Finite Group Databasebeta

← #10959740

Subgroups — #10959740

Order 768.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic
2C3×#2383C211yesmaximal, characteristic, complemented
3#83074C211yesmaximal, characteristic, complemented
4#76205C211yesmaximal, characteristic, complemented
5#76204C211yesmaximal, characteristic, complemented
6#76202C211yesmaximal, characteristic, complemented
7#76199C211yesmaximal, characteristic, complemented
8#76196C211yesmaximal, characteristic, complemented
9#75968C211yesmaximal, characteristic, complemented
10#75836C211yesmaximal, characteristic
11#75833C211yesmaximal, characteristic, complemented
12#75832C211yesmaximal, characteristic, complemented
13#75828C211yesmaximal, characteristic, complemented
14#75465C211yesmaximal, characteristic, complemented
15#75462C211yesmaximal, characteristic, complemented
16#75307C211yesmaximal, characteristic, complemented
17#75304C211yesmaximal, characteristic, complemented
18#75300C211yesmaximal, characteristic, complemented
19#75297C211yesmaximal, characteristic, complemented
20#74965C211yesmaximal, characteristic, complemented
21#74945C211yesmaximal, characteristic, complemented
22#74598C211yesmaximal, characteristic, complemented
23D3×#385C211yesmaximal, characteristic, complemented
24D3×#385C211yesmaximal, characteristic, complemented
25#74403C211yesmaximal, characteristic, complemented
26#74402C211yesmaximal, characteristic, complemented
27#74379C211yesmaximal, characteristic
28#74360C211yesmaximal, characteristic, complemented
29#74359C211yesmaximal, characteristic, complemented
30#74296C211yesmaximal, characteristic, complemented
31#74295C211yesmaximal, characteristic, complemented
32#34457—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic
35#5705C4116yescomplemented
36C2×#897C2211yescharacteristic
37C2×#896C2211yescharacteristic
38C2×#894C2211yescharacteristic
39C2×#894C2211yescharacteristic
40C2×#893C2211yescharacteristic
41C2×#893C2211yescharacteristic
42C2×#893C2211yescharacteristic
43C2×#893C2211yescharacteristic
44C2×#892C2211yescharacteristic
45C2×#892C2211yescharacteristic
46C2×D3×C4⋊C4C2211yescharacteristic
47C2×D3×C4⋊C4C2211yescharacteristic
48C2×D3×C4⋊C4C2211yescharacteristic
49C2×D3×C4⋊C4C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic, complemented
51C2×#885C2211yescharacteristic
52C2×#883C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#67⋊C4C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×D3×C22⋊C4C2211yescharacteristic
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×#879C2211yescharacteristic
60C2×C4×D12C2211yescharacteristic
61C2×C4×D12C2211yescharacteristic
62C2×#872C2211yescharacteristic
63C2×#872C2211yescharacteristic
64C2×C4×Dic6C2211yescharacteristic, complemented
65C3×#389C2211yescharacteristic, complemented
66C3×#389C2211yescharacteristic, complemented
67C3×#389C2211yescharacteristic, complemented
68C3×#388C2211yescharacteristic
69C3×#388C2211yescharacteristic
70C3×#388C2211yescharacteristic
71C3×#387C2211yescharacteristic, complemented
72C3×#387C2211yescharacteristic, complemented
73C3×#387C2211yescharacteristic, complemented
74C3×#385C2211yescharacteristic
75C3×#385C2211yescharacteristic
76C3×#385C2211yescharacteristic
77C3×#384C2211yescharacteristic, complemented
78C3×#383C2211yescharacteristic, complemented
79#5213C2211yescharacteristic
80#5210C2211yescharacteristic
81#5210C2211yescharacteristic
82#4990C2211yescharacteristic, complemented
83#4989C2211yescharacteristic
84#4989C2211yescharacteristic
85#4989C2211yescharacteristic
86#4989C2211yescharacteristic
87#4989C2211yescharacteristic
88#4989C2211yescharacteristic
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4989C2211yescharacteristic, complemented
93#4989C2211yescharacteristic, complemented
94#4989C2211yescharacteristic, complemented
95#4987C2211yescharacteristic
96#4987C2211yescharacteristic, complemented
97#4984C2211yescharacteristic, complemented
98#4984C2211yescharacteristic, complemented
99#4980C2211yescharacteristic, complemented
100#4980C2211yescharacteristic, complemented
101#4980C2211yescharacteristic, complemented
102#4978C2211yescharacteristic, complemented
103#4977C2211yescharacteristic, complemented
104#4976C2211yescharacteristic, complemented
105#4976C2211yescharacteristic, complemented
106#4976C2211yescharacteristic, complemented
107#4976C2211yescharacteristic, complemented
108#4975C2211yescharacteristic, complemented
109#4975C2211yescharacteristic, complemented
110Dic3×C4⋊C4C2211yescharacteristic, complemented
111#4973C2211yescharacteristic, complemented
112#4972C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4957C2211yescharacteristic
116#4956C2211yescharacteristic
117#4955C2211yescharacteristic
118#4951C2211yescharacteristic
119#4951C2211yescharacteristic
120#4951C2211yescharacteristic
121#4950C2211yescharacteristic
122#4950C2211yescharacteristic
123#4946C2211yescharacteristic
124#4946C2211yescharacteristic
125#4945C2211yescharacteristic
126#4945C2211yescharacteristic
127#4944C2211yescharacteristic
128#4944C2211yescharacteristic
129Dic3×C22⋊C4C2211yescharacteristic
130#4940C2211yescharacteristic, complemented
131C4×(C2×D3)⋊C4C2211yescharacteristic
132C4×(C2×D3)⋊C4C2211yescharacteristic
133C4×(C2×D3)⋊C4C2211yescharacteristic
134C4×(C2×D3)⋊C4C2211yescharacteristic
135C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
136#4936C2211yescharacteristic, complemented
137C4×C4⋊Dic3C2211yescharacteristic, complemented
138#4933C2211yescharacteristic, complemented
139C4×Dic3⋊C4C2211yescharacteristic, complemented
140#4928C2211yescharacteristic, complemented
141#4670C2211yescharacteristic, complemented
142#4670C2211yescharacteristic, complemented
143#4669C2211yescharacteristic, complemented
144#4669C2211yescharacteristic, complemented
145#4668C2211yescharacteristic
146#4668C2211yescharacteristic
147#4668C2211yescharacteristic
148#4668C2211yescharacteristic
149#4668C2211yescharacteristic
150#4668C2211yescharacteristic
151#4668C2211yescharacteristic
152#4668C2211yescharacteristic, complemented
153#4668C2211yescharacteristic, complemented
154#4667C2211yescharacteristic
155#4667C2211yescharacteristic, complemented
156#4666C2211yescharacteristic
157#4666C2211yescharacteristic
158#4666C2211yescharacteristic
159#4666C2211yescharacteristic
160#4666C2211yescharacteristic
161#4666C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4664C2211yescharacteristic
167#4664C2211yescharacteristic
168#4664C2211yescharacteristic, complemented
169D3×#95C2211yescharacteristic
170D3×#95C2211yescharacteristic
171D3×#95C2211yescharacteristic
172D3×#95C2211yescharacteristic
173#4655C2211yescharacteristic, complemented
174#4655C2211yescharacteristic, complemented
175#4654C2211yescharacteristic, complemented
176#4654C2211yescharacteristic, complemented
177#4654C2211yescharacteristic, complemented
178#4653C2211yescharacteristic, complemented
179#4652C2211yescharacteristic, complemented
180#4652C2211yescharacteristic, complemented
181#4651C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4648C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189C2×#551—31no—
190#2383—31no—
191#2383D311yescharacteristic, complemented
192#2379—31no—
193#2376—31no—
194#2360—31no—
195#2360—31no—
196#2359—31no—
197#2359—31no—
198#2358—31no—
199D4×C4⋊C4—31no—
200D4×C4⋊C4—31no—
201#2343—31no—
202#2343—31no—
203#2342—31no—
204#2342—31no—
205#2334—31no—
206#2334—31no—
207#2329—31no—
208#2329—31no—
209#2326—31no—
210#2322—31no—
211#2322—31no—
212#2322—31no—
213#2318—31no—
214#2318—31no—
215#2317—31no—
216#2317—31no—
217C4×#120—31no—
218C2×#385—31no—
219C2×#385—31no—
220C24×D3C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C23×Dic3C2311yescharacteristic
224C22×D12C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×C4×D3—42no—
227C22×C4×D3—42no—
228C22×C4×D3—42no—
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#126C2×C418yescomplemented
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊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×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335#897C2×C418yescomplemented
336#896C2×C418yescomplemented
337#894C2×C418yescomplemented
338#894C2×C418yescomplemented
339#893—42no—
340#893—42no—
341#893—42no—
342#893C2×C418yescomplemented
343#892—42no—
344#892C2×C418yescomplemented
345D3×C4⋊C4—42no—
346D3×C4⋊C4—42no—
347D3×C4⋊C4—42no—
348D3×C4⋊C4—42no—
349D3×C4⋊C4—42no—
350#885C2×C418yescomplemented
351#883C2×C418yescomplemented
352#882C2×C418yes—
353#67⋊C4—42no—
354D3×C22⋊C4—42no—
355D3×C22⋊C4—42no—
356D3×C22⋊C4C2×C418yescomplemented
357D3×C22⋊C4C2×C418yescomplemented
358#879C2×C418yescomplemented
359C4×D12—42no—
360C4×D12C2×C418yescomplemented
361#872—42no—
362#872C2×C418yescomplemented
363C4×Dic6—42no—
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
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
408C24×C4—31no—
409#551—316no—
410C2×#126—31no—
411C2×#126C2×D311yescharacteristic
412C2×#124—31no—
413C2×#123—31no—
414C2×#123—31no—
415C2×#123—31no—
416C2×C22⋊Q8—31no—
417C2×C22⋊Q8—31no—
418C2×#120—31no—
419C2×C4×Q8—31no—
420C2×C4×D4—31no—
421C2×C4×D4—31no—
422C2×C4×D4—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×#117—31no—
428C2×#117—31no—
429C2×#117—31no—
430C2×#117—31no—
431C22×C4⋊C4—31no—
432C22×C4⋊C4—31no—
433C22×C4⋊C4—31no—
434C22×C4⋊C4—31no—
435C22×C4⋊C4—31no—
436C22×C22⋊C4—31no—
437C22×C22⋊C4—31no—
438C22×C22⋊C4—31no—
439C22×C22⋊C4—31no—
440#391—31no—
441#391—31no—
442#391—31no—
443#390—31no—
444#389—31no—
445#389—31no—
446#389—31no—
447#389—31no—
448#389—31no—
449#389—31no—
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#389—31no—
455#389C2×D311yescharacteristic, complemented
456#389C2×D311yescharacteristic, complemented
457#389C2×D311yescharacteristic, complemented
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388C2×D311yescharacteristic
472#388C2×D311yescharacteristic
473#388C2×D311yescharacteristic
474#387—31no—
475#387—31no—
476#387—31no—
477#387—31no—
478#387—31no—
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387C2×D311yescharacteristic, complemented
488#387C2×D311yescharacteristic, complemented
489#387C2×D311yescharacteristic, complemented
490#386—31no—
491#386—31no—
492#386—31no—
493#386—31no—
494#386—31no—
495#386—31no—
496#385—31no—
497#385—31no—
498#385—31no—
499#385—31no—
500#385—31no—
501#385—31no—
502#385—31no—
503#385—31no—
504#385—31no—
505#385—31no—
506#385—31no—
507#385—31no—
508#385—31no—
509#385—31no—
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385C2×D311yescharacteristic
524#385C2×D311yescharacteristic
525#385C2×D311yescharacteristic
526#384—31no—
527#384—31no—
528#384C2×D311yescharacteristic, complemented
529#383—31no—
530#383C2×D311yescharacteristic, complemented
531#382—31no—
532#382—31no—
533#382—31no—
534#382—31no—
535#381—31no—
536#381—31no—
537#381—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#379—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4—31no—
558C4×C22⋊C4—31no—
559#376—31no—
560C2×#95—31no—
561C2×#95—31no—
562C2×#95—31no—
563C2×#95—31no—
564C24×C3C2411yescharacteristic
565C23×D3—22no—
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3C22×C414yes—
572C23×D3C2411yescharacteristic
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C22×C3×C4—41no—
576C22×C3×C4—41no—
577C22×C3×C4—41no—
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C2×#67—41no—
593C2×#67—41no—
594C2×#67C22×C414yes—
595C22×Dic3—22no—
596C22×Dic3—41no—
597C22×Dic3—41no—
598C22×Dic3C2411yescharacteristic
599C22×Dic3C2411yescharacteristic
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C2×D12—22no—
612C2×D12—22no—
613C2×D12—22no—
614C2×D12—22no—
615C2×D12C22×C414yes—
616C2×D12C22×C414yes—
617C2×C4×D3—22no—
618C2×C4×D3—22no—
619C2×C4×D3—22no—
620C2×C4×D3—22no—
621C2×C4×D3—22no—
622C2×C4×D3—22no—
623C2×C4×D3—22no—
624C2×C4×D3—22no—
625C2×C4×D3—22no—
626C2×C4×D3—22no—
627C2×C4×D3—22no—
628C2×C4×D3—22no—
629C2×C4×D3—22no—
630C2×C4×D3—22no—
631C2×C4×D3—22no—
632C2×C4×D3—41no—
633C2×C4×D3—41no—
634C2×C4×D3—41no—
635C2×C4×D3—41no—
636C2×C4×D3—41no—
637C2×C4×D3—41no—
638C2×C4×D3—41no—
639C2×C4×D3—41no—
640C2×C4×D3—41no—
641C2×C4×D3—41no—
642C2×C4×D3—41no—
643C2×C4×D3—41no—
644C2×C4×D3—416no—
645C2×C4×D3—41no—
646C2×C4×D3—41no—
647C2×C4×D3—41no—
648C2×C4×D3—41no—
649C2×C4×D3—41no—
650C2×C4×D3—41no—
651C2×C4×D3—41no—
652C2×C4×D3—41no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3C22×C414yes—
659C2×C4×D3C22×C414yes—
660C2×C4×D3C22×C414yes—
661C2×C4×D3C22×C414yes—
662C2×C4×D3C22×C414yescomplemented
663C2×Dic6—41no—
664C2×Dic6—41no—
665C2×Dic6C22×C414yescomplemented
666C3×C4⋊C4—41no—
667C3×C4⋊C4—41no—
668C3×C4⋊C4—41no—
669C3×C4⋊C4—41no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C4⋊C4—41no—
674C3×C4⋊C4—41no—
675C3×C4⋊C4C22×C414yescomplemented
676C3×C4⋊C4C22×C414yescomplemented
677C3×C4⋊C4C22×C414yescomplemented
678C3×C22⋊C4—41no—
679C3×C22⋊C4—41no—
680C3×C22⋊C4—41no—
681C3×C22⋊C4C22×C414yes—
682C3×C22⋊C4C22×C414yes—
683C3×C22⋊C4C22×C414yes—
684C3×C42—41no—
685C3×C42—41no—
686C3×C42—41no—
687C3×C42C22×C414yescomplemented
688#217—41no—
689#217—41no—
690#217—41no—
691#217C22×C414yes—
692#217C22×C414yes—
693(C2×D3)⋊C4—22no—
694(C2×D3)⋊C4—22no—
695(C2×D3)⋊C4—22no—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
698(C2×D3)⋊C4—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704(C2×D3)⋊C4—41no—
705(C2×D3)⋊C4—41no—
706(C2×D3)⋊C4—41no—
707(C2×D3)⋊C4C22×C414yes—
708(C2×D3)⋊C4C22×C414yes—
709(C2×D3)⋊C4C22×C414yes—
710(C2×D3)⋊C4C22×C414yes—
711(C2×D3)⋊C4C22×C414yes—
712(C2×D3)⋊C4C22×C414yes—
713(C2×D3)⋊C4C22×C414yescomplemented
714(C2×D3)⋊C4C22×C414yescomplemented
715(C2×D3)⋊C4C22×C414yescomplemented
716C4⋊Dic3—22no—
717C4⋊Dic3—22no—
718C4⋊Dic3—41no—
719C4⋊Dic3—41no—
720C4⋊Dic3—41no—
721C4⋊Dic3—41no—
722C4⋊Dic3—41no—
723C4⋊Dic3C22×C414yescomplemented
724C4⋊Dic3C22×C414yescomplemented
725Dic3⋊C4—22no—
726Dic3⋊C4—22no—
727Dic3⋊C4—41no—
728Dic3⋊C4—41no—
729Dic3⋊C4—41no—
730Dic3⋊C4—41no—
731Dic3⋊C4—41no—
732Dic3⋊C4—41no—
733Dic3⋊C4—41no—
734Dic3⋊C4—41no—
735Dic3⋊C4—41no—
736Dic3⋊C4—41no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4C22×C414yescomplemented
740Dic3⋊C4C22×C414yescomplemented
741Dic3⋊C4C22×C414yescomplemented
742C4×Dic3—22no—
743C4×Dic3—41no—
744C4×Dic3—41no—
745C4×Dic3—41no—
746C4×Dic3—41no—
747C4×Dic3—41no—
748C4×Dic3—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C4×Dic3—41no—
753C4×Dic3C22×C414yescomplemented
754C4×Dic3C22×C414yescomplemented
755C25—31no—
756C22×Q8—31no—
757C22×D4—31no—
758C22×D4—31no—
759C22×D4—31no—
760C23×C4—31no—
761C23×C4—31no—
762C23×C4—31no—
763C23×C4—31no—
764C23×C4—31no—
765C23×C4—31no—
766C23×C4—31no—
767C23×C4—31no—
768C23×C4—31no—
769C23×C4—31no—
770C23×C4—31no—
771C23×C4—31no—
772C23×C4—31no—
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—122no—
777C23×C4—122no—
778C23×C4—122no—
779C23×C4C22×D311yescharacteristic
780#126—38no—
781#126C4×D318yescomplemented
782#124—38no—
783#123—38no—
784#123—38no—
785#123—38no—
786C22⋊Q8—38no—
787C22⋊Q8—38no—
788#120—38no—
789C4×Q8—122no—
790C4×D4—38no—
791C4×D4—38no—
792C4×D4—122no—
793C4×D4—122no—
794C4×D4—122no—
795C4×D4—122no—
796C4×D4—122no—
797#117—38no—
798#117—38no—
799#117—122no—
800#117—122no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—122no—
828C2×C4⋊C4—122no—
829C2×C4⋊C4—122no—
830C2×C4⋊C4—122no—
831C2×C4⋊C4—122no—
832C2×C4⋊C4C22×D311yescharacteristic
833C2×C4⋊C4C22×D311yescharacteristic
834C2×C4⋊C4C22×D311yescharacteristic
835C2×C4⋊C4C22×D311yescharacteristic
836C2×C4⋊C4C22×D311yescharacteristic
837C2×C4⋊C4C22×D311yescharacteristic
838C2×C4⋊C4C22×D311yescharacteristic
839C2×C4⋊C4C22×D311yescharacteristic
840C2×C4⋊C4C22×D311yescharacteristic
841C2×C4⋊C4C22×D311yescharacteristic
842C2×C4⋊C4C22×D311yescharacteristic
843C2×C4⋊C4C22×D311yescharacteristic
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—38no—
856C2×C22⋊C4—38no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—122no—
875C2×C22⋊C4—122no—
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C42—31no—
883C2×C42—31no—
884C2×C42—31no—
885C2×C42—31no—
886C2×C42—31no—
887C2×C42—31no—
888C2×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892C2×C42—31no—
893C2×C42—31no—
894C2×C42—31no—
895C2×C42C22×D311yescharacteristic
896C2×C42C22×D311yescharacteristic
897C2×C42C22×D311yescharacteristic
898C2×C42C22×D311yescharacteristic
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95C22×D311yescharacteristic
932#95C22×D311yescharacteristic
933#95C22×D311yescharacteristic
934#95C22×D311yescharacteristic
935#95C22×D311yescharacteristic
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941#95C22×D311yescharacteristic
942#95C22×D311yescharacteristic
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3C23×C412yes—
950C23×C3C2511yescharacteristic
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3—21no—
958C22×D3—21no—
959C22×D3—21no—
960C22×D3—21no—
961C22×D3—21no—
962C22×D3—21no—
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—28no—
966C22×D3—28no—
967C22×D3—44no—
968C22×D3—44no—
969C22×D3—44no—
970C22×D3—44no—
971C22×D3—44no—
972C22×D3C23×C412yes—
973C22×D3C23×C412yes—
974C22×D3C23×C412yes—
975C22×D3H(5,𝔽2)12yes—
976C22×D3H(5,𝔽2)12yes—
977C22×D32−1+412yes—
978C22×D32−1+412yes—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—44no—
1016C2×C3×C4C23×C412yes—
1017C2×C3×C4C23×C412yes—
1018C2×C3×C4C23×C412yes—
1019C2×C3×C4C23×C412yes—
1020C2×C3×C4C23×C412yes—
1021C2×C3×C4C23×C412yes—
1022#67—44no—
1023C2×Dic3—21no—
1024C2×Dic3—21no—
1025C2×Dic3—21no—
1026C2×Dic3—21no—
1027C2×Dic3—21no—
1028C2×Dic3—21no—
1029C2×Dic3—21no—
1030C2×Dic3—21no—
1031C2×Dic3—21no—
1032C2×Dic3—21no—
1033C2×Dic3—21no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—44no—
1057C2×Dic3C23×C412yes—
1058C2×Dic3C23×C412yes—
1059C2×Dic3C23×C412yes—
1060C2×Dic3C23×C412yes—
1061C2×Dic3C23×C412yes—
1062C2×Dic3H(5,𝔽2)12yes—
1063D12—28no—
1064D12—28no—
1065C4×D3—28no—
1066C4×D3—28no—
1067C4×D3—44no—
1068C4×D3—44no—
1069C4×D3—44no—
1070C4×D3—44no—
1071C4×D3—44no—
1072C4×D3—44no—
1073C4×D3—44no—
1074C4×D3—82no—
1075C4×D3—82no—
1076C4×D3—82no—
1077C4×D3—82no—
1078C4×D3—82no—
1079C4×D3—82no—
1080Dic6—44no—
1081C24—31no—
1082C24—31no—
1083C24—31no—
1084C24—34no—
1085C24—62no—
1086C24—62no—
1087C24—62no—
1088C24—62no—
1089C24—121no—
1090C24—121no—
1091C24C23×D311yescharacteristic
1092C2×Q8—34no—
1093C2×Q8—121no—
1094C2×Q8—121no—
1095C2×D4—34no—
1096C2×D4—34no—
1097C2×D4—34no—
1098C2×D4—62no—
1099C2×D4—62no—
1100C2×D4—62no—
1101C2×D4—62no—
1102C2×D4—121no—
1103C2×D4—121no—
1104C22×C4—31no—
1105C22×C4—31no—
1106C22×C4—31no—
1107C22×C4—31no—
1108C22×C4—31no—
1109C22×C4—31no—
1110C22×C4—34no—
1111C22×C4—34no—
1112C22×C4—34no—
1113C22×C4—34no—
1114C22×C4—34no—
1115C22×C4—31no—
1116C22×C4—31no—
1117C22×C4—31no—
1118C22×C4—31no—
1119C22×C4—31no—
1120C22×C4—31no—
1121C22×C4—31no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—62no—
1126C22×C4—62no—
1127C22×C4—62no—
1128C22×C4—62no—
1129C22×C4—62no—
1130C22×C4—62no—
1131C22×C4—62no—
1132C22×C4—62no—
1133C22×C4—62no—
1134C22×C4—62no—
1135C22×C4—62no—
1136C22×C4—62no—
1137C22×C4—62no—
1138C22×C4—62no—
1139C22×C4—62no—
1140C22×C4—62no—
1141C22×C4—121no—
1142C22×C4—121no—
1143C22×C4—121no—
1144C22×C4—121no—
1145C22×C4—121no—
1146C22×C4—121no—
1147C22×C4—121no—
1148C22×C4—121no—
1149C22×C4—121no—
1150C22×C4—121no—
1151C22×C4—121no—
1152C22×C4—121no—
1153C22×C4—121no—
1154C22×C4—121no—
1155C22×C4—121no—
1156C22×C4—121no—
1157C22×C4—121no—
1158C22×C4—121no—
1159C22×C4—121no—
1160C22×C4—121no—
1161C22×C4—121no—
1162C22×C4—121no—
1163C22×C4—121no—
1164C22×C4—121no—
1165C22×C4—121no—
1166C22×C4—1216no—
1167C22×C4—121no—
1168C22×C4—121no—
1169C22×C4C23×D311yescharacteristic
1170C22×C4C23×D311yescharacteristic
1171C22×C4C23×D311yescharacteristic
1172C22×C4C23×D311yescharacteristic
1173C22×C4C23×D311yescharacteristic
1174C22×C4C23×D311yescharacteristic
1175C22×C4C23×D311yescharacteristic
1176C22×C4C23×D311yescharacteristic
1177C22×C4C23×D311yescharacteristic
1178C22×C4C23×D311yescharacteristic
1179C22×C4C23×D311yescharacteristic
1180C22×C4C23×D311yescharacteristic
1181C22×C4C23×D311yescharacteristic
1182C22×C4C23×D311yescharacteristic
1183C4⋊C4—34no—
1184C4⋊C4—34no—
1185C4⋊C4—34no—
1186C4⋊C4—34no—
1187C4⋊C4—34no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—62no—
1198C4⋊C4—62no—
1199C4⋊C4—62no—
1200C4⋊C4—62no—
1201C4⋊C4—121no—
1202C4⋊C4—121no—
1203C4⋊C4—121no—
1204C4⋊C4—121no—
1205C4⋊C4—121no—
1206C4⋊C4—121no—
1207C4⋊C4—121no—
1208C4⋊C4—121no—
1209C4⋊C4—121no—
1210C4⋊C4—121no—
1211C4⋊C4—121no—
1212C4⋊C4—121no—
1213C4⋊C4—121no—
1214C4⋊C4—121no—
1215C4⋊C4—121no—
1216C4⋊C4—121no—
1217C4⋊C4—121no—
1218C4⋊C4C2×C4×D314yescomplemented
1219C4⋊C4C2×C4×D314yescomplemented
1220C4⋊C4C2×C4×D314yescomplemented
1221C22⋊C4—34no—
1222C22⋊C4—34no—
1223C22⋊C4—34no—
1224C22⋊C4—34no—
1225C22⋊C4—34no—
1226C22⋊C4—34no—
1227C22⋊C4—34no—
1228C22⋊C4—34no—
1229C22⋊C4—34no—
1230C22⋊C4—34no—
1231C22⋊C4—34no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—62no—
1236C22⋊C4—62no—
1237C22⋊C4—62no—
1238C22⋊C4—62no—
1239C22⋊C4—62no—
1240C22⋊C4—62no—
1241C22⋊C4—62no—
1242C22⋊C4—62no—
1243C22⋊C4—121no—
1244C22⋊C4—121no—
1245C22⋊C4—121no—
1246C22⋊C4—121no—
1247C22⋊C4—121no—
1248C22⋊C4—121no—
1249C22⋊C4—121no—
1250C22⋊C4—121no—
1251C22⋊C4—121no—
1252C22⋊C4C2×C4×D314yes—
1253C22⋊C4C2×C4×D314yes—
1254C22⋊C4C2×C4×D314yes—
1255C42—34no—
1256C42—34no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—62no—
1261C42—121no—
1262C42—121no—
1263C42—121no—
1264C42—121no—
1265C42—121no—
1266C42—121no—
1267C42—121no—
1268C42—121no—
1269C42—121no—
1270C42—121no—
1271C42C2×C4×D314yescomplemented
1272C22×C3—22no—
1273C22×C3—22no—
1274C22×C3—22no—
1275C22×C3—41no—
1276C22×C3—41no—
1277C22×C3—41no—
1278C22×C3—41no—
1279C22×C3C24×C411yescharacteristic
1280C22×C3C2×H(5,𝔽2)11yescharacteristic
1281C22×C3C2×H(5,𝔽2)11yescharacteristic
1282C22×C3C2×H(5,𝔽2)11yescharacteristic
1283C22×C3C2×2−1+411yescharacteristic
1284C22×C3C2×2−1+411yescharacteristic
1285C22×C3#58511yescharacteristic
1286C2×D3—22no—
1287C2×D3—22no—
1288C2×D3—22no—
1289C2×D3—22no—
1290C2×D3—22no—
1291C2×D3—22no—
1292C2×D3—22no—
1293C2×D3—22no—
1294C2×D3—22no—
1295C2×D3—22no—
1296C2×D3—22no—
1297C2×D3—22no—
1298C2×D3—22no—
1299C2×D3—22no—
1300C2×D3—22no—
1301C2×D3—416no—
1302C2×D3—41no—
1303C2×D3—41no—
1304C2×D3—41no—
1305C2×D3—41no—
1306C2×D3#52014yes—
1307C2×D3#52014yes—
1308C3×C4—22no—
1309C3×C4—22no—
1310C3×C4—22no—
1311C3×C4—22no—
1312C3×C4—22no—
1313C3×C4—22no—
1314C3×C4—41no—
1315C3×C4—41no—
1316C3×C4—41no—
1317C3×C4—41no—
1318C3×C4—41no—
1319C3×C4—41no—
1320C3×C4—41no—
1321C3×C4—41no—
1322Dic3—22no—
1323Dic3—22no—
1324Dic3—22no—
1325Dic3—22no—
1326Dic3—22no—
1327Dic3—22no—
1328Dic3—41no—
1329Dic3—41no—
1330Dic3—41no—
1331Dic3—41no—
1332Dic3—41no—
1333Dic3—41no—
1334Dic3—41no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—32no—
1342C23—32no—
1343C23—32no—
1344C23—32no—
1345C23—32no—
1346C23—32no—
1347C23—32no—
1348C23—68no—
1349C23—68no—
1350C23—61no—
1351C23—61no—
1352C23—61no—
1353C23—61no—
1354C23—61no—
1355C23—61no—
1356C23—61no—
1357C23—61no—
1358C23—61no—
1359C23—61no—
1360C23—61no—
1361C23—61no—
1362C23—61no—
1363C23—61no—
1364C23—124no—
1365C23—124no—
1366C23—124no—
1367C23—124no—
1368C23—124no—
1369C23C22×C4×D312yes—
1370C23C24×D311yescharacteristic
1371Q8—124no—
1372D4—68no—
1373D4—68no—
1374D4—124no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—32no—
1412C2×C4—32no—
1413C2×C4—32no—
1414C2×C4—32no—
1415C2×C4—32no—
1416C2×C4—32no—
1417C2×C4—44no—
1418C2×C4—68no—
1419C2×C4—68no—
1420C2×C4—61no—
1421C2×C4—61no—
1422C2×C4—61no—
1423C2×C4—61no—
1424C2×C4—61no—
1425C2×C4—61no—
1426C2×C4—61no—
1427C2×C4—61no—
1428C2×C4—61no—
1429C2×C4—61no—
1430C2×C4—61no—
1431C2×C4—61no—
1432C2×C4—61no—
1433C2×C4—61no—
1434C2×C4—61no—
1435C2×C4—61no—
1436C2×C4—61no—
1437C2×C4—61no—
1438C2×C4—61no—
1439C2×C4—61no—
1440C2×C4—61no—
1441C2×C4—61no—
1442C2×C4—61no—
1443C2×C4—61no—
1444C2×C4—61no—
1445C2×C4—61no—
1446C2×C4—61no—
1447C2×C4—61no—
1448C2×C4—61no—
1449C2×C4—61no—
1450C2×C4—61no—
1451C2×C4—61no—
1452C2×C4—61no—
1453C2×C4—124no—
1454C2×C4—124no—
1455C2×C4—124no—
1456C2×C4—124no—
1457C2×C4—124no—
1458C2×C4—124no—
1459C2×C4—124no—
1460C2×C4—124no—
1461C2×C4—242no—
1462C2×C4—242no—
1463C2×C4—242no—
1464C2×C4—242no—
1465C2×C4—242no—
1466C2×C4—242no—
1467C2×C4C22×C4×D312yes—
1468C2×C4C22×C4×D312yes—
1469C2×C4C22×C4×D312yes—
1470C2×C4C22×C4×D312yes—
1471C2×C4C22×C4×D312yes—
1472C2×C4C22×C4×D312yes—
1473C2×C3—42no—
1474C2×C3C2×#52011yescharacteristic
1475C2×C3C2×#52011yescharacteristic
1476C2×C3C4×H(5,𝔽2)11yescharacteristic
1477C2×C3#353211yescharacteristic
1478C2×C3#353511yescharacteristic
1479C2×C3#353511yescharacteristic
1480C2×C3#353811yescharacteristic
1481D3—24no—
1482D3—24no—
1483D3—42no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—34no—
1488C22—34no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—62no—
1494C22—62no—
1495C22—62no—
1496C22—62no—
1497C22—62no—
1498C22—62no—
1499C22—62no—
1500C22—62no—
1501C22—62no—
1502C22—62no—
1503C22—62no—
1504C22—62no—
1505C22—62no—
1506C22—62no—
1507C22—62no—
1508C22—1216no—
1509C22—121no—
1510C22—121no—
1511C22—121no—
1512C22—121no—
1513C22C23×C4×D311yescharacteristic
1514C22D3×H(5,𝔽2)11yescharacteristic
1515C22D3×H(5,𝔽2)11yescharacteristic
1516C22D3×H(5,𝔽2)11yescharacteristic
1517C22D3×2−1+411yescharacteristic
1518C22D3×2−1+411yescharacteristic
1519C22#596811yescharacteristic
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—62no—
1535C4—62no—
1536C4—62no—
1537C4—62no—
1538C4—62no—
1539C4—62no—
1540C4—121no—
1541C4—121no—
1542C4—121no—
1543C4—121no—
1544C4—121no—
1545C4—121no—
1546C4—121no—
1547C3#3445711yescharacteristic, complemented, Sylow
1548C2—42no—
1549C2—64no—
1550C2—64no—
1551C2—122no—
1552C2#8588611yescharacteristic
1553C2D3×#52011yescharacteristic
1554C2D3×#52011yescharacteristic
1555C2#8708011yescharacteristic
1556C2#8711711yescharacteristic
1557C2#8712911yescharacteristic
1558C2#8712911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2383C2
socle, cosocleC23×C3C25
prime radicalC2×#882C22
hypercenter#2383D3
hypocenterC3#34457
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2383

Complements

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

NH ≅ G/Ntype
2. C3×#2383C2semidirect
3. #83074C2semidirect
4. #76205C2semidirect
5. #76204C2semidirect
6. #76202C2semidirect
7. #76199C2semidirect
8. #76196C2semidirect
9. #75968C2semidirect
11. #75833C2semidirect
12. #75832C2semidirect
13. #75828C2semidirect
14. #75465C2semidirect
15. #75462C2semidirect
16. #75307C2semidirect
17. #75304C2semidirect
18. #75300C2semidirect
19. #75297C2semidirect
20. #74965C2semidirect
21. #74945C2semidirect
22. #74598C2semidirect
23. D3×#385C2semidirect
24. D3×#385C2semidirect
25. #74403C2semidirect
26. #74402C2semidirect
28. #74360C2semidirect
29. #74359C2semidirect
30. #74296C2semidirect
31. #74295C2semidirect
35. #5705C4semidirect
50. C2×D3×C4⋊C4C22semidirect
64. C2×C4×Dic6C22semidirect
65. C3×#389C22semidirect
66. C3×#389C22semidirect
67. C3×#389C22semidirect
71. C3×#387C22semidirect
72. C3×#387C22semidirect
73. C3×#387C22semidirect
77. C3×#384C22semidirect
78. C3×#383C22semidirect
82. #4990C22semidirect
92. #4989C22semidirect
93. #4989C22semidirect
94. #4989C22semidirect
96. #4987C22semidirect
97. #4984C22semidirect
98. #4984C22semidirect
99. #4980C22semidirect
100. #4980C22semidirect
101. #4980C22semidirect
102. #4978C22semidirect
103. #4977C22semidirect
104. #4976C22semidirect
105. #4976C22semidirect
106. #4976C22semidirect
107. #4976C22semidirect
108. #4975C22semidirect
109. #4975C22semidirect
110. Dic3×C4⋊C4C22semidirect
111. #4973C22semidirect
112. #4972C22semidirect
113. #4972C22semidirect
114. #4972C22semidirect
130. #4940C22semidirect
135. C4×(C2×D3)⋊C4C22semidirect
136. #4936C22semidirect
137. C4×C4⋊Dic3C22semidirect
138. #4933C22semidirect
139. C4×Dic3⋊C4C22semidirect
140. #4928C22semidirect
141. #4670C22semidirect
142. #4670C22semidirect
143. #4669C22semidirect
144. #4669C22semidirect
152. #4668C22semidirect
153. #4668C22semidirect
155. #4667C22semidirect
168. #4664C22semidirect
173. #4655C22semidirect
174. #4655C22semidirect
175. #4654C22semidirect
176. #4654C22semidirect
177. #4654C22semidirect
178. #4653C22semidirect
179. #4652C22semidirect
180. #4652C22semidirect
181. #4651C22semidirect
182. #4650C22semidirect
183. #4650C22semidirect
184. #4649C22semidirect
185. #4648C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
191. #2383D3semidirect
245. C3×#126C2×C4semidirect
335. #897C2×C4semidirect
336. #896C2×C4semidirect
337. #894C2×C4semidirect
338. #894C2×C4semidirect
342. #893C2×C4semidirect
344. #892C2×C4semidirect
350. #885C2×C4semidirect
351. #883C2×C4semidirect
356. D3×C22⋊C4C2×C4semidirect
357. D3×C22⋊C4C2×C4semidirect
358. #879C2×C4semidirect
360. C4×D12C2×C4semidirect
362. #872C2×C4semidirect
455. #389C2×D3semidirect
456. #389C2×D3semidirect
457. #389C2×D3semidirect
487. #387C2×D3semidirect
488. #387C2×D3semidirect
489. #387C2×D3semidirect
528. #384C2×D3semidirect
530. #383C2×D3semidirect
662. C2×C4×D3C22×C4semidirect
665. C2×Dic6C22×C4semidirect
675. C3×C4⋊C4C22×C4semidirect
676. C3×C4⋊C4C22×C4semidirect
677. C3×C4⋊C4C22×C4semidirect
687. C3×C42C22×C4semidirect
713. (C2×D3)⋊C4C22×C4semidirect
714. (C2×D3)⋊C4C22×C4semidirect
715. (C2×D3)⋊C4C22×C4semidirect
723. C4⋊Dic3C22×C4semidirect
724. C4⋊Dic3C22×C4semidirect
739. Dic3⋊C4C22×C4semidirect
740. Dic3⋊C4C22×C4semidirect
741. Dic3⋊C4C22×C4semidirect
753. C4×Dic3C22×C4semidirect
754. C4×Dic3C22×C4semidirect
781. #126C4×D3semidirect
1218. C4⋊C4C2×C4×D3semidirect
1219. C4⋊C4C2×C4×D3semidirect
1220. C4⋊C4C2×C4×D3semidirect
1271. C42C2×C4×D3semidirect
1547. C3#34457semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C3×#23832
#830742
#762052
#762042
#762022
#761992
#761962
#759682
#758362
#758332
#758322
#758282
#754652
#754622
#753072
#753042
#753002
#752972
#749652
#749452
#745982
D3×#3852
#744032
#744022
#743792
#743602
#743592
#742962
#742952
#344573