Finite Group Databasebeta

← #10958923

Subgroups — #10958923

Order 768.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic
2C3×#2383C211yesmaximal, characteristic, complemented
3#83075C211yesmaximal, characteristic, complemented
4#76206C211yesmaximal, characteristic, complemented
5#76202C211yesmaximal, characteristic, complemented
6#76199C211yesmaximal, characteristic, complemented
7#75994C211yesmaximal, characteristic, complemented
8#75977C211yesmaximal, characteristic, complemented
9#75964C211yesmaximal, characteristic, complemented
10#75836C211yesmaximal, characteristic, complemented
11#75836C211yesmaximal, characteristic, complemented
12#75831C211yesmaximal, characteristic, complemented
13D3×#388C211yesmaximal, characteristic, complemented
14#75490C211yesmaximal, characteristic, complemented
15#75471C211yesmaximal, characteristic, complemented
16#75313C211yesmaximal, characteristic, complemented
17#75306C211yesmaximal, characteristic, complemented
18#75298C211yesmaximal, characteristic, complemented
19#75297C211yesmaximal, characteristic, complemented
20#74972C211yesmaximal, characteristic, complemented
21#74941C211yesmaximal, characteristic, complemented
22#74596C211yesmaximal, characteristic, complemented
23#74596C211yesmaximal, characteristic, complemented
24#74593C211yesmaximal, characteristic, complemented
25#74591C211yesmaximal, characteristic, complemented
26#74397C211yesmaximal, characteristic, complemented
27#74386C211yesmaximal, characteristic, complemented
28#74360C211yesmaximal, characteristic, complemented
29#74321C211yesmaximal, characteristic, complemented
30#74297C211yesmaximal, characteristic, complemented
31#74262C211yesmaximal, characteristic, complemented
32#34426—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C4×#67C2211yescharacteristic
35C2×C4×#67C2211yescharacteristic
36C22×(C2×D3)⋊C4C2211yescharacteristic
37#5704C4116yescomplemented
38C2×#898C2211yescharacteristic
39C2×#896C2211yescharacteristic
40C2×#895C2211yescharacteristic
41C2×#895C2211yescharacteristic
42C2×#894C2211yescharacteristic
43C2×#893C2211yescharacteristic
44C2×#893C2211yescharacteristic
45C2×#893C2211yescharacteristic
46C2×#893C2211yescharacteristic
47C2×#893C2211yescharacteristic
48C2×#893C2211yescharacteristic, complemented
49C2×D3×C4⋊C4C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic, complemented
51C2×D3×C4⋊C4C2211yescharacteristic, complemented
52C2×#887C2211yescharacteristic, complemented
53C2×#885C2211yescharacteristic
54C2×#884C2211yescharacteristic
55C2×#883C2211yescharacteristic
56C2×#882C2211yescharacteristic
57C2×#882C2211yescharacteristic
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×#875C2211yescharacteristic
63C2×C4×D12C2211yescharacteristic
64C2×C4×D12C2211yescharacteristic
65C2×C4×D12C2211yescharacteristic
66C2×C42×D3C2211yescharacteristic
67C3×#389C2211yescharacteristic, complemented
68C3×#389C2211yescharacteristic, complemented
69C3×#389C2211yescharacteristic, complemented
70C3×#388C2211yescharacteristic
71C3×#388C2211yescharacteristic
72C3×#388C2211yescharacteristic
73C3×#387C2211yescharacteristic, complemented
74C3×#387C2211yescharacteristic, complemented
75C3×#387C2211yescharacteristic, complemented
76C3×#385C2211yescharacteristic
77C3×#385C2211yescharacteristic
78C3×#385C2211yescharacteristic
79C3×#384C2211yescharacteristic, complemented
80C3×#383C2211yescharacteristic, complemented
81#5210C2211yescharacteristic
82#4990C2211yescharacteristic
83#4990C2211yescharacteristic
84#4990C2211yescharacteristic
85#4990C2211yescharacteristic, complemented
86#4990C2211yescharacteristic, complemented
87#4990C2211yescharacteristic, complemented
88#4989C2211yescharacteristic
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4989C2211yescharacteristic
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic, complemented
95#4989C2211yescharacteristic, complemented
96#4989C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4988C2211yescharacteristic
99#4988C2211yescharacteristic
100#4987C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic, complemented
103#4984C2211yescharacteristic, complemented
104#4980C2211yescharacteristic, complemented
105#4980C2211yescharacteristic, complemented
106#4980C2211yescharacteristic, complemented
107#4978C2211yescharacteristic, complemented
108#4976C2211yescharacteristic, complemented
109#4975C2211yescharacteristic, complemented
110Dic3×C4⋊C4C2211yescharacteristic, complemented
111Dic3×C4⋊C4C2211yescharacteristic, complemented
112#4973C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4951C2211yescharacteristic
122#4951C2211yescharacteristic
123#4951C2211yescharacteristic
124#4950C2211yescharacteristic
125#4946C2211yescharacteristic
126#4945C2211yescharacteristic
127#4944C2211yescharacteristic
128Dic3×C22⋊C4C2211yescharacteristic
129Dic3×C22⋊C4C2211yescharacteristic
130#4940C2211yescharacteristic
131#4940C2211yescharacteristic, complemented
132#4939C2211yescharacteristic, complemented
133C4×(C2×D3)⋊C4C2211yescharacteristic
134C4×(C2×D3)⋊C4C2211yescharacteristic
135C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
136C4×C4⋊Dic3C2211yescharacteristic, complemented
137#4933C2211yescharacteristic, complemented
138#4933C2211yescharacteristic, complemented
139#4932C2211yescharacteristic, complemented
140C4×Dic3⋊C4C2211yescharacteristic, complemented
141#4670C2211yescharacteristic
142#4670C2211yescharacteristic, complemented
143#4669C2211yescharacteristic
144#4669C2211yescharacteristic
145#4669C2211yescharacteristic
146#4669C2211yescharacteristic, complemented
147#4669C2211yescharacteristic, complemented
148#4669C2211yescharacteristic, complemented
149#4668C2211yescharacteristic
150#4668C2211yescharacteristic
151#4668C2211yescharacteristic
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic, complemented
154#4668C2211yescharacteristic, complemented
155#4667C2211yescharacteristic
156#4667C2211yescharacteristic
157#4667C2211yescharacteristic, complemented
158#4666C2211yescharacteristic
159#4666C2211yescharacteristic
160#4666C2211yescharacteristic
161#4666C2211yescharacteristic
162#4666C2211yescharacteristic, complemented
163#4666C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic
178D3×#95C2211yescharacteristic
179#4655C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4651C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4648C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189C2×#538—31no—
190#2383—31no—
191#2383D311yescharacteristic, complemented
192#2377—31no—
193#2377—31no—
194#2373—31no—
195#2373—31no—
196#2361—31no—
197#2361—31no—
198#2358—31no—
199#2358—31no—
200#2358—31no—
201#2358—31no—
202#2353—31no—
203#2353—31no—
204D4×C4⋊C4—31no—
205D4×C4⋊C4—31no—
206#2337—31no—
207#2337—31no—
208#2335—31no—
209#2335—31no—
210#2329—31no—
211#2326—31no—
212#2326—31no—
213#2325—31no—
214#2322—31no—
215#2322—31no—
216#2315—31no—
217C4×C22⋊Q8—31no—
218C4×#121—31no—
219C2×#388—31no—
220C24×D3C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C23×Dic3C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×D12C2311yescharacteristic
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
272C4×#67—42no—
273C4×#67—42no—
274C2×(C2×D3)⋊C4—42no—
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×(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×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339#898C2×C418yescomplemented
340#896C2×C418yescomplemented
341#895C2×C418yescomplemented
342#895C2×C418yescomplemented
343#894C2×C418yescomplemented
344#893—42no—
345#893—42no—
346#893—42no—
347#893—42no—
348#893—42no—
349#893C2×C418yescomplemented
350D3×C4⋊C4—42no—
351D3×C4⋊C4—42no—
352D3×C4⋊C4—42no—
353#887—42no—
354#885C2×C418yescomplemented
355#884C2×C418yescomplemented
356#883C2×C418yescomplemented
357#882C2×C418yescomplemented
358#882C2×C418yescomplemented
359D3×C22⋊C4—42no—
360D3×C22⋊C4—42no—
361D3×C22⋊C4—42no—
362D3×C22⋊C4C2×C418yescomplemented
363#875C2×C418yescomplemented
364C4×D12—42no—
365C4×D12—42no—
366C4×D12C2×C418yescomplemented
367C42×D3—42no—
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
408#538—316no—
409C2×#126—31no—
410C2×#126C2×D311yescharacteristic
411C2×#124—31no—
412C2×#124—31no—
413C2×#123—31no—
414C2×#123—31no—
415C2×C22⋊Q8—31no—
416C2×#121—31no—
417C2×#121—31no—
418C2×#121—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×Q8—31no—
422C2×C4×D4—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×C4×D4—31no—
428C2×C4×D4—31no—
429C2×C4×D4—31no—
430C2×C4×D4—31no—
431C2×C4×D4—31no—
432C2×C4×D4—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—
440C22×C22⋊C4—31no—
441C22×C42—31no—
442#391—31no—
443#391—31no—
444#391—31no—
445#390—31no—
446#390—31no—
447#390—31no—
448#390—31no—
449#390—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#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388C2×D311yescharacteristic
480#388C2×D311yescharacteristic
481#388C2×D311yescharacteristic
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387C2×D311yescharacteristic, complemented
492#387C2×D311yescharacteristic, complemented
493#387C2×D311yescharacteristic, complemented
494#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—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#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385C2×D311yescharacteristic
528#385C2×D311yescharacteristic
529#385C2×D311yescharacteristic
530#384—31no—
531#384C2×D311yescharacteristic, complemented
532#383—31no—
533#383C2×D311yescharacteristic, complemented
534#381—31no—
535#381—31no—
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C4⋊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—
559C4×C22⋊C4—31no—
560#376—31no—
561#376—31no—
562C2×#95—31no—
563C2×#95—31no—
564C24×C3C2411yescharacteristic
565C23×D3—22no—
566C23×D3—22no—
567C23×D3—41no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3C22×C414yes—
572C23×D3C2411yescharacteristic
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C22×C3×C4—41no—
577C22×C3×C4—41no—
578C22×C3×C4—41no—
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
592C22×C3×C4C2411yescharacteristic
593C2×#67—41no—
594C2×#67—41no—
595C2×#67—41no—
596C2×#67—41no—
597C2×#67C22×C414yes—
598C2×#67C22×C414yes—
599C22×Dic3—41no—
600C22×Dic3—41no—
601C22×Dic3—41no—
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C2×D12—22no—
615C2×D12—22no—
616C2×D12—22no—
617C2×D12—22no—
618C2×D12—41no—
619C2×D12—41no—
620C2×D12—41no—
621C2×D12—41no—
622C2×D12—41no—
623C2×D12—41no—
624C2×D12C22×C414yes—
625C2×D12C22×C414yes—
626C2×D12C22×C414yes—
627C2×D12C22×C414yes—
628C2×D12C22×C414yes—
629C2×C4×D3—22no—
630C2×C4×D3—22no—
631C2×C4×D3—22no—
632C2×C4×D3—22no—
633C2×C4×D3—22no—
634C2×C4×D3—22no—
635C2×C4×D3—22no—
636C2×C4×D3—22no—
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—41no—
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×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3C22×C414yes—
668C2×C4×D3C22×C414yes—
669C2×C4×D3C22×C414yes—
670C2×C4×D3C22×C414yes—
671C2×Dic6—41no—
672C2×Dic6—41no—
673C2×Dic6C22×C414yes—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4C22×C414yes—
684C3×C4⋊C4C22×C414yes—
685C3×C4⋊C4C22×C414yes—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4C22×C414yes—
690C3×C22⋊C4C22×C414yes—
691C3×C22⋊C4C22×C414yes—
692C3×C42—41no—
693C3×C42—41no—
694C3×C42—41no—
695C3×C42C22×C414yes—
696#217—22no—
697#217—22no—
698#217—41no—
699#217C22×C414yes—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—41no—
709(C2×D3)⋊C4—41no—
710(C2×D3)⋊C4—41no—
711(C2×D3)⋊C4—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4C22×C414yes—
723(C2×D3)⋊C4C22×C414yes—
724(C2×D3)⋊C4C22×C414yes—
725(C2×D3)⋊C4C22×C414yes—
726(C2×D3)⋊C4C22×C414yes—
727(C2×D3)⋊C4C22×C414yes—
728(C2×D3)⋊C4C22×C414yes—
729(C2×D3)⋊C4C22×C414yes—
730(C2×D3)⋊C4C22×C414yes—
731(C2×D3)⋊C4C22×C414yes—
732C4⋊Dic3—22no—
733C4⋊Dic3—22no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737C4⋊Dic3C22×C414yes—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4C22×C414yes—
749Dic3⋊C4C22×C414yes—
750C4×Dic3—22no—
751C4×Dic3—22no—
752C4×Dic3—22no—
753C4×Dic3—22no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C4×Dic3—41no—
760C4×Dic3—41no—
761C4×Dic3—41no—
762C4×Dic3—41no—
763C4×Dic3C22×C414yes—
764C25—31no—
765C22×Q8—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—31no—
772C22×D4—31no—
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4C22×D311yescharacteristic
789#126—38no—
790#126C4×D318yescomplemented
791#124—38no—
792#124—38no—
793#123—38no—
794#123—38no—
795C22⋊Q8—38no—
796#121—38no—
797#121—38no—
798#121—38no—
799#120—38no—
800#120—38no—
801C4×Q8—122no—
802C4×D4—38no—
803C4×D4—38no—
804C4×D4—122no—
805C4×D4—122no—
806C4×D4—122no—
807C4×D4—122no—
808C4×D4—122no—
809C4×D4—122no—
810C4×D4—122no—
811C4×D4—122no—
812C4×D4—122no—
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—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—122no—
832C2×C4⋊C4—122no—
833C2×C4⋊C4—122no—
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×C4⋊C4C22×D311yescharacteristic
845C2×C4⋊C4C22×D311yescharacteristic
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—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—38no—
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—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—122no—
884C2×C22⋊C4—122no—
885C2×C22⋊C4—122no—
886C2×C22⋊C4—122no—
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C42—31no—
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—31no—
899C2×C42—31no—
900C2×C42—31no—
901C2×C42—31no—
902C2×C42—31no—
903C2×C42—31no—
904C2×C42—31no—
905C2×C42—31no—
906C2×C42—31no—
907C2×C42—122no—
908C2×C42C22×D311yescharacteristic
909C2×C42C22×D311yescharacteristic
910C2×C42C22×D311yescharacteristic
911C2×C42C22×D311yescharacteristic
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#95—31no—
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#95C22×D311yescharacteristic
941#95C22×D311yescharacteristic
942#95C22×D311yescharacteristic
943#95C22×D311yescharacteristic
944#95C22×D311yescharacteristic
945#95C22×D311yescharacteristic
946#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
951#95C22×D311yescharacteristic
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3C23×C412yes—
959C23×C3C2511yescharacteristic
960C22×D3—21no—
961C22×D3—21no—
962C22×D3—21no—
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—21no—
966C22×D3—21no—
967C22×D3—21no—
968C22×D3—21no—
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—28no—
983C22×D3—44no—
984C22×D3—44no—
985C22×D3—82no—
986C22×D3—82no—
987C22×D3—82no—
988C22×D3—82no—
989C22×D3C23×C412yes—
990C22×D3C23×C412yes—
991C22×D3C23×C412yes—
992C22×D3C23×C412yes—
993C22×D3H(5,𝔽2)12yes—
994C22×D32−1+412yes—
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—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—82no—
1032C2×C3×C4C23×C412yes—
1033C2×C3×C4C23×C412yes—
1034C2×C3×C4C23×C412yes—
1035C2×C3×C4C23×C412yes—
1036C2×C3×C4C23×C412yes—
1037C2×C3×C4C23×C412yes—
1038#67—44no—
1039#67—44no—
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—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—82no—
1071C2×Dic3C23×C412yes—
1072C2×Dic3C23×C412yes—
1073C2×Dic3C23×C412yes—
1074C2×Dic3C23×C412yes—
1075C2×Dic3H(5,𝔽2)12yes—
1076C2×Dic3H(5,𝔽2)12yes—
1077D12—28no—
1078D12—28no—
1079D12—44no—
1080D12—44no—
1081D12—44no—
1082C4×D3—44no—
1083C4×D3—44no—
1084C4×D3—44no—
1085C4×D3—44no—
1086C4×D3—44no—
1087C4×D3—44no—
1088C4×D3—82no—
1089C4×D3—82no—
1090C4×D3—82no—
1091C4×D3—82no—
1092C4×D3—82no—
1093C4×D3—82no—
1094C4×D3—82no—
1095C4×D3—82no—
1096Dic6—44no—
1097C24—31no—
1098C24—31no—
1099C24—31no—
1100C24—31no—
1101C24—34no—
1102C24—62no—
1103C24—62no—
1104C24—121no—
1105C24—121no—
1106C24—121no—
1107C24—121no—
1108C24C23×D311yescharacteristic
1109C2×Q8—34no—
1110C2×Q8—121no—
1111C2×Q8—121no—
1112C2×D4—34no—
1113C2×D4—34no—
1114C2×D4—34no—
1115C2×D4—34no—
1116C2×D4—34no—
1117C2×D4—34no—
1118C2×D4—34no—
1119C2×D4—62no—
1120C2×D4—62no—
1121C2×D4—62no—
1122C2×D4—62no—
1123C2×D4—121no—
1124C2×D4—121no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4—121no—
1131C2×D4—121no—
1132C2×D4—121no—
1133C22×C4—31no—
1134C22×C4—31no—
1135C22×C4—31no—
1136C22×C4—31no—
1137C22×C4—31no—
1138C22×C4—31no—
1139C22×C4—34no—
1140C22×C4—34no—
1141C22×C4—34no—
1142C22×C4—34no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—62no—
1153C22×C4—62no—
1154C22×C4—62no—
1155C22×C4—62no—
1156C22×C4—62no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—121no—
1161C22×C4—121no—
1162C22×C4—121no—
1163C22×C4—121no—
1164C22×C4—121no—
1165C22×C4—121no—
1166C22×C4—121no—
1167C22×C4—121no—
1168C22×C4—121no—
1169C22×C4—121no—
1170C22×C4—121no—
1171C22×C4—121no—
1172C22×C4—121no—
1173C22×C4—121no—
1174C22×C4—121no—
1175C22×C4—121no—
1176C22×C4—121no—
1177C22×C4—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4C23×D311yescharacteristic
1194C22×C4C23×D311yescharacteristic
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C4⋊C4—34no—
1208C4⋊C4—34no—
1209C4⋊C4—34no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—62no—
1220C4⋊C4—62no—
1221C4⋊C4—62no—
1222C4⋊C4—62no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4C2×C4×D314yes—
1235C4⋊C4C2×C4×D314yes—
1236C4⋊C4C2×C4×D314yes—
1237C22⋊C4—34no—
1238C22⋊C4—34no—
1239C22⋊C4—34no—
1240C22⋊C4—34no—
1241C22⋊C4—34no—
1242C22⋊C4—34no—
1243C22⋊C4—34no—
1244C22⋊C4—34no—
1245C22⋊C4—34no—
1246C22⋊C4—34no—
1247C22⋊C4—34no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—62no—
1252C22⋊C4—62no—
1253C22⋊C4—62no—
1254C22⋊C4—62no—
1255C22⋊C4—62no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—121no—
1262C22⋊C4—121no—
1263C22⋊C4—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4C2×C4×D314yes—
1277C22⋊C4C2×C4×D314yes—
1278C22⋊C4C2×C4×D314yes—
1279C42—34no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—62no—
1284C42—62no—
1285C42—62no—
1286C42—62no—
1287C42—121no—
1288C42—121no—
1289C42—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42C2×C4×D314yes—
1297C22×C3—22no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—41no—
1301C22×C3—41no—
1302C22×C3—41no—
1303C22×C3—41no—
1304C22×C3C24×C411yescharacteristic
1305C22×C3C2×H(5,𝔽2)11yescharacteristic
1306C22×C3C2×H(5,𝔽2)11yescharacteristic
1307C22×C3C2×H(5,𝔽2)11yescharacteristic
1308C22×C3C2×2−1+411yescharacteristic
1309C22×C3#58511yescharacteristic
1310C22×C3#58511yescharacteristic
1311C2×D3—22no—
1312C2×D3—22no—
1313C2×D3—22no—
1314C2×D3—22no—
1315C2×D3—22no—
1316C2×D3—22no—
1317C2×D3—22no—
1318C2×D3—22no—
1319C2×D3—22no—
1320C2×D3—22no—
1321C2×D3—22no—
1322C2×D3—22no—
1323C2×D3—22no—
1324C2×D3—22no—
1325C2×D3—22no—
1326C2×D3—41no—
1327C2×D3—41no—
1328C2×D3—41no—
1329C2×D3—41no—
1330C2×D3—41no—
1331C2×D3—41no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—88no—
1339C2×D3#52014yes—
1340C3×C4—22no—
1341C3×C4—22no—
1342C3×C4—22no—
1343C3×C4—22no—
1344C3×C4—22no—
1345C3×C4—22no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354Dic3—22no—
1355Dic3—22no—
1356Dic3—22no—
1357Dic3—22no—
1358Dic3—22no—
1359Dic3—22no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—32no—
1373C23—32no—
1374C23—32no—
1375C23—32no—
1376C23—32no—
1377C23—32no—
1378C23—68no—
1379C23—61no—
1380C23—61no—
1381C23—61no—
1382C23—61no—
1383C23—61no—
1384C23—61no—
1385C23—61no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—124no—
1402C23—124no—
1403C23—242no—
1404C23—242no—
1405C23—242no—
1406C23—242no—
1407C23C22×C4×D312yes—
1408C23C24×D311yescharacteristic
1409Q8—124no—
1410D4—68no—
1411D4—68no—
1412D4—124no—
1413D4—124no—
1414D4—124no—
1415D4—124no—
1416D4—124no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—32no—
1454C2×C4—32no—
1455C2×C4—32no—
1456C2×C4—32no—
1457C2×C4—32no—
1458C2×C4—32no—
1459C2×C4—61no—
1460C2×C4—61no—
1461C2×C4—61no—
1462C2×C4—61no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—82no—
1490C2×C4—124no—
1491C2×C4—124no—
1492C2×C4—124no—
1493C2×C4—124no—
1494C2×C4—124no—
1495C2×C4—124no—
1496C2×C4—242no—
1497C2×C4—242no—
1498C2×C4—242no—
1499C2×C4—242no—
1500C2×C4—242no—
1501C2×C4—242no—
1502C2×C4—242no—
1503C2×C4—242no—
1504C2×C4—242no—
1505C2×C4C22×C4×D312yes—
1506C2×C4C22×C4×D312yes—
1507C2×C4C22×C4×D312yes—
1508C2×C4C22×C4×D312yes—
1509C2×C4C22×C4×D312yes—
1510C2×C4C22×C4×D312yes—
1511C2×C3—42no—
1512C2×C3C2×#52011yescharacteristic
1513C2×C3C4×H(5,𝔽2)11yescharacteristic
1514C2×C3C4×H(5,𝔽2)11yescharacteristic
1515C2×C3#353511yescharacteristic
1516C2×C3#353711yescharacteristic
1517C2×C3#356011yescharacteristic
1518C2×C3#356111yescharacteristic
1519D3—24no—
1520D3—42no—
1521D3—42no—
1522D3—42no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—34no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—62no—
1532C22—62no—
1533C22—62no—
1534C22—62no—
1535C22—62no—
1536C22—62no—
1537C22—62no—
1538C22—62no—
1539C22—62no—
1540C22—62no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—121no—
1547C22—121no—
1548C22—121no—
1549C22—121no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—248no—
1559C22C23×C4×D311yescharacteristic
1560C22D3×H(5,𝔽2)11yescharacteristic
1561C22D3×H(5,𝔽2)11yescharacteristic
1562C22D3×H(5,𝔽2)11yescharacteristic
1563C22D3×2−1+411yescharacteristic
1564C22#596811yescharacteristic
1565C22#596811yescharacteristic
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—62no—
1581C4—62no—
1582C4—62no—
1583C4—62no—
1584C4—62no—
1585C4—62no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4—121no—
1590C4—121no—
1591C4—121no—
1592C3#3442611yescharacteristic, complemented, Sylow
1593C2—42no—
1594C2—64no—
1595C2—122no—
1596C2—122no—
1597C2—122no—
1598C2#8588611yescharacteristic
1599C2#8588611yescharacteristic
1600C2D3×#52011yescharacteristic
1601C2#8707111yescharacteristic
1602C2#8712311yescharacteristic
1603C2#8712911yescharacteristic
1604C2#8713511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2383C2
socle, cosocleC23×C3C25
prime radicalC2×#5704C2
hypercenter#2383D3
hypocenterC3#34426
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. #83075C2semidirect
4. #76206C2semidirect
5. #76202C2semidirect
6. #76199C2semidirect
7. #75994C2semidirect
8. #75977C2semidirect
9. #75964C2semidirect
10. #75836C2semidirect
11. #75836C2semidirect
12. #75831C2semidirect
13. D3×#388C2semidirect
14. #75490C2semidirect
15. #75471C2semidirect
16. #75313C2semidirect
17. #75306C2semidirect
18. #75298C2semidirect
19. #75297C2semidirect
20. #74972C2semidirect
21. #74941C2semidirect
22. #74596C2semidirect
23. #74596C2semidirect
24. #74593C2semidirect
25. #74591C2semidirect
26. #74397C2semidirect
27. #74386C2semidirect
28. #74360C2semidirect
29. #74321C2semidirect
30. #74297C2semidirect
31. #74262C2semidirect
37. #5704C4semidirect
48. C2×#893C22semidirect
50. C2×D3×C4⋊C4C22semidirect
51. C2×D3×C4⋊C4C22semidirect
52. C2×#887C22semidirect
67. C3×#389C22semidirect
68. C3×#389C22semidirect
69. C3×#389C22semidirect
73. C3×#387C22semidirect
74. C3×#387C22semidirect
75. C3×#387C22semidirect
79. C3×#384C22semidirect
80. C3×#383C22semidirect
85. #4990C22semidirect
86. #4990C22semidirect
87. #4990C22semidirect
94. #4989C22semidirect
95. #4989C22semidirect
96. #4989C22semidirect
97. #4989C22semidirect
102. #4987C22semidirect
103. #4984C22semidirect
104. #4980C22semidirect
105. #4980C22semidirect
106. #4980C22semidirect
107. #4978C22semidirect
108. #4976C22semidirect
109. #4975C22semidirect
110. Dic3×C4⋊C4C22semidirect
111. Dic3×C4⋊C4C22semidirect
112. #4973C22semidirect
113. #4972C22semidirect
114. #4972C22semidirect
131. #4940C22semidirect
132. #4939C22semidirect
135. C4×(C2×D3)⋊C4C22semidirect
136. C4×C4⋊Dic3C22semidirect
137. #4933C22semidirect
138. #4933C22semidirect
139. #4932C22semidirect
140. C4×Dic3⋊C4C22semidirect
142. #4670C22semidirect
146. #4669C22semidirect
147. #4669C22semidirect
148. #4669C22semidirect
153. #4668C22semidirect
154. #4668C22semidirect
157. #4667C22semidirect
162. #4666C22semidirect
163. #4666C22semidirect
164. #4666C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4664C22semidirect
176. #4664C22semidirect
179. #4655C22semidirect
180. #4653C22semidirect
181. #4653C22semidirect
182. #4651C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4648C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
191. #2383D3semidirect
245. C3×#126C2×C4semidirect
339. #898C2×C4semidirect
340. #896C2×C4semidirect
341. #895C2×C4semidirect
342. #895C2×C4semidirect
343. #894C2×C4semidirect
349. #893C2×C4semidirect
354. #885C2×C4semidirect
355. #884C2×C4semidirect
356. #883C2×C4semidirect
357. #882C2×C4semidirect
358. #882C2×C4semidirect
362. D3×C22⋊C4C2×C4semidirect
363. #875C2×C4semidirect
366. C4×D12C2×C4semidirect
455. #389C2×D3semidirect
456. #389C2×D3semidirect
457. #389C2×D3semidirect
491. #387C2×D3semidirect
492. #387C2×D3semidirect
493. #387C2×D3semidirect
531. #384C2×D3semidirect
533. #383C2×D3semidirect
790. #126C4×D3semidirect
1592. C3#34426semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C3×#23832
#830752
#762062
#762022
#761992
#759942
#759772
#759642
#758362
#758312
D3×#3882
#754902
#754712
#753132
#753062
#752982
#752972
#749722
#749412
#745962
#745932
#745912
#743972
#743862
#743602
#743212
#742972
#742622
#344263