Finite Group Databasebeta

← #11633132

Subgroups — #11633132

Order 768.

2814 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic, complemented
3C3×#2560C211yesmaximal, characteristic, complemented
4#83106C211yesmaximal, characteristic, complemented
5#82770C211yesmaximal, characteristic, complemented
6#77967C211yesmaximal, characteristic, complemented
7#77949C211yesmaximal, characteristic, complemented
8#77669C211yesmaximal, characteristic, complemented
9#77466C211yesmaximal, characteristic, complemented
10#77115C211yesmaximal, characteristic, complemented
11#77108C211yesmaximal, characteristic, complemented
12#76863C211yesmaximal, characteristic, complemented
13#76828C211yesmaximal, characteristic, complemented
14#76613C211yesmaximal, characteristic, complemented
15#76564C211yesmaximal, characteristic, complemented
16#76436C211yesmaximal, characteristic, complemented
17#76328C211yesmaximal, characteristic, complemented
18#75852C211yesmaximal, characteristic, complemented
19#75842C211yesmaximal, characteristic, complemented
20#75833C211yesmaximal, characteristic, complemented
21#75683C211yesmaximal, characteristic, complemented
22#75527C211yesmaximal, characteristic, complemented
23#75508C211yesmaximal, characteristic, complemented
24#75339C211yesmaximal, characteristic, complemented
25#75309C211yesmaximal, characteristic, complemented
26D3×#386C211yesmaximal, characteristic, complemented
27#74756C211yesmaximal, characteristic, complemented
28#73772C211yesmaximal, characteristic, complemented
29#73649C211yesmaximal, characteristic, complemented
30#73591C211yesmaximal, characteristic, complemented
31#73561C211yesmaximal, characteristic, complemented
32#59007—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×#946C2211yescharacteristic, complemented
39C2×#938C2211yescharacteristic
40C2×#930C2211yescharacteristic, complemented
41#5705—28no—
42#5627—28no—
43C2×#897C2211yescharacteristic
44C2×#896C2211yescharacteristic, complemented
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic, complemented
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic, complemented
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic, complemented
53C2×#893C2211yescharacteristic, complemented
54C2×#892C2211yescharacteristic
55C2×#892C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic, complemented
57C2×#885C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#883C2211yescharacteristic, complemented
60C2×#883C2211yescharacteristic, complemented
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic, complemented
66C2×#67⋊C4C2211yescharacteristic, complemented
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#879C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic, complemented
74C2×#872C2211yescharacteristic
75C2×#872C2211yescharacteristic
76C3×#398C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#393C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic
82C3×#388C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×C4×C4⋊C4C2211yescharacteristic, complemented
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89#5231C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5220C2211yescharacteristic
93#5213C2211yescharacteristic
94C4×#217C2211yescharacteristic, complemented
95#4993C2211yescharacteristic, complemented
96#4993C2211yescharacteristic, complemented
97#4991C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic, complemented
104#4986C2211yescharacteristic, complemented
105#4984C2211yescharacteristic, complemented
106#4980C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic, complemented
113#4960C2211yescharacteristic
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic, complemented
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic
121#4957C2211yescharacteristic, complemented
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4953C2211yescharacteristic, complemented
131#4951C2211yescharacteristic, complemented
132#4948C2211yescharacteristic, complemented
133#4945C2211yescharacteristic, complemented
134#4944C2211yescharacteristic, complemented
135#4944C2211yescharacteristic, complemented
136#4942C2211yescharacteristic, complemented
137#4942C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4939C2211yescharacteristic
142#4939C2211yescharacteristic, complemented
143#4939C2211yescharacteristic, complemented
144C4×(C2×D3)⋊C4C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4673C2211yescharacteristic, complemented
153#4672C2211yescharacteristic, complemented
154#4672C2211yescharacteristic, complemented
155#4671C2211yescharacteristic, complemented
156#4670C2211yescharacteristic, complemented
157#4670C2211yescharacteristic, complemented
158#4670C2211yescharacteristic, complemented
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic, complemented
161#4667C2211yescharacteristic
162#4667C2211yescharacteristic, complemented
163#4667C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4666C2211yescharacteristic, complemented
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4664C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic
182D3×#95C2211yescharacteristic
183D3×#95C2211yescharacteristic, complemented
184#4661C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2703—31no—
193#2702—31no—
194#2692—31no—
195#2671—31no—
196#2560D311yescharacteristic, complemented
197#2555—31no—
198#2498—31no—
199#2477—31no—
200#2472—31no—
201#2467—31no—
202#2467—31no—
203#2464—31no—
204#2459—31no—
205#2457—31no—
206#2438—31no—
207#2427—31no—
208#2425—31no—
209#2418—31no—
210#2411—31no—
211#2410—31no—
212#2408—31no—
213#2404—31no—
214#2364—31no—
215#2363—31no—
216#2359—31no—
217#2342—31no—
218#2339—31no—
219C2×#386—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C2×#239—24no—
234C2×#239—24no—
235C2×#239—42no—
236C2×D3×D4—24no—
237C2×D3×D4—42no—
238C2×D3×D4—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×C4×D3—24no—
248C22×C4×D3—24no—
249C22×C4×D3—42no—
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×#126—24no—
265C3×C22⋊Q8—24no—
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295#946—24no—
296#938—42no—
297#930—24no—
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×(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×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#897—24no—
357#896—24no—
358#895—24no—
359#895—24no—
360#895—24no—
361#894—24no—
362#894—24no—
363#894D418yescomplemented
364#893—24no—
365#893—24no—
366#893—24no—
367#892—24no—
368#892—24no—
369#885—24no—
370#885—42no—
371#884—42no—
372#883—24no—
373#883—42no—
374#882—24no—
375#882—24no—
376#882—24no—
377#882—42no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380D3×C22⋊C4—24no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—42no—
384#879—24no—
385C4×D12—24no—
386C4×D12—42no—
387#872—24no—
388#872—42no—
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—
424C23×D4—31no—
425C24×C4—31no—
426#551—68no—
427C2×#126—31no—
428C2×#126C2×D311yescharacteristic, complemented
429C2×#124—31no—
430C2×#124—31no—
431#525—68no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×#117—31no—
459C2×#117—31no—
460C2×#117—31no—
461C2×#117—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#400—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398—31no—
472#398C2×D311yescharacteristic, complemented
473#397—31no—
474#397—31no—
475#397C2×D311yescharacteristic, complemented
476#396—31no—
477#396—31no—
478#395—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394C2×D311yescharacteristic
489#393—31no—
490#393—31no—
491#393C2×D311yescharacteristic, complemented
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#391—31no—
500#391C2×D311yescharacteristic, complemented
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#390C2×D311yescharacteristic
506#389—31no—
507#389—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388C2×D311yescharacteristic, complemented
520#388C2×D311yescharacteristic, complemented
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387C2×D311yescharacteristic, complemented
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#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386C2×D311yescharacteristic
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#381—31no—
555#381—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#379—31no—
565#379—31no—
566#379—31no—
567C4×C4⋊C4C2×D311yescharacteristic, complemented
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4C2×D311yescharacteristic, complemented
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—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—22no—
603C2×C3×Q8—41no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—41no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
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×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C22×Dic3—22no—
642C22×Dic3—22no—
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
655#239—416no—
656D3×D4—416no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12C2×D414yes—
680C2×D12#4114yescomplemented
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
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—416no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3C2×D414yes—
720C2×C4×D3#4114yes—
721C2×Dic6—22no—
722C2×Dic6—41no—
723C2×Dic6—41no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4C2×D414yescomplemented
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C42—22no—
743C3×C42—41no—
744C3×C42—41no—
745C3×C42—41no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—41no—
752#217—41no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4C2×D414yes—
787(C2×D3)⋊C4C2×D414yescomplemented
788(C2×D3)⋊C4C2×D414yescomplemented
789C4⋊Dic3—22no—
790C4⋊Dic3—22no—
791C4⋊Dic3—22no—
792C4⋊Dic3—41no—
793C4⋊Dic3—41no—
794C4⋊Dic3—41no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4C2×D414yescomplemented
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C25—31no—
812C25—31no—
813C2×#41—64no—
814C2×#41—64no—
815C2×#41—122no—
816C22×Q8—31no—
817C22×Q8C22×D311yescharacteristic
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—64no—
833C22×D4—122no—
834C22×D4—122no—
835C22×D4C22×D311yescharacteristic
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—64no—
851C23×C4—64no—
852C23×C4—122no—
853C23×C4C22×D311yescharacteristic
854#126—24no—
855#126—64no—
856#124—64no—
857#124—122no—
858#123—38no—
859#123—64no—
860#123—64no—
861#123—64no—
862#123—122no—
863C22⋊Q8—24no—
864C22⋊Q8—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867#121—64no—
868#121—64no—
869#121—64no—
870#121—64no—
871#121—122no—
872#121—122no—
873#120—64no—
874#120—64no—
875#120—64no—
876#120—122no—
877C4×D4—64no—
878C4×D4—64no—
879C4×D4—64no—
880C4×D4—64no—
881C4×D4—64no—
882C4×D4—64no—
883C4×D4—122no—
884#117—64no—
885#117—64no—
886#117—64no—
887#117—122no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—64no—
957C2×C22⋊C4—122no—
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C42—31no—
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42C22×D311yescharacteristic
976C2×C42C22×D311yescharacteristic
977C2×C42C22×D311yescharacteristic
978C2×C42C22×D311yescharacteristic
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
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#95C22×D311yescharacteristic
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3H(5,𝔽2)12yes—
1027C23×C3C2511yescharacteristic
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—28no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
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—44no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3C22×D412yes—
1072C22×D3C22×D412yes—
1073C22×D3C2×#4112yes—
1074C22×D3C2×#4112yes—
1075C22×D3C2×#4112yes—
1076C22×D3H(5,𝔽2)12yes—
1077C3×Q8—44no—
1078C3×D4—44no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
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—44no—
1114C2×C3×C4C22×D412yes—
1115C2×C3×C4C22×D412yes—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4C2×#4112yes—
1118C2×C3×C4C2×#4112yes—
1119#67—44no—
1120#67—44no—
1121#67—44no—
1122#67—44no—
1123#67—82no—
1124#67—82no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
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—44no—
1156C2×Dic3C22×D412yes—
1157C2×Dic3C22×D412yes—
1158C2×Dic3C2×#4112yes—
1159D12—28no—
1160D12—44no—
1161D12—44no—
1162D12—44no—
1163D12—44no—
1164D12—44no—
1165D12—44no—
1166D12—82no—
1167C4×D3—28no—
1168C4×D3—28no—
1169C4×D3—44no—
1170C4×D3—44no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—82no—
1176C4×D3—82no—
1177C4×D3—82no—
1178C4×D3—82no—
1179C4×D3—82no—
1180Dic6—82no—
1181C24—31no—
1182C24—31no—
1183C24—31no—
1184C24—31no—
1185C24—31no—
1186C24—62no—
1187C24—62no—
1188C24—62no—
1189C24—62no—
1190C24—62no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—121no—
1196C24—121no—
1197C24—121no—
1198C24—121no—
1199C24—121no—
1200C24C23×D311yescharacteristic
1201C24C23×D311yescharacteristic
1202#41—1216no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—41no—
1206C2×Q8—62no—
1207C2×Q8—121no—
1208C2×Q8—121no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—34no—
1212C2×D4—34no—
1213C2×D4—41no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—1216no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—34no—
1261C22×C4—34no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—41no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—1216no—
1311C22×C4—121no—
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—34no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4D3×D414yescomplemented
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—34no—
1357C22⋊C4—34no—
1358C22⋊C4—34no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C42—22no—
1403C42—41no—
1404C42—41no—
1405C42—41no—
1406C42—62no—
1407C42—62no—
1408C42—62no—
1409C42—62no—
1410C42—121no—
1411C42—121no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3C23×D411yescharacteristic
1427C22×C3C22×#4111yescharacteristic
1428C22×C3C22×#4111yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3C2×H(5,𝔽2)11yescharacteristic
1431C22×C3#58511yescharacteristic
1432C22×C3#58511yescharacteristic
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—416no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—88no—
1469C2×D3#54614yes—
1470C3×C4—22no—
1471C3×C4—22no—
1472C3×C4—22no—
1473C3×C4—22no—
1474C3×C4—22no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483Dic3—22no—
1484Dic3—22no—
1485Dic3—22no—
1486Dic3—41no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—32no—
1508C23—32no—
1509C23—32no—
1510C23—32no—
1511C23—32no—
1512C23—32no—
1513C23—68no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—124no—
1544C23—124no—
1545C23—124no—
1546C23—124no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—242no—
1554C23—242no—
1555C23—242no—
1556C23#100912yes—
1557C23C24×D311yescharacteristic
1558Q8—44no—
1559Q8—242no—
1560D4—44no—
1561D4—68no—
1562D4—124no—
1563D4—124no—
1564D4—124no—
1565D4—124no—
1566D4—124no—
1567D4—124no—
1568D4—124no—
1569D4—124no—
1570D4—124no—
1571D4—124no—
1572D4—242no—
1573D4—242no—
1574D4—242no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
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—32no—
1610C2×C4—32no—
1611C2×C4—32no—
1612C2×C4—44no—
1613C2×C4—68no—
1614C2×C4—68no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
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—124no—
1646C2×C4—124no—
1647C2×C4—124no—
1648C2×C4—124no—
1649C2×C4—124no—
1650C2×C4—124no—
1651C2×C4—124no—
1652C2×C4—242no—
1653C2×C4—242no—
1654C2×C4—242no—
1655C2×C4—242no—
1656C2×C4—242no—
1657C2×C4C2×D3×D412yes—
1658C2×C4C2×D3×D412yes—
1659C2×C4C2×D3×D412yes—
1660C2×C4D3×#4112yes—
1661C2×C4D3×#4112yes—
1662C2×C3—42no—
1663C2×C3—81no—
1664C2×C3C2×#54611yescharacteristic
1665C2×C3D4×#4111yescharacteristic
1666C2×C3#347511yescharacteristic
1667C2×C3#348811yescharacteristic
1668C2×C3#349011yescharacteristic
1669C2×C3#349411yescharacteristic
1670C2×C3#353311yescharacteristic
1671D3—24no—
1672D3—42no—
1673D3—42no—
1674D3—42no—
1675D3—81no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—34no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—62no—
1692C22—62no—
1693C22—62no—
1694C22—62no—
1695C22—62no—
1696C22—62no—
1697C22—62no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—62no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—1216no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—248no—
1727C22C22×D3×D411yescharacteristic
1728C22C2×D3×#4111yescharacteristic
1729C22C2×D3×#4111yescharacteristic
1730C22C2×#100911yescharacteristic
1731C22#596411yescharacteristic
1732C22D3×H(5,𝔽2)11yescharacteristic
1733C22#596811yescharacteristic
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—62no—
1748C4—62no—
1749C4—62no—
1750C4—121no—
1751C4—121no—
1752C4—121no—
1753C4—121no—
1754C4—121no—
1755C4—121no—
1756C4—121no—
1757C4—121no—
1758C3#5900711yescharacteristic, complemented, Sylow
1759C2—42no—
1760C2—64no—
1761C2—81no—
1762C2—122no—
1763C2—122no—
1764C2—122no—
1765C2—241no—
1766C2#8615611yescharacteristic
1767C2#8623811yescharacteristic
1768C2#8645711yescharacteristic
1769C2D3×#54611yescharacteristic
1770C2#8671311yescharacteristic
1771C2#8681511yescharacteristic
1772C2#8697911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2560C2
hypercenter#2560D3
hypocenterC3#59007
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2560

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5627C2semidirect
3. C3×#2560C2semidirect
4. #83106C2semidirect
5. #82770C2semidirect
6. #77967C2semidirect
7. #77949C2semidirect
8. #77669C2semidirect
9. #77466C2semidirect
10. #77115C2semidirect
11. #77108C2semidirect
12. #76863C2semidirect
13. #76828C2semidirect
14. #76613C2semidirect
15. #76564C2semidirect
16. #76436C2semidirect
17. #76328C2semidirect
18. #75852C2semidirect
19. #75842C2semidirect
20. #75833C2semidirect
21. #75683C2semidirect
22. #75527C2semidirect
23. #75508C2semidirect
24. #75339C2semidirect
25. #75309C2semidirect
26. D3×#386C2semidirect
27. #74756C2semidirect
28. #73772C2semidirect
29. #73649C2semidirect
30. #73591C2semidirect
31. #73561C2semidirect
36. C2×C3×#126C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
38. C2×#946C22semidirect
40. C2×#930C22semidirect
44. C2×#896C22semidirect
47. C2×#895C22semidirect
50. C2×#894C22semidirect
52. C2×#893C22semidirect
53. C2×#893C22semidirect
55. C2×#892C22semidirect
56. C2×#885C22semidirect
57. C2×#885C22semidirect
59. C2×#883C22semidirect
60. C2×#883C22semidirect
65. C2×#67⋊C4C22semidirect
66. C2×#67⋊C4C22semidirect
71. C2×#879C22semidirect
73. C2×C4×D12C22semidirect
76. C3×#398C22semidirect
77. C3×#397C22semidirect
79. C3×#393C22semidirect
80. C3×#391C22semidirect
82. C3×#388C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
87. C3×C4×C4⋊C4C22semidirect
88. C3×C4×C22⋊C4C22semidirect
89. #5231C22semidirect
90. #5229C22semidirect
94. C4×#217C22semidirect
95. #4993C22semidirect
96. #4993C22semidirect
97. #4991C22semidirect
98. #4990C22semidirect
100. #4989C22semidirect
101. #4989C22semidirect
103. #4987C22semidirect
104. #4986C22semidirect
105. #4984C22semidirect
106. #4980C22semidirect
107. #4980C22semidirect
108. #4978C22semidirect
109. #4978C22semidirect
112. #4961C22semidirect
116. #4960C22semidirect
118. #4959C22semidirect
119. #4959C22semidirect
121. #4957C22semidirect
125. #4956C22semidirect
126. #4956C22semidirect
130. #4953C22semidirect
131. #4951C22semidirect
132. #4948C22semidirect
133. #4945C22semidirect
134. #4944C22semidirect
135. #4944C22semidirect
136. #4942C22semidirect
137. #4942C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. #4940C22semidirect
142. #4939C22semidirect
143. #4939C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. #4933C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4673C22semidirect
153. #4672C22semidirect
154. #4672C22semidirect
155. #4671C22semidirect
156. #4670C22semidirect
157. #4670C22semidirect
158. #4670C22semidirect
160. #4668C22semidirect
162. #4667C22semidirect
163. #4667C22semidirect
164. #4666C22semidirect
165. #4666C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
180. #4664C22semidirect
183. D3×#95C22semidirect
184. #4661C22semidirect
185. #4658C22semidirect
186. #4657C22semidirect
187. #4656C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
196. #2560D3semidirect
363. #894D4semidirect
428. C2×#126C2×D3semidirect
440. C2×C22⋊Q8C2×D3semidirect
472. #398C2×D3semidirect
475. #397C2×D3semidirect
491. #393C2×D3semidirect
500. #391C2×D3semidirect
519. #388C2×D3semidirect
520. #388C2×D3semidirect
521. #388C2×D3semidirect
527. #387C2×D3semidirect
567. C4×C4⋊C4C2×D3semidirect
576. C4×C22⋊C4C2×D3semidirect
680. C2×D12#41semidirect
730. C3×C4⋊C4C2×D4semidirect
787. (C2×D3)⋊C4C2×D4semidirect
788. (C2×D3)⋊C4C2×D4semidirect
804. Dic3⋊C4C2×D4semidirect
1347. C4⋊C4D3×D4semidirect
1758. C3#59007semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#56272
C3×#25602
#831062
#827702
#779672
#779492
#776692
#774662
#771152
#771082
#768632
#768282
#766132
#765642
#764362
#763282
#758522
#758422
#758332
#756832
#755272
#755082
#753392
#753092
D3×#3862
#747562
#737722
#736492
#735912
#735612
#590073