Finite Group Databasebeta

← #11028737

Subgroups — #11028737

Order 768.

2520 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C211yesmaximal, characteristic, complemented
2C2×#5637C211yesmaximal, characteristic, complemented
3C3×#2687C211yesmaximal, characteristic, complemented
4#82881C211yesmaximal, characteristic, complemented
5#82794C211yesmaximal, characteristic, complemented
6#78345C211yesmaximal, characteristic, complemented
7#78238C211yesmaximal, characteristic, complemented
8#77946C211yesmaximal, characteristic, complemented
9#77850C211yesmaximal, characteristic, complemented
10#77788C211yesmaximal, characteristic, complemented
11#77764C211yesmaximal, characteristic, complemented
12#77668C211yesmaximal, characteristic, complemented
13#77472C211yesmaximal, characteristic, complemented
14#77122C211yesmaximal, characteristic
15#76924C211yesmaximal, characteristic, complemented
16#76871C211yesmaximal, characteristic, complemented
17#76797C211yesmaximal, characteristic, complemented
18#76539C211yesmaximal, characteristic, complemented
19#76520C211yesmaximal, characteristic, complemented
20#75833C211yesmaximal, characteristic, complemented
21#75826C211yesmaximal, characteristic, complemented
22#75687C211yesmaximal, characteristic, complemented
23#75594C211yesmaximal, characteristic, complemented
24#74874C211yesmaximal, characteristic, complemented
25#74714C211yesmaximal, characteristic, complemented
26#74656C211yesmaximal, characteristic, complemented
27#74519C211yesmaximal, characteristic, complemented
28#74130C211yesmaximal, characteristic, complemented
29#74069C211yesmaximal, characteristic, complemented
30#74040C211yesmaximal, characteristic, complemented
31#73862C211yesmaximal, characteristic, complemented
32#37842—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic, complemented
38C2×#946C2211yescharacteristic
39C2×#935C2211yescharacteristic
40C2×#929C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic, complemented
42C22×(C2×D3)⋊C4C2211yescharacteristic
43D3×#123—28no—
44#5637—28no—
45C2×#898C2211yescharacteristic, complemented
46C2×#898C2211yescharacteristic, complemented
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic, complemented
53C2×#893C2211yescharacteristic
54C2×#892C2211yescharacteristic
55C2×#892C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#886C2211yescharacteristic
59C2×#886C2211yescharacteristic, complemented
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#877C2211yescharacteristic, complemented
69C3×#400C2211yescharacteristic, complemented
70C3×#398C2211yescharacteristic, complemented
71C3×#398C2211yescharacteristic, complemented
72C3×#397C2211yescharacteristic, complemented
73C3×#394C2211yescharacteristic
74C3×#393C2211yescharacteristic, complemented
75C3×#391C2211yescharacteristic, complemented
76C3×#388C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic
79C3×#385C2211yescharacteristic, complemented
80C3×#381C2211yescharacteristic, complemented
81C3×#380C2211yescharacteristic, complemented
82#5231C2211yescharacteristic, complemented
83#5229C2211yescharacteristic, complemented
84#5223C2211yescharacteristic
85#5220C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic, complemented
88#5212C2211yescharacteristic, complemented
89#5211C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4994C2211yescharacteristic, complemented
92#4992C2211yescharacteristic, complemented
93#4991C2211yescharacteristic
94#4990C2211yescharacteristic, complemented
95#4989C2211yescharacteristic, complemented
96#4989C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4987C2211yescharacteristic, complemented
99#4987C2211yescharacteristic, complemented
100#4987C2211yescharacteristic, complemented
101#4985C2211yescharacteristic, complemented
102#4982C2211yescharacteristic, complemented
103#4981C2211yescharacteristic, complemented
104#4981C2211yescharacteristic, complemented
105#4977C2211yescharacteristic, complemented
106#4976C2211yescharacteristic, complemented
107#4976C2211yescharacteristic, complemented
108#4972C2211yescharacteristic, complemented
109#4961C2211yescharacteristic, complemented
110#4960C2211yescharacteristic
111#4960C2211yescharacteristic
112#4959C2211yescharacteristic
113#4959C2211yescharacteristic
114#4959C2211yescharacteristic, complemented
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic, complemented
117#4957C2211yescharacteristic, complemented
118#4956C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic, complemented
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4952C2211yescharacteristic, complemented
126#4951C2211yescharacteristic, complemented
127#4951C2211yescharacteristic, complemented
128#4950C2211yescharacteristic, complemented
129#4949C2211yescharacteristic, complemented
130#4948C2211yescharacteristic, complemented
131#4948C2211yescharacteristic, complemented
132#4946C2211yescharacteristic, complemented
133#4946C2211yescharacteristic, complemented
134#4945C2211yescharacteristic, complemented
135#4944C2211yescharacteristic, complemented
136Dic3×C22⋊C4C2211yescharacteristic, complemented
137Dic3×C22⋊C4C2211yescharacteristic, complemented
138#4939C2211yescharacteristic, complemented
139C4×(C2×D3)⋊C4C2211yescharacteristic
140C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
141#4936C2211yescharacteristic, complemented
142#4677C2211yescharacteristic, complemented
143#4676C2211yescharacteristic, complemented
144#4676C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4675C2211yescharacteristic, complemented
147#4674C2211yescharacteristic, complemented
148#4674C2211yescharacteristic, complemented
149#4674C2211yescharacteristic, complemented
150#4671C2211yescharacteristic
151#4670C2211yescharacteristic, complemented
152#4669C2211yescharacteristic, complemented
153#4669C2211yescharacteristic, complemented
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic, complemented
158#4667C2211yescharacteristic
159#4667C2211yescharacteristic, complemented
160#4667C2211yescharacteristic, complemented
161#4667C2211yescharacteristic, complemented
162#4666C2211yescharacteristic, complemented
163#4666C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4664C2211yescharacteristic
174#4664C2211yescharacteristic
175#4664C2211yescharacteristic
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#123—31no—
192#2849—31no—
193#2706—31no—
194#2706—31no—
195#2695—31no—
196#2695—31no—
197#2693—31no—
198#2693—31no—
199#2687—31no—
200#2687D311yescharacteristic, complemented
201#2626—31no—
202#2613—31no—
203#2557—31no—
204#2557—31no—
205#2553—31no—
206#2553—31no—
207#2503—31no—
208#2486—31no—
209#2484—31no—
210#2483—31no—
211#2470—31no—
212#2470—31no—
213#2457—31no—
214#2457—31no—
215#2413—31no—
216#2412—31no—
217#2342—31no—
218#2321—31no—
219#2308—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C2×D3×D4—24no—
234C2×D3×D4—24no—
235C2×D3×D4—42no—
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3—24no—
241C22×C4×D3—24no—
242C22×C4×D3—42no—
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C3×#123—24no—
254C3×C22⋊Q8—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊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×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282#947—24no—
283#946—24no—
284#935—24no—
285#929—24no—
286C4×#67—24no—
287C2×(C2×D3)⋊C4—24no—
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(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×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#898—24no—
351#898—24no—
352#894—24no—
353#894—24no—
354#894—24no—
355#894—24no—
356#894—42no—
357#894—42no—
358#893—24no—
359#892—24no—
360#892—42no—
361D3×C4⋊C4—24no—
362D3×C4⋊C4—24no—
363#886—24no—
364#886—24no—
365#883—24no—
366#883—24no—
367#882—24no—
368#882—24no—
369D3×C22⋊C4—24no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—42no—
372D3×C22⋊C4D418yescomplemented
373#877—24no—
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C23×D4—31no—
415C24×C4—31no—
416#551—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#124—31no—
420C2×#123—31no—
421C2×#123—31no—
422C2×#123—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—68no—
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic, complemented
436C2×#120—31no—
437C2×#120—31no—
438C2×C4×D4—31no—
439C2×C4×D4—31no—
440C2×#117—31no—
441C2×#117—31no—
442C2×#117—31no—
443C22×C4⋊C4—31no—
444C22×C4⋊C4—31no—
445C22×C22⋊C4—31no—
446C22×C22⋊C4—31no—
447C22×C22⋊C4—31no—
448C22×C22⋊C4—31no—
449C22×C22⋊C4—31no—
450#400—31no—
451#400—31no—
452#400—31no—
453#400—31no—
454#400—31no—
455#400C2×D311yescharacteristic, complemented
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#398C2×D311yescharacteristic, complemented
463#398C2×D311yescharacteristic, complemented
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397C2×D311yescharacteristic, complemented
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394C2×D311yescharacteristic
484#393—31no—
485#393C2×D311yescharacteristic, complemented
486#392—31no—
487#392—31no—
488#392—31no—
489#392—31no—
490#391—31no—
491#391C2×D311yescharacteristic, complemented
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388C2×D311yescharacteristic, complemented
507#388C2×D311yescharacteristic, complemented
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386C2×D311yescharacteristic
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385C2×D311yescharacteristic, complemented
540#382—31no—
541#382—31no—
542#381—31no—
543#381—31no—
544#381—31no—
545#381—31no—
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381C2×D311yescharacteristic, complemented
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380C2×D311yescharacteristic, complemented
560#379—31no—
561#379—31no—
562#379—31no—
563#379—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C23×D3—22no—
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3C2×D414yes—
586C23×D3#4114yes—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×Q8—22no—
592C2×C3×Q8—41no—
593C2×C3×Q8—41no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646D3×D4—416no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—416no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3C2×D414yes—
689C2×C4×D3C2×D414yes—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—41no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4C2×D414yes—
708C3×C42—41no—
709#217—22no—
710#217—22no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217C2×D414yes—
717(C2×D3)⋊C4—22no—
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—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
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—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4C2×D414yes—
750(C2×D3)⋊C4C2×D414yes—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—41no—
777C4×Dic3—41no—
778C4×Dic3—41no—
779C25—31no—
780C25—31no—
781C22×Q8C22×D311yescharacteristic
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—64no—
791C22×D4—64no—
792C22×D4—122no—
793C22×D4C22×D311yescharacteristic
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—64no—
807C23×C4—64no—
808C23×C4—122no—
809C23×C4C22×D311yescharacteristic
810C23×C4C22×D311yescharacteristic
811#126—64no—
812#126—64no—
813#124—64no—
814#123—24no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—64no—
822#123—64no—
823#123—64no—
824#123—64no—
825#123—122no—
826#123—122no—
827C22⋊Q8—24no—
828C22⋊Q8—64no—
829#120—64no—
830#120—64no—
831C4×D4—64no—
832C4×D4—64no—
833#117—64no—
834#117—64no—
835#117—122no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—64no—
859C2×C4⋊C4—64no—
860C2×C4⋊C4C22×D311yescharacteristic
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×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—38no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—64no—
912C2×C22⋊C4—64no—
913C2×C22⋊C4—64no—
914C2×C22⋊C4—122no—
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42C22×D311yescharacteristic
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3C22×D412yes—
985C23×C3C2×#4112yes—
986C23×C3C2511yescharacteristic
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
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—28no—
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—82no—
1021C22×D3—82no—
1022C22×D3—82no—
1023C22×D3—82no—
1024C22×D3C22×D412yes—
1025C22×D3C22×D412yes—
1026C22×D3C2×#4112yes—
1027C22×D3C2×#4112yes—
1028C22×D3H(5,𝔽2)12yes—
1029C3×Q8—82no—
1030C3×D4—44no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—44no—
1069C2×C3×C4—82no—
1070C2×C3×C4C22×D412yes—
1071C2×C3×C4C22×D412yes—
1072#67—44no—
1073#67—44no—
1074#67—44no—
1075#67—82no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—44no—
1111C2×Dic3—44no—
1112C2×Dic3C22×D412yes—
1113C2×Dic3C22×D412yes—
1114D12—44no—
1115D12—44no—
1116D12—82no—
1117D12—82no—
1118C4×D3—28no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125C4×D3—82no—
1126C4×D3—82no—
1127C4×D3—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—34no—
1132C24—34no—
1133C24—31no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—121no—
1139C24—121no—
1140C24—121no—
1141C24—121no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24—121no—
1146C24C23×D311yescharacteristic
1147C24C23×D311yescharacteristic
1148C2×Q8—22no—
1149C2×Q8—41no—
1150C2×Q8—41no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—62no—
1155C2×D4—62no—
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—62no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—1216no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—34no—
1185C22×C4—34no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
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—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—1216no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—34no—
1282C22⋊C4—34no—
1283C22⋊C4—34no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
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—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—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—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4D3×D414yes—
1329C42—41no—
1330C42—62no—
1331C42—62no—
1332C42—62no—
1333C42—121no—
1334C42—121no—
1335C42—121no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3C23×D411yescharacteristic
1351C22×C3C22×#4111yescharacteristic
1352C22×C3C2×H(5,𝔽2)11yescharacteristic
1353C22×C3#58511yescharacteristic
1354C22×C3#58511yescharacteristic
1355C22×C3#58511yescharacteristic
1356C22×C3#58511yescharacteristic
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—22no—
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—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—88no—
1386C2×D3#54614yes—
1387C3×C4—22no—
1388C3×C4—22no—
1389C3×C4—41no—
1390C3×C4—41no—
1391C3×C4—41no—
1392C3×C4—41no—
1393C3×C4—41no—
1394C3×C4—41no—
1395C3×C4—41no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400Dic3—22no—
1401Dic3—22no—
1402Dic3—41no—
1403Dic3—41no—
1404Dic3—41no—
1405Dic3—41no—
1406Dic3—41no—
1407Dic3—41no—
1408Dic3—41no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—32no—
1425C23—32no—
1426C23—32no—
1427C23—32no—
1428C23—32no—
1429C23—68no—
1430C23—68no—
1431C23—61no—
1432C23—61no—
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—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—124no—
1455C23—124no—
1456C23—124no—
1457C23—124no—
1458C23—124no—
1459C23—124no—
1460C23—124no—
1461C23—124no—
1462C23—242no—
1463C23—242no—
1464C23—242no—
1465C23—242no—
1466C23C2×D3×D412yes—
1467C23D3×#4112yes—
1468C23C24×D311yescharacteristic
1469Q8—82no—
1470D4—44no—
1471D4—124no—
1472D4—124no—
1473D4—124no—
1474D4—124no—
1475D4—124no—
1476D4—242no—
1477D4—242no—
1478D4—242no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—32no—
1517C2×C4—32no—
1518C2×C4—44no—
1519C2×C4—68no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—82no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—124no—
1562C2×C4—124no—
1563C2×C4—242no—
1564C2×C4—242no—
1565C2×C4—242no—
1566C2×C4C2×D3×D412yes—
1567C2×C4C2×D3×D412yes—
1568C2×C3—42no—
1569C2×C3—42no—
1570C2×C3#344911yescharacteristic
1571C2×C3C2×#54611yescharacteristic
1572C2×C3#348511yescharacteristic
1573C2×C3#349111yescharacteristic
1574C2×C3#349111yescharacteristic
1575C2×C3#353311yescharacteristic
1576C2×C3#353311yescharacteristic
1577D3—24no—
1578D3—42no—
1579D3—42no—
1580D3—81no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—34no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—62no—
1597C22—62no—
1598C22—62no—
1599C22—62no—
1600C22—62no—
1601C22—62no—
1602C22—62no—
1603C22—62no—
1604C22—62no—
1605C22—62no—
1606C22—62no—
1607C22—62no—
1608C22—1216no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—248no—
1625C22C22×D3×D411yescharacteristic
1626C22C2×D3×#4111yescharacteristic
1627C22#596411yescharacteristic
1628C22D3×H(5,𝔽2)11yescharacteristic
1629C22#596611yescharacteristic
1630C22#596811yescharacteristic
1631C22#596811yescharacteristic
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—62no—
1646C4—62no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C3#3784211yescharacteristic, complemented, Sylow
1658C2—42no—
1659C2—42no—
1660C2—64no—
1661C2—122no—
1662C2—122no—
1663C2—241no—
1664C2#8633811yescharacteristic
1665C2#8645311yescharacteristic
1666C2#8655911yescharacteristic
1667C2D3×#54611yescharacteristic
1668C2#8666311yescharacteristic
1669C2#8685911yescharacteristic
1670C2#8710811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2687C2
prime radical#77122C2
hypercenter#2687D3
hypocenterC3#37842
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2687

Complements

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

NH ≅ G/Ntype
1. C2×D3×#123C2semidirect
2. C2×#5637C2semidirect
3. C3×#2687C2semidirect
4. #82881C2semidirect
5. #82794C2semidirect
6. #78345C2semidirect
7. #78238C2semidirect
8. #77946C2semidirect
9. #77850C2semidirect
10. #77788C2semidirect
11. #77764C2semidirect
12. #77668C2semidirect
13. #77472C2semidirect
15. #76924C2semidirect
16. #76871C2semidirect
17. #76797C2semidirect
18. #76539C2semidirect
19. #76520C2semidirect
20. #75833C2semidirect
21. #75826C2semidirect
22. #75687C2semidirect
23. #75594C2semidirect
24. #74874C2semidirect
25. #74714C2semidirect
26. #74656C2semidirect
27. #74519C2semidirect
28. #74130C2semidirect
29. #74069C2semidirect
30. #74040C2semidirect
31. #73862C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
37. C2×#947C22semidirect
41. C2×C4×#67C22semidirect
45. C2×#898C22semidirect
46. C2×#898C22semidirect
52. C2×#894C22semidirect
59. C2×#886C22semidirect
68. C2×#877C22semidirect
69. C3×#400C22semidirect
70. C3×#398C22semidirect
71. C3×#398C22semidirect
72. C3×#397C22semidirect
74. C3×#393C22semidirect
75. C3×#391C22semidirect
76. C3×#388C22semidirect
77. C3×#388C22semidirect
79. C3×#385C22semidirect
80. C3×#381C22semidirect
81. C3×#380C22semidirect
82. #5231C22semidirect
83. #5229C22semidirect
87. #5213C22semidirect
88. #5212C22semidirect
89. #5211C22semidirect
90. #4994C22semidirect
91. #4994C22semidirect
92. #4992C22semidirect
94. #4990C22semidirect
95. #4989C22semidirect
96. #4989C22semidirect
97. #4989C22semidirect
98. #4987C22semidirect
99. #4987C22semidirect
100. #4987C22semidirect
101. #4985C22semidirect
102. #4982C22semidirect
103. #4981C22semidirect
104. #4981C22semidirect
105. #4977C22semidirect
106. #4976C22semidirect
107. #4976C22semidirect
108. #4972C22semidirect
109. #4961C22semidirect
114. #4959C22semidirect
116. #4958C22semidirect
117. #4957C22semidirect
120. #4956C22semidirect
125. #4952C22semidirect
126. #4951C22semidirect
127. #4951C22semidirect
128. #4950C22semidirect
129. #4949C22semidirect
130. #4948C22semidirect
131. #4948C22semidirect
132. #4946C22semidirect
133. #4946C22semidirect
134. #4945C22semidirect
135. #4944C22semidirect
136. Dic3×C22⋊C4C22semidirect
137. Dic3×C22⋊C4C22semidirect
138. #4939C22semidirect
140. C4×(C2×D3)⋊C4C22semidirect
141. #4936C22semidirect
142. #4677C22semidirect
143. #4676C22semidirect
144. #4676C22semidirect
145. #4675C22semidirect
146. #4675C22semidirect
147. #4674C22semidirect
148. #4674C22semidirect
149. #4674C22semidirect
151. #4670C22semidirect
152. #4669C22semidirect
153. #4669C22semidirect
157. #4668C22semidirect
159. #4667C22semidirect
160. #4667C22semidirect
161. #4667C22semidirect
162. #4666C22semidirect
163. #4666C22semidirect
164. #4666C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
180. #4661C22semidirect
181. #4658C22semidirect
182. #4658C22semidirect
183. #4658C22semidirect
184. #4658C22semidirect
185. #4655C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4654C22semidirect
189. #4647C22semidirect
200. #2687D3semidirect
372. D3×C22⋊C4D4semidirect
435. C2×C22⋊Q8C2×D3semidirect
455. #400C2×D3semidirect
462. #398C2×D3semidirect
463. #398C2×D3semidirect
471. #397C2×D3semidirect
485. #393C2×D3semidirect
491. #391C2×D3semidirect
506. #388C2×D3semidirect
507. #388C2×D3semidirect
539. #385C2×D3semidirect
550. #381C2×D3semidirect
559. #380C2×D3semidirect
1657. C3#37842semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×#56372
C3×#26872
#828812
#827942
#783452
#782382
#779462
#778502
#777882
#777642
#776682
#774722
#771222
#769242
#768712
#767972
#765392
#765202
#758332
#758262
#756872
#755942
#748742
#747142
#746562
#745192
#741302
#740692
#740402
#738622
#378423