Finite Group Databasebeta

← #11029181

Subgroups — #11029181

Order 768.

2884 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5676C211yesmaximal, characteristic, complemented
2C2×#5610C211yesmaximal, characteristic, complemented
3C3×#2686C211yesmaximal, characteristic, complemented
4#82989C211yesmaximal, characteristic, complemented
5#82715C211yesmaximal, characteristic, complemented
6#77702C211yesmaximal, characteristic, complemented
7#77668C211yesmaximal, characteristic, complemented
8#77258C211yesmaximal, characteristic, complemented
9#77249C211yesmaximal, characteristic, complemented
10#77130C211yesmaximal, characteristic, complemented
11#77123C211yesmaximal, characteristic, complemented
12#77116C211yesmaximal, characteristic, complemented
13#77110C211yesmaximal, characteristic, complemented
14#77110C211yesmaximal, characteristic, complemented
15#77107C211yesmaximal, characteristic, complemented
16#76869C211yesmaximal, characteristic, complemented
17#76864C211yesmaximal, characteristic, complemented
18#75848C211yesmaximal, characteristic, complemented
19#75829C211yesmaximal, characteristic, complemented
20#75360C211yesmaximal, characteristic, complemented
21#75315C211yesmaximal, characteristic, complemented
22#74935C211yesmaximal, characteristic, complemented
23#74927C211yesmaximal, characteristic, complemented
24D3×#386C211yesmaximal, characteristic, complemented
25#74819C211yesmaximal, characteristic, complemented
26#74608C211yesmaximal, characteristic, complemented
27#74591C211yesmaximal, characteristic, complemented
28#74127C211yesmaximal, characteristic, complemented
29#74126C211yesmaximal, characteristic, complemented
30#74037C211yesmaximal, characteristic, complemented
31D3×#380C211yesmaximal, characteristic, complemented
32#37860—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#935C2211yescharacteristic
46C2×#929C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49#5676—28no—
50#5610—28no—
51C2×#896C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic, complemented
54C2×D3×C4⋊C4C2211yescharacteristic, complemented
55C2×D3×C4⋊C4C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C2×C4×D12C2211yescharacteristic
77C3×#397C2211yescharacteristic, complemented
78C3×#395C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#393C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88C3×#381C2211yescharacteristic, complemented
89C3×#380C2211yescharacteristic, complemented
90#5230C2211yescharacteristic, complemented
91#5230C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5220C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5212C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4990C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4987C2211yescharacteristic
109#4987C2211yescharacteristic
110#4987C2211yescharacteristic
111#4987C2211yescharacteristic
112#4981C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic, complemented
122#4958C2211yescharacteristic, complemented
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4953C2211yescharacteristic, complemented
133#4953C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4952C2211yescharacteristic, complemented
136#4952C2211yescharacteristic, complemented
137#4952C2211yescharacteristic, complemented
138#4950C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4949C2211yescharacteristic, complemented
141#4946C2211yescharacteristic, complemented
142#4946C2211yescharacteristic, complemented
143#4946C2211yescharacteristic, complemented
144#4946C2211yescharacteristic, complemented
145#4942C2211yescharacteristic, complemented
146#4942C2211yescharacteristic, complemented
147#4942C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4672C2211yescharacteristic, complemented
155#4672C2211yescharacteristic, complemented
156#4668C2211yescharacteristic, complemented
157#4668C2211yescharacteristic, complemented
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4668C2211yescharacteristic, complemented
161#4667C2211yescharacteristic
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic, complemented
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4659C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#546—31no—
192#2847—31no—
193#2717—31no—
194#2717—31no—
195#2708—31no—
196#2708—31no—
197#2686—31no—
198#2686D311yescharacteristic, complemented
199#2671—31no—
200#2671—31no—
201#2659—31no—
202#2617—31no—
203#2564—31no—
204#2564—31no—
205#2443—31no—
206#2443—31no—
207#2430—31no—
208#2430—31no—
209#2419—31no—
210#2419—31no—
211#2412—31no—
212#2412—31no—
213#2412—31no—
214#2412—31no—
215#2406—31no—
216#2406—31no—
217#2325—31no—
218#2315—31no—
219C2×#386—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×#239—24no—
241C2×#239—42no—
242C2×#239—42no—
243C2×#237—24no—
244C2×#237—42no—
245C2×#237—42no—
246C2×D3×D4—42no—
247C2×D3×D4—42no—
248C2×D3×D4D418yescomplemented
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×C4×D3—24no—
254C22×C4×D3—42no—
255C22×C4×D3—42no—
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#124—24no—
272C3×#121—24no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303#946—24no—
304#939—24no—
305#939—42no—
306#938—24no—
307#937—24no—
308#937—24no—
309#935—24no—
310#929—42no—
311C4×#67—24no—
312C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#896—24no—
363#894—24no—
364#894—42no—
365D3×C4⋊C4—42no—
366D3×C4⋊C4—42no—
367#885—24no—
368#884—24no—
369#884—24no—
370#884—24no—
371#884—24no—
372#884—42no—
373#883—24no—
374#883—24no—
375#883—42no—
376#883—42no—
377#882—24no—
378#882—24no—
379#67⋊C4—24no—
380D3×C22⋊C4—24no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—42no—
385D3×C22⋊C4—42no—
386C4×D12—24no—
387C4×D12—24no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C22×#41—31no—
428C23×D4—31no—
429C24×C4—31no—
430#546—68no—
431#546—68no—
432C2×#124—31no—
433C2×#124C2×D311yescharacteristic
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121C2×D311yescharacteristic
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470#400—31no—
471#400—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397C2×D311yescharacteristic, complemented
488#395—31no—
489#395—31no—
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#394—31no—
501#394—31no—
502#394—31no—
503#394C2×D311yescharacteristic, complemented
504#394C2×D311yescharacteristic, complemented
505#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393C2×D311yescharacteristic, complemented
508#392—31no—
509#392—31no—
510#388—31no—
511#388C2×D311yescharacteristic, complemented
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387C2×D311yescharacteristic, complemented
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#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386C2×D311yescharacteristic
541#386C2×D311yescharacteristic, complemented
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#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic, complemented
560#381—31no—
561#381—31no—
562#381—31no—
563#381C2×D311yescharacteristic, complemented
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380C2×D311yescharacteristic, complemented
579C2×#95—31no—
580C2×#95—31no—
581C2×#95—31no—
582C2×#95—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3C2×D414yes—
599C23×D3C2×D414yes—
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C2×C3×Q8—22no—
605C2×C3×Q8—41no—
606C2×C3×Q8—41no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4C2×D414yes—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67C2×D414yes—
657C2×#67C2×D414yes—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679#239—416no—
680#237—416no—
681D3×D4—416no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12C2×D414yes—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—416no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3C2×D414yes—
736C2×C4×D3#4114yescomplemented
737C2×Dic6—22no—
738C2×Dic6—41no—
739C2×Dic6—41no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—41no—
742C3×C4⋊C4—41no—
743C3×C4⋊C4—41no—
744C3×C4⋊C4—41no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4—41no—
758C3×C42—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—41no—
768#217—41no—
769#217—41no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—41no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801C4⋊Dic3—41no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818C4×Dic3—22no—
819C25—31no—
820C25—31no—
821C2×#41—64no—
822C2×#41—64no—
823C2×#41—122no—
824C2×#41—122no—
825C2×#41—122no—
826C2×#41—122no—
827C22×Q8—31no—
828C22×Q8C22×D311yescharacteristic
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—38no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—122no—
843C22×D4—122no—
844C22×D4C22×D311yescharacteristic
845C22×D4C22×D311yescharacteristic
846C22×D4C22×D311yescharacteristic
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—64no—
865C23×C4—122no—
866C23×C4—122no—
867C23×C4C22×D311yescharacteristic
868C23×C4C22×D311yescharacteristic
869#124—24no—
870#124—64no—
871#123—64no—
872#123—64no—
873#123—64no—
874#123—64no—
875#123—122no—
876#123—122no—
877#123—122no—
878#123—122no—
879C22⋊Q8—64no—
880C22⋊Q8—64no—
881#121—24no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888#121—122no—
889#121—122no—
890#120—64no—
891#120—64no—
892#120—64no—
893#120—64no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—64no—
897C4×D4—64no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—122no—
921C2×C4⋊C4—122no—
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
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—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—64no—
965C2×C22⋊C4—64no—
966C2×C22⋊C4—64no—
967C2×C22⋊C4—64no—
968C2×C22⋊C4—64no—
969C2×C22⋊C4—122no—
970C2×C22⋊C4—122no—
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C42—31no—
985C2×C42C22×D311yescharacteristic
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3C22×D412yes—
1044C23×C3C22×D412yes—
1045C23×C3C2511yescharacteristic
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—28no—
1061C22×D3—28no—
1062C22×D3—28no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—44no—
1071C22×D3—44no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—44no—
1075C22×D3—44no—
1076C22×D3—44no—
1077C22×D3—82no—
1078C22×D3—82no—
1079C22×D3—82no—
1080C22×D3—82no—
1081C22×D3C22×D412yes—
1082C22×D3C22×D412yes—
1083C22×D3C22×D412yes—
1084C22×D3C2×#4112yes—
1085C22×D3H(5,𝔽2)12yes—
1086C22×D3H(5,𝔽2)12yes—
1087C22×D32−1+412yes—
1088C3×Q8—44no—
1089C3×D4—44no—
1090C3×D4—44no—
1091C3×D4—82no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—44no—
1127C2×C3×C4—82no—
1128C2×C3×C4C22×D412yes—
1129C2×C3×C4C2×#4112yes—
1130#67—28no—
1131#67—44no—
1132#67—44no—
1133#67—44no—
1134#67—82no—
1135#67—82no—
1136#67—82no—
1137#67—82no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—44no—
1172C2×Dic3—44no—
1173C2×Dic3—44no—
1174C2×Dic3C22×D412yes—
1175C2×Dic3C2×#4112yes—
1176C2×Dic3H(5,𝔽2)12yes—
1177D12—28no—
1178D12—44no—
1179D12—44no—
1180D12—44no—
1181C4×D3—28no—
1182C4×D3—44no—
1183C4×D3—44no—
1184C4×D3—44no—
1185C4×D3—44no—
1186C4×D3—44no—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—44no—
1190C4×D3—82no—
1191C4×D3—82no—
1192C4×D3—82no—
1193C4×D3—82no—
1194C4×D3—82no—
1195Dic6—44no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—34no—
1200C24—34no—
1201C24—31no—
1202C24—62no—
1203C24—62no—
1204C24—62no—
1205C24—62no—
1206C24—62no—
1207C24—62no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24C23×D311yescharacteristic
1215C24C23×D311yescharacteristic
1216C24C23×D311yescharacteristic
1217#41—1216no—
1218#41—1216no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—62no—
1223C2×Q8—121no—
1224C2×Q8—121no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—34no—
1228C2×D4—34no—
1229C2×D4—34no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—1216no—
1270C2×D4D3×D414yes—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—34no—
1277C22×C4—34no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
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—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
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×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—1216no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C42—22no—
1431C42—62no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3C23×D411yescharacteristic
1454C22×C3C22×#4111yescharacteristic
1455C22×C3C2×H(5,𝔽2)11yescharacteristic
1456C22×C3C2×H(5,𝔽2)11yescharacteristic
1457C22×C3C2×H(5,𝔽2)11yescharacteristic
1458C22×C3C2×2−1+411yescharacteristic
1459C22×C3#58511yescharacteristic
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—22no—
1475C2×D3—416no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—88no—
1488C2×D3#53414yes—
1489C2×D3#54714yes—
1490C3×C4—22no—
1491C3×C4—22no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502Dic3—22no—
1503Dic3—22no—
1504Dic3—22no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—32no—
1534C23—32no—
1535C23—32no—
1536C23—32no—
1537C23—32no—
1538C23—32no—
1539C23—32no—
1540C23—68no—
1541C23—68no—
1542C23—68no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—124no—
1565C23—124no—
1566C23—124no—
1567C23—124no—
1568C23—124no—
1569C23—124no—
1570C23—124no—
1571C23—242no—
1572C23—242no—
1573C23—242no—
1574C23—242no—
1575C23C2×D3×D412yes—
1576C23C2×D3×D412yes—
1577C23C24×D311yescharacteristic
1578Q8—44no—
1579Q8—124no—
1580D4—44no—
1581D4—44no—
1582D4—68no—
1583D4—68no—
1584D4—82no—
1585D4—124no—
1586D4—124no—
1587D4—124no—
1588D4—124no—
1589D4—124no—
1590D4—124no—
1591D4—242no—
1592D4—242no—
1593D4—242no—
1594D4—242no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—32no—
1630C2×C4—32no—
1631C2×C4—32no—
1632C2×C4—44no—
1633C2×C4—68no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—82no—
1668C2×C4—124no—
1669C2×C4—124no—
1670C2×C4—124no—
1671C2×C4—124no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—124no—
1679C2×C4—242no—
1680C2×C4—242no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4—242no—
1684C2×C4C2×D3×D412yes—
1685C2×C4D3×#4112yes—
1686C2×C3—42no—
1687C2×C3—42no—
1688C2×C3—81no—
1689C2×C3C2×#53411yescharacteristic
1690C2×C3C2×#54711yescharacteristic
1691C2×C3#349011yescharacteristic
1692C2×C3#349411yescharacteristic
1693C2×C3#349611yescharacteristic
1694C2×C3#353511yescharacteristic
1695C2×C3#353611yescharacteristic
1696D3—24no—
1697D3—24no—
1698D3—42no—
1699D3—81no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—34no—
1707C22—34no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—62no—
1724C22—62no—
1725C22—62no—
1726C22—62no—
1727C22—62no—
1728C22—62no—
1729C22—62no—
1730C22—62no—
1731C22—62no—
1732C22—62no—
1733C22—62no—
1734C22—62no—
1735C22—62no—
1736C22—62no—
1737C22—62no—
1738C22—1216no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—248no—
1751C22C22×D3×D411yescharacteristic
1752C22C2×D3×#4111yescharacteristic
1753C22#596411yescharacteristic
1754C22D3×H(5,𝔽2)11yescharacteristic
1755C22D3×H(5,𝔽2)11yescharacteristic
1756C22D3×H(5,𝔽2)11yescharacteristic
1757C22D3×2−1+411yescharacteristic
1758C4—22no—
1759C4—22no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—62no—
1771C4—62no—
1772C4—62no—
1773C4—121no—
1774C4—121no—
1775C4—121no—
1776C4—121no—
1777C4—121no—
1778C4—121no—
1779C4—121no—
1780C4—121no—
1781C4—121no—
1782C3#3786011yescharacteristic, complemented, Sylow
1783C2—42no—
1784C2—42no—
1785C2—64no—
1786C2—64no—
1787C2—81no—
1788C2—122no—
1789C2—241no—
1790C2D3×#53411yescharacteristic
1791C2#8641411yescharacteristic
1792C2#8656011yescharacteristic
1793C2#8666511yescharacteristic
1794C2D3×#54711yescharacteristic
1795C2#8696011yescharacteristic
1796C2#8709511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2686C2
hypercenter#2686D3
hypocenterC3#37860
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. C2×#5676C2semidirect
2. C2×#5610C2semidirect
3. C3×#2686C2semidirect
4. #82989C2semidirect
5. #82715C2semidirect
6. #77702C2semidirect
7. #77668C2semidirect
8. #77258C2semidirect
9. #77249C2semidirect
10. #77130C2semidirect
11. #77123C2semidirect
12. #77116C2semidirect
13. #77110C2semidirect
14. #77110C2semidirect
15. #77107C2semidirect
16. #76869C2semidirect
17. #76864C2semidirect
18. #75848C2semidirect
19. #75829C2semidirect
20. #75360C2semidirect
21. #75315C2semidirect
22. #74935C2semidirect
23. #74927C2semidirect
24. D3×#386C2semidirect
25. #74819C2semidirect
26. #74608C2semidirect
27. #74591C2semidirect
28. #74127C2semidirect
29. #74126C2semidirect
30. #74037C2semidirect
31. D3×#380C2semidirect
41. C2×#939C22semidirect
46. C2×#929C22semidirect
53. C2×#894C22semidirect
54. C2×D3×C4⋊C4C22semidirect
55. C2×D3×C4⋊C4C22semidirect
61. C2×#884C22semidirect
64. C2×#883C22semidirect
65. C2×#883C22semidirect
77. C3×#397C22semidirect
78. C3×#395C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
81. C3×#394C22semidirect
82. C3×#393C22semidirect
83. C3×#388C22semidirect
84. C3×#387C22semidirect
86. C3×#386C22semidirect
87. C3×#385C22semidirect
88. C3×#381C22semidirect
89. C3×#380C22semidirect
90. #5230C22semidirect
91. #5230C22semidirect
92. #5223C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
97. #5213C22semidirect
98. #5212C22semidirect
99. #5210C22semidirect
100. #4993C22semidirect
101. #4991C22semidirect
102. #4990C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
107. #4989C22semidirect
112. #4981C22semidirect
113. #4979C22semidirect
114. #4979C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4960C22semidirect
119. #4959C22semidirect
121. #4958C22semidirect
122. #4958C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4953C22semidirect
133. #4953C22semidirect
134. #4952C22semidirect
135. #4952C22semidirect
136. #4952C22semidirect
137. #4952C22semidirect
138. #4950C22semidirect
139. #4950C22semidirect
140. #4949C22semidirect
141. #4946C22semidirect
142. #4946C22semidirect
143. #4946C22semidirect
144. #4946C22semidirect
145. #4942C22semidirect
146. #4942C22semidirect
147. #4942C22semidirect
148. #4933C22semidirect
149. #4933C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4673C22semidirect
154. #4672C22semidirect
155. #4672C22semidirect
156. #4668C22semidirect
157. #4668C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
160. #4668C22semidirect
166. #4667C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4664C22semidirect
179. D3×#95C22semidirect
180. D3×#95C22semidirect
181. #4661C22semidirect
182. #4660C22semidirect
183. #4659C22semidirect
184. #4657C22semidirect
185. #4657C22semidirect
186. #4656C22semidirect
187. #4655C22semidirect
188. #4652C22semidirect
189. #4652C22semidirect
198. #2686D3semidirect
248. C2×D3×D4D4semidirect
487. #397C2×D3semidirect
493. #395C2×D3semidirect
503. #394C2×D3semidirect
504. #394C2×D3semidirect
505. #394C2×D3semidirect
507. #393C2×D3semidirect
511. #388C2×D3semidirect
517. #387C2×D3semidirect
541. #386C2×D3semidirect
559. #385C2×D3semidirect
563. #381C2×D3semidirect
578. #380C2×D3semidirect
736. C2×C4×D3#41semidirect
1782. C3#37860semidirect

Maximal subgroups

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

subgroupindex
C2×#56762
C2×#56102
C3×#26862
#829892
#827152
#777022
#776682
#772582
#772492
#771302
#771232
#771162
#771102
#771072
#768692
#768642
#758482
#758292
#753602
#753152
#749352
#749272
D3×#3862
#748192
#746082
#745912
#741272
#741262
#740372
D3×#3802
#378603