C2211yescharacteristic
182#4664C2211yescharacteristic
183#4660C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#552—31no—
191C22×#123—31no—
192#2849—31no—
193#2707—31no—
194#2707—31no—
195#2705—31no—
196#2705D311yescharacteristic, complemented
197#2696—31no—
198#2696—31no—
199#2694—31no—
200#2694—31no—
201#2626—31no—
202#2613—31no—
203#2561—31no—
204#2558—31no—
205#2558—31no—
206#2554—31no—
207#2554—31no—
208#2534—31no—
209#2484—31no—
210#2482—31no—
211#2471—31no—
212#2471—31no—
213#2458—31no—
214#2458—31no—
215#2413—31no—
216#2411—31no—
217#2344—31no—
218#2321—31no—
219#2309—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×D3×D4—24no—
235C2×D3×D4—24no—
236C2×D3×D4—42no—
237C22×D12C2311yescharacteristic
238C22×C4×D3—24no—
239C22×C4×D3—24no—
240C22×C4×D3—42no—
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#126—24no—
250C3×#123—24no—
251C2×C3×C4⋊C4C2311yescharacteristic
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×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×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
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
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#937—24no—
292#937—42no—
293#935—24no—
294#929—24no—
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×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#896—24no—
357#894—24no—
358#894—24no—
359#892—24no—
360#892—42no—
361#892—42no—
362D3×C4⋊C4—24no—
363D3×C4⋊C4D418yescomplemented
364#890—24no—
365#889—24no—
366#889—24no—
367#886—24no—
368#883—24no—
369#883—24no—
370#883—24no—
371#883—24no—
372#883—42no—
373#67⋊C4—24no—
374D3×C22⋊C4—24no—
375D3×C22⋊C4—24no—
376D3×C22⋊C4—24no—
377#879—24no—
378#878—24no—
379#877—24no—
380#872—24no—
381C4×Dic6—24no—
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#552—68no—
417C2×#126—31no—
418C2×#126C2×D311yescharacteristic, complemented
419C2×#125—31no—
420C2×#125—31no—
421C2×#125—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×Q8—31no—
439C2×C4×D4—31no—
440C2×#117—31no—
441C2×#117—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C22×C4⋊C4—31no—
446C22×C4⋊C4—31no—
447C22×C22⋊C4—31no—
448C22×C22⋊C4—31no—
449C22×C22⋊C4—31no—
450#400—31no—
451#400—31no—
452#399—31no—
453#399—31no—
454#399—31no—
455#399C2×D311yescharacteristic, complemented
456#398—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#396—31no—
465#396—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#396C2×D311yescharacteristic, complemented
473#396C2×D311yescharacteristic, complemented
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394C2×D311yescharacteristic, complemented
481#394C2×D311yescharacteristic, complemented
482#393—31no—
483#393—31no—
484#393—31no—
485#393—31no—
486#392—31no—
487#392—31no—
488#392—31no—
489#392C2×D311yescharacteristic
490#390—31no—
491#390—31no—
492#390—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390C2×D311yescharacteristic
501#390C2×D311yescharacteristic, complemented
502#389—31no—
503#389—31no—
504#389—31no—
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#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388C2×D311yescharacteristic, complemented
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387C2×D311yescharacteristic, complemented
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386C2×D311yescharacteristic, complemented
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380C2×D311yescharacteristic, complemented
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562#379—31no—
563#379—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—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3#4114yes—
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
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—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
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—41no—
634C22×Dic3—41no—
635C22×Dic3—41no—
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649D3×D4—416no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—41no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
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—416no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3C2×D414yes—
673C2×C4×D3C2×D414yes—
674C2×C4×D3C2×D414yes—
675C2×Dic6—22no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4C2×D414yes—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C42—22no—
702C3×C42—41no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
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—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
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—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—41no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754C4⋊Dic3C2×D414yes—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4C2×D414yes—
769Dic3⋊C4C2×D414yes—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
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—64no—
804C23×C4—64no—
805C23×C4—122no—
806C23×C4C22×D311yescharacteristic
807#126—24no—
808#126—64no—
809#125—64no—
810#125—64no—
811#125—64no—
812#123—24no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—64no—
822#123—122no—
823C22⋊Q8—64no—
824C22⋊Q8—64no—
825#120—64no—
826#120—122no—
827C4×Q8—64no—
828C4×D4—64no—
829#117—64no—
830#117—64no—
831#117—64no—
832#117—122no—
833#117—122no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—38no—
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—64no—
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
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—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—64no—
913C2×C22⋊C4—64no—
914C2×C22⋊C4—64no—
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×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42C22×D311yescharacteristic
939C2×C42C22×D311yescharacteristic
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#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
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×C3—21no—
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—28no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
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—44no—
1021C22×D3—82no—
1022C22×D3—82no—
1023C22×D3—82no—
1024C22×D3—82no—
1025C22×D3C22×D412yes—
1026C22×D3C2×#4112yes—
1027C22×D3C2×#4112yes—
1028C22×D3H(5,𝔽2)12yes—
1029C3×D4—44no—
1030C3×D4—82no—
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—44no—
1066C2×C3×C4C22×D412yes—
1067C2×C3×C4C22×D412yes—
1068C2×C3×C4C22×D412yes—
1069#67—44no—
1070#67—44no—
1071#67—44no—
1072#67—82no—
1073#67—82no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
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—44no—
1111C2×Dic3—44no—
1112C2×Dic3C22×D412yes—
1113C2×Dic3C22×D412yes—
1114C2×Dic3C22×D412yes—
1115D12—44no—
1116C4×D3—28no—
1117C4×D3—28no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123Dic6—44no—
1124C24—31no—
1125C24—31no—
1126C24—34no—
1127C24—31no—
1128C24—62no—
1129C24—62no—
1130C24—62no—
1131C24—62no—
1132C24—62no—
1133C24—121no—
1134C24—121no—
1135C24—121no—
1136C24—121no—
1137C24—121no—
1138C24—121no—
1139C24—121no—
1140C24—121no—
1141C24C23×D311yescharacteristic
1142C24C23×D311yescharacteristic
1143C24C23×D311yescharacteristic
1144C2×Q8—62no—
1145C2×Q8—121no—
1146C2×Q8—121no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—121no—
1167C2×D4—1216no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—34no—
1181C22×C4—34no—
1182C22×C4—34no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—41no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—1216no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—34no—
1235C4⋊C4—34no—
1236C4⋊C4—34no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4D3×D414yes—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
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—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
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—
1321C42—22no—
1322C42—41no—
1323C42—62no—
1324C42—62no—
1325C42—62no—
1326C42—62no—
1327C42—121no—
1328C42—121no—
1329C42—121no—
1330C42—121no—
1331C42—121no—
1332C22×C3—22no—
1333C22×C3—22no—
1334C22×C3—22no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
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×C3C23×D411yescharacteristic
1354C22×C3C22×#4111yescharacteristic
1355C22×C3C2×H(5,𝔽2)11yescharacteristic
1356C22×C3#58511yescharacteristic
1357C22×C3#58511yescharacteristic
1358C22×C3#58511yescharacteristic
1359C22×C3#58511yescharacteristic
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—416no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—88no—
1382C2×D3#54614yes—
1383C3×C4—22no—
1384C3×C4—22no—
1385C3×C4—22no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390C3×C4—41no—
1391C3×C4—41no—
1392C3×C4—41no—
1393C3×C4—41no—
1394C3×C4—41no—
1395Dic3—22no—
1396Dic3—22no—
1397Dic3—22no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403Dic3—41no—
1404Dic3—41no—
1405Dic3—41no—
1406Dic3—41no—
1407Dic3—41no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
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—32no—
1429C23—32no—
1430C23—32no—
1431C23—32no—
1432C23—68no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
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—124no—
1451C23—124no—
1452C23—124no—
1453C23—124no—
1454C23—124no—
1455C23—124no—
1456C23—124no—
1457C23—124no—
1458C23—124no—
1459C23—242no—
1460C23—242no—
1461C23—242no—
1462C23—242no—
1463C23D3×#4112yes—
1464C23C24×D311yescharacteristic
1465Q8—124no—
1466D4—44no—
1467D4—82no—
1468D4—82no—
1469D4—124no—
1470D4—124no—
1471D4—124no—
1472D4—124no—
1473D4—242no—
1474D4—242no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
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—32no—
1509C2×C4—32no—
1510C2×C4—32no—
1511C2×C4—44no—
1512C2×C4—68no—
1513C2×C4—68no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
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—124no—
1551C2×C4—124no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4C2×D3×D412yes—
1558C2×C4C2×D3×D412yes—
1559C2×C4C2×D3×D412yes—
1560C2×C3—42no—
1561C2×C3—81no—
1562C2×C3—81no—
1563C2×C3#344911yescharacteristic
1564C2×C3C2×#54611yescharacteristic
1565C2×C3#348711yescharacteristic
1566C2×C3#349111yescharacteristic
1567C2×C3#349111yescharacteristic
1568C2×C3#353311yescharacteristic
1569C2×C3#353311yescharacteristic
1570D3—24no—
1571D3—42no—
1572D3—81no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—34no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—62no—
1596C22—62no—
1597C22—62no—
1598C22—62no—
1599C22—62no—
1600C22—62no—
1601C22—62no—
1602C22—62no—
1603C22—62no—
1604C22—1216no—
1605C22—121no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—248no—
1617C22C22×D3×D411yescharacteristic
1618C22C2×D3×#4111yescharacteristic
1619C22#596411yescharacteristic
1620C22D3×H(5,𝔽2)11yescharacteristic
1621C22#596611yescharacteristic
1622C22#596611yescharacteristic
1623C22#596811yescharacteristic
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—62no—
1637C4—62no—
1638C4—62no—
1639C4—121no—
1640C4—121no—
1641C4—121no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C3#3784311yescharacteristic, complemented, Sylow
1650C2—42no—
1651C2—64no—
1652C2—81no—
1653C2—81no—
1654C2—122no—
1655C2—241no—
1656C2#8636311yescharacteristic
1657C2#8645311yescharacteristic
1658C2#8655911yescharacteristic
1659C2D3×#54611yescharacteristic
1660C2#8678311yescharacteristic
1661C2#8681611yescharacteristic
1662C2#8708111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2705C2
prime radical#76760C2
hypercenter#2705D3
hypocenterC3#37843
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#5708C2semidirect
2. C2×D3×#123C2semidirect
3. C3×#2705C2semidirect
4. #83094C2semidirect
5. #82883C2semidirect
6. #78105C2semidirect
7. #78063C2semidirect
8. #77424C2semidirect
9. #77415C2semidirect
10. #77318C2semidirect
11. #77300C2semidirect
12. #77119C2semidirect
13. #77109C2semidirect
14. #77017C2semidirect
15. #76948C2semidirect
17. #76685C2semidirect
18. #76429C2semidirect
19. #76428C2semidirect
20. #76354C2semidirect
21. #76326C2semidirect
22. #76200C2semidirect
23. #76114C2semidirect
24. #75890C2semidirect
25. #75601C2semidirect
26. #75335C2semidirect
27. #74989C2semidirect
28. #74936C2semidirect
29. #74807C2semidirect
30. #73962C2semidirect
31. #73862C2semidirect
35. C2×C3×#126C22semidirect
51. C2×#890C22semidirect
52. C2×#889C22semidirect
53. C2×#889C22semidirect
64. C2×#879C22semidirect
65. C2×#878C22semidirect
66. C2×#877C22semidirect
68. C2×C4×Dic6C22semidirect
69. C3×#399C22semidirect
70. C3×#396C22semidirect
71. C3×#396C22semidirect
72. C3×#394C22semidirect
73. C3×#394C22semidirect
76. C3×#390C22semidirect
77. C3×#389C22semidirect
78. C3×#388C22semidirect
79. C3×#387C22semidirect
80. C3×#386C22semidirect
81. C3×#380C22semidirect
86. #5221C22semidirect
87. #5220C22semidirect
88. #5220C22semidirect
89. #5220C22semidirect
90. #5212C22semidirect
91. #5210C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4994C22semidirect
96. #4993C22semidirect
97. #4993C22semidirect
98. #4990C22semidirect
99. #4990C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
106. #4987C22semidirect
107. #4987C22semidirect
108. #4984C22semidirect
109. #4984C22semidirect
110. #4982C22semidirect
111. #4982C22semidirect
112. #4981C22semidirect
113. #4978C22semidirect
114. #4978C22semidirect
115. #4978C22semidirect
116. Dic3×C4⋊C4C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
122. #4958C22semidirect
123. #4958C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
131. #4956C22semidirect
132. #4956C22semidirect
139. #4953C22semidirect
140. #4952C22semidirect
141. #4951C22semidirect
142. #4951C22semidirect
143. #4951C22semidirect
144. #4950C22semidirect
145. #4949C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4947C22semidirect
151. #4947C22semidirect
152. #4945C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
157. #4944C22semidirect
158. Dic3×C22⋊C4C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
164. C4×C4⋊Dic3C22semidirect
165. #4933C22semidirect
166. #4675C22semidirect
167. #4674C22semidirect
168. #4673C22semidirect
169. #4673C22semidirect
171. #4670C22semidirect
172. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4666C22semidirect
177. #4666C22semidirect
183. #4660C22semidirect
184. #4658C22semidirect
185. #4657C22semidirect
186. #4655C22semidirect
187. #4655C22semidirect
188. #4653C22semidirect
189. #4647C22semidirect
196. #2705D3semidirect
363. D3×C4⋊C4D4semidirect
418. C2×#126C2×D3semidirect
455. #399C2×D3semidirect
472. #396C2×D3semidirect
473. #396C2×D3semidirect
480. #394C2×D3semidirect
481. #394C2×D3semidirect
501. #390C2×D3semidirect
505. #389C2×D3semidirect
523. #388C2×D3semidirect
531. #387C2×D3semidirect
540. #386C2×D3semidirect
557. #380C2×D3semidirect
1649. C3#37843semidirect

Maximal subgroups

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

subgroupindex
C2×#57082
C2×D3×#1232
C3×#27052
#830942
#828832
#781052
#780632
#774242
#774152
#773182
#773002
#771192
#771092
#770172
#769482
#767602
#766852
#764292
#764282
#763542
#763262
#762002
#761142
#758902
#756012
#753352
#749892
#749362
#748072
#739622
#738622
#378433