Finite Group Databasebeta

← #11635426

Subgroups — #11635426

Order 768.

2660 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5637C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic
3C3×#2449C211yesmaximal, characteristic, complemented
4#82817C211yesmaximal, characteristic, complemented
5#82763C211yesmaximal, characteristic, complemented
6#82759C211yesmaximal, characteristic, complemented
7#82339C211yesmaximal, characteristic, complemented
8C4⋊C4×#67C211yesmaximal, characteristic, complemented
9C2×#4989C211yesmaximal, characteristic, complemented
10#78118C211yesmaximal, characteristic, complemented
11#78103C211yesmaximal, characteristic, complemented
12#77984C211yesmaximal, characteristic, complemented
13#77950C211yesmaximal, characteristic, complemented
14#77441C211yesmaximal, characteristic, complemented
15#77417C211yesmaximal, characteristic, complemented
16#77268C211yesmaximal, characteristic, complemented
17#77174C211yesmaximal, characteristic, complemented
18#76202C211yesmaximal, characteristic, complemented
19#76026C211yesmaximal, characteristic, complemented
20#75315C211yesmaximal, characteristic, complemented
21#75016C211yesmaximal, characteristic, complemented
22#74890C211yesmaximal, characteristic, complemented
23#74702C211yesmaximal, characteristic, complemented
24#74696C211yesmaximal, characteristic, complemented
25#74690C211yesmaximal, characteristic, complemented
26#74600C211yesmaximal, characteristic, complemented
27#74597C211yesmaximal, characteristic, complemented
28#74596C211yesmaximal, characteristic, complemented
29D3×#385C211yesmaximal, characteristic, complemented
30#74415C211yesmaximal, characteristic, complemented
31#74408C211yesmaximal, characteristic, complemented
32#59107—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C4⋊C4C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#944C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#935C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×Dic3⋊C4C2211yescharacteristic
52#5637—28no—
53#5547—28no—
54C2×#898C2211yescharacteristic
55C2×#898C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#893C2211yescharacteristic
61C2×#893C2211yescharacteristic
62C2×#892C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic
65C2×D3×C4⋊C4C2211yescharacteristic, complemented
66C2×#886C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#877C2211yescharacteristic
76C2×C4×D12C2211yescharacteristic
77C2×#872C2211yescharacteristic
78C3×#399C2211yescharacteristic, complemented
79C3×#398C2211yescharacteristic, complemented
80C3×#396C2211yescharacteristic, complemented
81C3×#395C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#387C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#385C2211yescharacteristic
88C3×#385C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5212C2211yescharacteristic
92#5210C2211yescharacteristic
93#5210C2211yescharacteristic
94#5210C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96C2×C3⋊#95C2211yescharacteristic
97C2×C3⋊#95C2211yescharacteristic
98#4992C2211yescharacteristic, complemented
99#4990C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4988C2211yescharacteristic
115#4987C2211yescharacteristic, complemented
116#4984C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4981C2211yescharacteristic, complemented
120#4981C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4980C2211yescharacteristic, complemented
123#4979C2211yescharacteristic, complemented
124#4978C2211yescharacteristic, complemented
125#4976C2211yescharacteristic, complemented
126#4976C2211yescharacteristic, complemented
127#4976C2211yescharacteristic, complemented
128#4976C2211yescharacteristic, complemented
129#4976C2211yescharacteristic, complemented
130#4975C2211yescharacteristic, complemented
131#4975C2211yescharacteristic, complemented
132Dic3×C4⋊C4C2211yescharacteristic, complemented
133#4973C2211yescharacteristic, complemented
134#4961C2211yescharacteristic
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4958C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4950C2211yescharacteristic
147#4949C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4946C2211yescharacteristic
150#4945C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4943C2211yescharacteristic
154#4942C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156#4933C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic
161#4675C2211yescharacteristic, complemented
162#4675C2211yescharacteristic, complemented
163#4675C2211yescharacteristic, complemented
164#4674C2211yescharacteristic
165#4669C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic, complemented
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4660C2211yescharacteristic, complemented
181#4659C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2724—31no—
193#2718—31no—
194#2718—31no—
195#2717—31no—
196#2478—31no—
197#2478—31no—
198#2449—31no—
199#2449D311yescharacteristic, complemented
200#2443—31no—
201#2443—31no—
202#2440—31no—
203#2440—31no—
204#2438—31no—
205#2438—31no—
206#2432—31no—
207#2425—31no—
208#2425—31no—
209#2419—31no—
210#2419—31no—
211#2412—31no—
212#2412—31no—
213#2406—31no—
214#2359—31no—
215#2359—31no—
216#2358—31no—
217D4×C4⋊C4—31no—
218D4×C4⋊C4—31no—
219C2×#385—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C2×#235—24no—
236C2×#235—42no—
237C2×#235—42no—
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3—24no—
241C22×C4×D3—42no—
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
253C22×C4×D3C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C3×C22⋊Q8—24no—
256C3×C22⋊Q8—42no—
257C3×C4×D4—24no—
258C2×C3×C4⋊C4—42no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288#947—24no—
289#946—24no—
290#944—42no—
291#939—24no—
292#937—24no—
293#935—24no—
294C4×#67—24no—
295C4×#67—24no—
296C4×#67—24no—
297C4×#67—24no—
298C2×(C2×D3)⋊C4—24no—
299C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×Dic3⋊C4—42no—
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#898—24no—
362#898—24no—
363#896—24no—
364#894—24no—
365#894—24no—
366#894—24no—
367#893—24no—
368#893—24no—
369#892—24no—
370D3×C4⋊C4—42no—
371D3×C4⋊C4—42no—
372D3×C4⋊C4—42no—
373#886—24no—
374#884—24no—
375#883—24no—
376#883—24no—
377#883—42no—
378#882D418yes—
379D3×C22⋊C4—24no—
380D3×C22⋊C4—24no—
381#878—24no—
382#877—24no—
383C4×D12—24no—
384#872—24no—
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C24×C4—31no—
425#551—68no—
426C2×C4⋊Q8—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8C2×D311yescharacteristic
443C2×C22⋊Q8C2×D311yescharacteristic, complemented
444C2×#121—31no—
445C2×#121—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4C2×D311yescharacteristic
456C2×#117—31no—
457C2×#117—31no—
458C2×#117—31no—
459C22×C4⋊C4—31no—
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4C2×D311yescharacteristic
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399C2×D311yescharacteristic, complemented
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398C2×D311yescharacteristic, complemented
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#396—31no—
489#396C2×D311yescharacteristic, complemented
490#395—31no—
491#395—31no—
492#395—31no—
493#395C2×D311yescharacteristic, complemented
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#391—31no—
501#390—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389C2×D311yescharacteristic, complemented
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387C2×D311yescharacteristic, complemented
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386C2×D311yescharacteristic
533#386C2×D311yescharacteristic
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385C2×D311yescharacteristic
558#385C2×D311yescharacteristic
559#385C2×D311yescharacteristic, complemented
560#384—31no—
561#384—31no—
562#381—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3C2×D414yes—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C2×C3×Q8—22no—
593C2×C3×Q8—41no—
594C2×C3×Q8—41no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67C2×D414yes—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657#235—416no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12C2×D414yes—
663C2×D12C2×D414yes—
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—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—416no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—41no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—22no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—41no—
710C3×C4⋊C4—41no—
711C3×C4⋊C4—41no—
712C3×C4⋊C4—41no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4C2×D414yes—
721C3×C42—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—41no—
729#217#4114yescomplemented
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4C2×D414yes—
752(C2×D3)⋊C4C2×D414yes—
753(C2×D3)⋊C4#4114yescomplemented
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783C4×Dic3—22no—
784C4×Dic3—22no—
785C4×Dic3—22no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C25—31no—
791C2×#41—64no—
792C2×#41—122no—
793C2×#41—122no—
794C22×Q8—31no—
795C22×Q8C22×D311yescharacteristic
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4C22×D311yescharacteristic
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—64no—
818C23×C4—122no—
819C23×C4—122no—
820C23×C4C22×D311yescharacteristic
821C23×C4C22×D311yescharacteristic
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C4⋊Q8—122no—
825#126—64no—
826#126—64no—
827#124—64no—
828#123—64no—
829#123—64no—
830#123—64no—
831#123—64no—
832#123—64no—
833#123—64no—
834#123—64no—
835#123—122no—
836C22⋊Q8—24no—
837C22⋊Q8—42no—
838C22⋊Q8—64no—
839C22⋊Q8—64no—
840C22⋊Q8—64no—
841#121—64no—
842#121—64no—
843#120—38no—
844#120—64no—
845C4×D4—24no—
846C4×D4—64no—
847C4×D4—64no—
848C4×D4—64no—
849C4×D4—64no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853#117—64no—
854#117—64no—
855#117—64no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4—122no—
887C2×C4⋊C4—122no—
888C2×C4⋊C4—122no—
889C2×C4⋊C4—122no—
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—64no—
935C2×C22⋊C4—64no—
936C2×C22⋊C4—64no—
937C2×C22⋊C4—64no—
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42C22×D311yescharacteristic
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3C22×D412yes—
1004C23×C3C2×#4112yes—
1005C23×C32−1+412yes—
1006C23×C3C2511yescharacteristic
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—28no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—28no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3—44no—
1030C22×D3C22×D412yes—
1031C22×D3C22×D412yes—
1032C22×D3C22×D412yes—
1033C22×D3C2×#4112yes—
1034C22×D32−1+412yes—
1035C3×Q8—82no—
1036C3×D4—44no—
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—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—44no—
1073C2×C3×C4—44no—
1074C2×C3×C4—44no—
1075C2×C3×C4—82no—
1076C2×C3×C4C22×D412yes—
1077C2×C3×C4C22×D412yes—
1078C2×C3×C4C2×#4112yes—
1079C2×C3×C4H(5,𝔽2)12yes—
1080#67—28no—
1081#67—44no—
1082#67—44no—
1083#67—44no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—44no—
1119C2×Dic3—44no—
1120C2×Dic3—44no—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C2×#4112yes—
1123C2×Dic3C2×#4112yes—
1124C2×Dic3C2×#4112yes—
1125C2×Dic3H(5,𝔽2)12yes—
1126D12—28no—
1127D12—44no—
1128C4×D3—28no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—44no—
1132C4×D3—44no—
1133C4×D3—44no—
1134C4×D3—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—82no—
1138C4×D3—82no—
1139Dic6—44no—
1140C24—31no—
1141C24—31no—
1142C24—31no—
1143C24—34no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—62no—
1148C24—121no—
1149C24—121no—
1150C24C23×D311yescharacteristic
1151C24C23×D311yescharacteristic
1152#41—1216no—
1153C2×Q8—22no—
1154C2×Q8—41no—
1155C2×Q8—41no—
1156C2×Q8—62no—
1157C2×Q8—62no—
1158C2×Q8—121no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—34no—
1163C2×D4—34no—
1164C2×D4—34no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—1216no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—34no—
1307C22⋊C4—34no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4D3×D414yes—
1342C42—22no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—62no—
1348C42—62no—
1349C42—121no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3#54714yes—
1364C22×C3C23×D411yescharacteristic
1365C22×C3C22×#4111yescharacteristic
1366C22×C3C22×#4111yescharacteristic
1367C22×C3C2×H(5,𝔽2)11yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3C2×2−1+411yescharacteristic
1370C22×C3C2×2−1+411yescharacteristic
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—416no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3#54714yes—
1393C3×C4—22no—
1394C3×C4—22no—
1395C3×C4—22no—
1396C3×C4—22no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406Dic3—22no—
1407Dic3—22no—
1408Dic3—22no—
1409Dic3—22no—
1410Dic3—22no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—32no—
1431C23—32no—
1432C23—32no—
1433C23—32no—
1434C23—32no—
1435C23—68no—
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—68no—
1453C23—124no—
1454C23—124no—
1455C23—124no—
1456C23—124no—
1457C23—124no—
1458C23C2×D3×D412yes—
1459C23#100712yes—
1460C23D3×#4112yes—
1461C23C24×D311yescharacteristic
1462Q8—82no—
1463Q8—124no—
1464D4—44no—
1465D4—68no—
1466D4—68no—
1467D4—124no—
1468D4—124no—
1469D4—124no—
1470D4—124no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—32no—
1507C2×C4—32no—
1508C2×C4—32no—
1509C2×C4—32no—
1510C2×C4—32no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—68no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—82no—
1550C2×C4—124no—
1551C2×C4—124no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—242no—
1562C2×C4—242no—
1563C2×C4C2×D3×D412yes—
1564C2×C4C2×D3×D412yes—
1565C2×C4#100412yes—
1566C2×C4D3×#4112yes—
1567C2×C3—24no—
1568C2×C3—81no—
1569C2×C3C2×#54711yescharacteristic
1570C2×C3C2×#54711yescharacteristic
1571C2×C3#348111yescharacteristic
1572C2×C3#348411yescharacteristic
1573C2×C3#352011yescharacteristic
1574C2×C3#352011yescharacteristic
1575C2×C3#353811yescharacteristic
1576D3—24no—
1577D3—42no—
1578D3—42no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—34no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—62no—
1594C22—62no—
1595C22—62no—
1596C22—62no—
1597C22—62no—
1598C22—62no—
1599C22—62no—
1600C22—62no—
1601C22—62no—
1602C22—62no—
1603C22—62no—
1604C22—62no—
1605C22—1216no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22#563114yes—
1615C22C22×D3×D411yescharacteristic
1616C22C2×#100411yescharacteristic
1617C22C2×#100711yescharacteristic
1618C22C2×D3×#4111yescharacteristic
1619C22C2×D3×#4111yescharacteristic
1620C22D3×H(5,𝔽2)11yescharacteristic
1621C22D3×2−1+411yescharacteristic
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—62no—
1636C4—62no—
1637C4—62no—
1638C4—62no—
1639C4—62no—
1640C4—121no—
1641C4—121no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C3#5910711yescharacteristic, complemented, Sylow
1649C2—24no—
1650C2—64no—
1651C2—81no—
1652C2—122no—
1653C2—122no—
1654C2C2×#563111yescharacteristic
1655C2#8603811yescharacteristic
1656C2#8645611yescharacteristic
1657C2#8662011yescharacteristic
1658C2D3×#54711yescharacteristic
1659C2#8676211yescharacteristic
1660C2#8693411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
prime radicalC2×#5547C2
hypercenter#2449D3
hypocenterC3#59107
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5637C2semidirect
3. C3×#2449C2semidirect
4. #82817C2semidirect
5. #82763C2semidirect
6. #82759C2semidirect
7. #82339C2semidirect
8. C4⋊C4×#67C2semidirect
9. C2×#4989C2semidirect
10. #78118C2semidirect
11. #78103C2semidirect
12. #77984C2semidirect
13. #77950C2semidirect
14. #77441C2semidirect
15. #77417C2semidirect
16. #77268C2semidirect
17. #77174C2semidirect
18. #76202C2semidirect
19. #76026C2semidirect
20. #75315C2semidirect
21. #75016C2semidirect
22. #74890C2semidirect
23. #74702C2semidirect
24. #74696C2semidirect
25. #74690C2semidirect
26. #74600C2semidirect
27. #74597C2semidirect
28. #74596C2semidirect
29. D3×#385C2semidirect
30. #74415C2semidirect
31. #74408C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
41. C2×#944C22semidirect
65. C2×D3×C4⋊C4C22semidirect
70. C2×#883C22semidirect
78. C3×#399C22semidirect
79. C3×#398C22semidirect
80. C3×#396C22semidirect
81. C3×#395C22semidirect
82. C3×#389C22semidirect
83. C3×#387C22semidirect
88. C3×#385C22semidirect
89. #5230C22semidirect
94. #5210C22semidirect
95. C4×#217C22semidirect
98. #4992C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
115. #4987C22semidirect
116. #4984C22semidirect
117. #4983C22semidirect
118. #4982C22semidirect
119. #4981C22semidirect
120. #4981C22semidirect
121. #4981C22semidirect
122. #4980C22semidirect
123. #4979C22semidirect
124. #4978C22semidirect
125. #4976C22semidirect
126. #4976C22semidirect
127. #4976C22semidirect
128. #4976C22semidirect
129. #4976C22semidirect
130. #4975C22semidirect
131. #4975C22semidirect
132. Dic3×C4⋊C4C22semidirect
133. #4973C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
144. #4956C22semidirect
145. #4951C22semidirect
147. #4949C22semidirect
148. #4948C22semidirect
150. #4945C22semidirect
151. #4945C22semidirect
152. #4944C22semidirect
156. #4933C22semidirect
157. C4×Dic3⋊C4C22semidirect
161. #4675C22semidirect
162. #4675C22semidirect
163. #4675C22semidirect
169. #4668C22semidirect
172. #4667C22semidirect
177. #4664C22semidirect
180. #4660C22semidirect
181. #4659C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
199. #2449D3semidirect
443. C2×C22⋊Q8C2×D3semidirect
471. #399C2×D3semidirect
479. #398C2×D3semidirect
489. #396C2×D3semidirect
493. #395C2×D3semidirect
509. #389C2×D3semidirect
523. #387C2×D3semidirect
559. #385C2×D3semidirect
729. #217#41semidirect
753. (C2×D3)⋊C4#41semidirect
1648. C3#59107semidirect

Maximal subgroups

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

subgroupindex
C2×#56372
C2×#55472
C3×#24492
#828172
#827632
#827592
#823392
C4⋊C4×#672
C2×#49892
#781182
#781032
#779842
#779502
#774412
#774172
#772682
#771742
#762022
#760262
#753152
#750162
#748902
#747022
#746962
#746902
#746002
#745972
#745962
D3×#3852
#744152
#744082
#591073