Finite Group Databasebeta

← #10982813

Subgroups — #10982813

Order 768.

2590 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5659C211yesmaximal, characteristic, complemented
2C2×#5545C211yesmaximal, characteristic, complemented
3C3×#2455C211yesmaximal, characteristic, complemented
4#82895C211yesmaximal, characteristic, complemented
5#82852C211yesmaximal, characteristic, complemented
6#82850C211yesmaximal, characteristic, complemented
7#82401C211yesmaximal, characteristic, complemented
8#82398C211yesmaximal, characteristic, complemented
9#82369C211yesmaximal, characteristic, complemented
10#78102C211yesmaximal, characteristic, complemented
11#78017C211yesmaximal, characteristic, complemented
12#77110C211yesmaximal, characteristic, complemented
13D3×#394C211yesmaximal, characteristic, complemented
14#76974C211yesmaximal, characteristic, complemented
15#76919C211yesmaximal, characteristic, complemented
16#76760C211yesmaximal, characteristic
17#76679C211yesmaximal, characteristic, complemented
18#76230C211yesmaximal, characteristic, complemented
19#76222C211yesmaximal, characteristic, complemented
20#76200C211yesmaximal, characteristic, complemented
21#75995C211yesmaximal, characteristic, complemented
22#75898C211yesmaximal, characteristic, complemented
23#75843C211yesmaximal, characteristic, complemented
24#75832C211yesmaximal, characteristic, complemented
25#75519C211yesmaximal, characteristic, complemented
26#74624C211yesmaximal, characteristic, complemented
27#74617C211yesmaximal, characteristic, complemented
28#74597C211yesmaximal, characteristic, complemented
29#74595C211yesmaximal, characteristic, complemented
30#74455C211yesmaximal, characteristic, complemented
31#74436C211yesmaximal, characteristic, complemented
32#35751—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic, complemented
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#936C2211yescharacteristic, complemented
41C2×D4×Dic3C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic, complemented
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48#5659—28no—
49#5545—28no—
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic, complemented
52C2×#896C2211yescharacteristic, complemented
53C2×#893C2211yescharacteristic
54C2×#892C2211yescharacteristic
55C2×#892C2211yescharacteristic
56C2×#892C2211yescharacteristic, complemented
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic, complemented
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#879C2211yescharacteristic, complemented
70C2×#879C2211yescharacteristic, complemented
71C2×C4×D12C2211yescharacteristic
72C2×#872C2211yescharacteristic
73C2×#872C2211yescharacteristic, complemented
74C3×#399C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic, complemented
77C3×#392C2211yescharacteristic
78C3×#389C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5220C2211yescharacteristic, complemented
91#5220C2211yescharacteristic, complemented
92#5213C2211yescharacteristic, complemented
93#5211C2211yescharacteristic, complemented
94#5210C2211yescharacteristic, complemented
95#5210C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4992C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4992C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic, complemented
110#4987C2211yescharacteristic
111#4987C2211yescharacteristic
112#4987C2211yescharacteristic, complemented
113#4987C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4985C2211yescharacteristic, complemented
116#4984C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4978C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124Dic3×C4⋊C4C2211yescharacteristic, complemented
125Dic3×C4⋊C4C2211yescharacteristic, complemented
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4960C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4953C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4950C2211yescharacteristic, complemented
147#4950C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157#4943C2211yescharacteristic, complemented
158#4943C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×C4⋊Dic3C2211yescharacteristic, complemented
164#4933C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4672C2211yescharacteristic
169#4672C2211yescharacteristic
170#4670C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic, complemented
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4664C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic
182#4661C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#518—31no—
192#2638—31no—
193#2630—31no—
194#2613—31no—
195#2602—31no—
196#2600—31no—
197#2485—31no—
198#2483—31no—
199#2468—31no—
200#2468—31no—
201#2466—31no—
202#2466—31no—
203#2461—31no—
204#2459—31no—
205#2457—31no—
206#2455D311yescharacteristic, complemented
207#2438—31no—
208#2437—31no—
209#2415—31no—
210#2413—31no—
211#2412—31no—
212#2412—31no—
213#2395—31no—
214#2392—31no—
215C2×#394—31no—
216#2359—31no—
217#2358—31no—
218#2344—31no—
219#2342—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×D4—24no—
237C2×D3×D4—24no—
238C2×D3×D4—24no—
239C22×D12C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C3×#123—24no—
251C3×#123—42no—
252C3×C4×D4—24no—
253C3×C4×D4—42no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#937—24no—
293#937—24no—
294#936—24no—
295D4×Dic3—24no—
296C4×#67—24no—
297C4×#67—24no—
298C4×#67—24no—
299C4×#67—24no—
300C2×(C2×D3)⋊C4—24no—
301C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357#896—24no—
358#896—24no—
359#896—42no—
360#893—24no—
361#892—24no—
362#892—24no—
363#892—24no—
364D3×C4⋊C4—24no—
365#883—24no—
366#883—24no—
367#883—24no—
368#67⋊C4—24no—
369#67⋊C4—24no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—24no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—42no—
374D3×C22⋊C4—42no—
375D3×C22⋊C4D418yescomplemented
376#879—24no—
377#879—24no—
378C4×D12—24no—
379#872—24no—
380#872—42no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C23×D4—31no—
418#551—68no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#124—31no—
422C2×#123—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123C2×D311yescharacteristic, complemented
426C2×#123C2×D311yescharacteristic, complemented
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×#120—31no—
431C2×#120—31no—
432#518—68no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×C4×D4—31no—
438C2×C4×D4—31no—
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4C2×D311yescharacteristic
443C2×C4×D4C2×D311yescharacteristic, complemented
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117—31no—
449C22×C4⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458#400—31no—
459#399C2×D311yescharacteristic, complemented
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#395—31no—
477#394—31no—
478#394—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#394—31no—
489#394—31no—
490#394—31no—
491#394C2×D311yescharacteristic
492#394C2×D311yescharacteristic, complemented
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392C2×D311yescharacteristic
498#391—31no—
499#390—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389C2×D311yescharacteristic, complemented
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—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#388C2×D311yescharacteristic, complemented
519#388C2×D311yescharacteristic, complemented
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—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#385C2×D311yescharacteristic, complemented
546#385C2×D311yescharacteristic, complemented
547#385C2×D311yescharacteristic, complemented
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562#379—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2×D414yes—
590C23×D3#4114yes—
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
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
623C22×C3×C4C2411yescharacteristic
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658D3×D4—232no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3C2×D414yes—
687C2×C4×D3C2×D414yes—
688C2×C4×D3#4114yes—
689C2×Dic6—22no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4C2×D414yes—
713C3×C42—22no—
714C3×C42—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—41no—
724#217—41no—
725#217—41no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217C2×D414yes—
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—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4C2×D414yes—
754(C2×D3)⋊C4C2×D414yes—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
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—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—41no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C25—31no—
786C25—31no—
787C22×Q8—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—64no—
795C22×D4—64no—
796C22×D4—64no—
797C22×D4C22×D311yescharacteristic
798C22×D4C22×D311yescharacteristic
799C22×D4C22×D311yescharacteristic
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
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×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813C23×C4C22×D311yescharacteristic
814#126—64no—
815#126—64no—
816#124—64no—
817#123—24no—
818#123—42no—
819#123—64no—
820#123—64no—
821#123—64no—
822C22⋊Q8—64no—
823C22⋊Q8—64no—
824C22⋊Q8—122no—
825#120—64no—
826#120—64no—
827C4×D4—24no—
828C4×D4—42no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—64no—
836C4×D4—64no—
837C4×D4—64no—
838#117—64no—
839#117—64no—
840#117—64no—
841#117—64no—
842#117—122no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—64no—
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—38no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—64no—
916C2×C22⋊C4—64no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4—64no—
919C2×C22⋊C4—64no—
920C2×C22⋊C4—122no—
921C2×C22⋊C4—122no—
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
944C2×C42C22×D311yescharacteristic
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#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#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
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×C3C22×D412yes—
1001C23×C3C2×#4112yes—
1002C23×C3C2511yescharacteristic
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—28no—
1020C22×D3—28no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—82no—
1026C22×D3—82no—
1027C22×D3—82no—
1028C22×D3—82no—
1029C22×D3—82no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3C22×D412yes—
1034C22×D3C22×D412yes—
1035C22×D3C2×#4112yes—
1036C22×D3C2×#4112yes—
1037C22×D3C2×#4112yes—
1038C3×D4—28no—
1039C3×D4—44no—
1040C3×D4—82no—
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—21no—
1073C2×C3×C4—82no—
1074C2×C3×C4—82no—
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—28no—
1082#67—44no—
1083#67—44no—
1084#67—82no—
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—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—82no—
1122C2×Dic3—82no—
1123C2×Dic3C22×D412yes—
1124C2×Dic3C22×D412yes—
1125C2×Dic3C2×#4112yes—
1126D12—28no—
1127C4×D3—28no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—44no—
1132C4×D3—82no—
1133C4×D3—82no—
1134C4×D3—82no—
1135C4×D3—82no—
1136Dic6—82no—
1137C24—31no—
1138C24—31no—
1139C24—31no—
1140C24—34no—
1141C24—34no—
1142C24—62no—
1143C24—62no—
1144C24—62no—
1145C24—62no—
1146C24—121no—
1147C24—121no—
1148C24—121no—
1149C24—121no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24C23×D311yescharacteristic
1155C24C23×D311yescharacteristic
1156C24C23×D311yescharacteristic
1157C2×Q8—62no—
1158C2×Q8—121no—
1159C2×Q8—121no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—632no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—34no—
1195C22×C4—34no—
1196C22×C4—34no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
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—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
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×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—34no—
1294C22⋊C4—34no—
1295C22⋊C4—34no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
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—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—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—121no—
1336C22⋊C4D3×D414yes—
1337C42—22no—
1338C42—22no—
1339C42—62no—
1340C42—62no—
1341C42—62no—
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—121no—
1346C42—121no—
1347C42—121no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3C23×D411yescharacteristic
1370C22×C3C22×#4111yescharacteristic
1371C22×C3C22×#4111yescharacteristic
1372C22×C3C2×H(5,𝔽2)11yescharacteristic
1373C22×C3#58511yescharacteristic
1374C22×C3#58511yescharacteristic
1375C22×C3#58511yescharacteristic
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—88no—
1397C2×D3—88no—
1398C2×D3#52514yes—
1399C3×C4—22no—
1400C3×C4—22no—
1401C3×C4—22no—
1402C3×C4—22no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411Dic3—22no—
1412Dic3—22no—
1413Dic3—22no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—32no—
1444C23—32no—
1445C23—32no—
1446C23—32no—
1447C23—32no—
1448C23—68no—
1449C23—68no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23—124no—
1470C23—242no—
1471C23—242no—
1472C23—242no—
1473C23—242no—
1474C23—242no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23C2×D3×D412yes—
1479C23D3×#4112yes—
1480C23C24×D311yescharacteristic
1481Q8—242no—
1482D4—28no—
1483D4—44no—
1484D4—68no—
1485D4—68no—
1486D4—68no—
1487D4—82no—
1488D4—124no—
1489D4—124no—
1490D4—242no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—32no—
1524C2×C4—32no—
1525C2×C4—32no—
1526C2×C4—68no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—82no—
1564C2×C4—82no—
1565C2×C4—82no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—124no—
1570C2×C4—242no—
1571C2×C4—242no—
1572C2×C4—242no—
1573C2×C4—242no—
1574C2×C4—242no—
1575C2×C4—242no—
1576C2×C4C2×D3×D412yes—
1577C2×C4C2×D3×D412yes—
1578C2×C4#100412yes—
1579C2×C4D3×#4112yes—
1580C2×C3—42no—
1581C2×C3—42no—
1582C2×C3—81no—
1583C2×C3C2×#52511yescharacteristic
1584C2×C3#348511yescharacteristic
1585C2×C3#349111yescharacteristic
1586C2×C3#349411yescharacteristic
1587C2×C3#349611yescharacteristic
1588C2×C3#350511yescharacteristic
1589C2×C3#351011yescharacteristic
1590D3—24no—
1591D3—42no—
1592D3—42no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—34no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—62no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—248no—
1636C22—248no—
1637C22C22×D3×D411yescharacteristic
1638C22C2×#100411yescharacteristic
1639C22C2×D3×#4111yescharacteristic
1640C22C2×D3×#4111yescharacteristic
1641C22#596411yescharacteristic
1642C22#596611yescharacteristic
1643C22#596811yescharacteristic
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—62no—
1657C4—62no—
1658C4—62no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C3#3575111yescharacteristic, complemented, Sylow
1670C2—42no—
1671C2—42no—
1672C2—64no—
1673C2—81no—
1674C2—122no—
1675C2—122no—
1676C2D3×#52511yescharacteristic
1677C2#8604411yescharacteristic
1678C2#8645311yescharacteristic
1679C2#8662111yescharacteristic
1680C2#8667811yescharacteristic
1681C2#8670011yescharacteristic
1682C2#8705211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2455C2
prime radical#76760C2
hypercenter#2455D3
hypocenterC3#35751
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2455

Complements

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

NH ≅ G/Ntype
1. C2×#5659C2semidirect
2. C2×#5545C2semidirect
3. C3×#2455C2semidirect
4. #82895C2semidirect
5. #82852C2semidirect
6. #82850C2semidirect
7. #82401C2semidirect
8. #82398C2semidirect
9. #82369C2semidirect
10. #78102C2semidirect
11. #78017C2semidirect
12. #77110C2semidirect
13. D3×#394C2semidirect
14. #76974C2semidirect
15. #76919C2semidirect
17. #76679C2semidirect
18. #76230C2semidirect
19. #76222C2semidirect
20. #76200C2semidirect
21. #75995C2semidirect
22. #75898C2semidirect
23. #75843C2semidirect
24. #75832C2semidirect
25. #75519C2semidirect
26. #74624C2semidirect
27. #74617C2semidirect
28. #74597C2semidirect
29. #74595C2semidirect
30. #74455C2semidirect
31. #74436C2semidirect
34. C2×C3×#123C22semidirect
35. C2×C3×#123C22semidirect
37. C2×C3×C4×D4C22semidirect
40. C2×#936C22semidirect
45. C2×C4×#67C22semidirect
51. C2×#896C22semidirect
52. C2×#896C22semidirect
56. C2×#892C22semidirect
60. C2×#883C22semidirect
69. C2×#879C22semidirect
70. C2×#879C22semidirect
73. C2×#872C22semidirect
74. C3×#399C22semidirect
76. C3×#394C22semidirect
78. C3×#389C22semidirect
79. C3×#389C22semidirect
80. C3×#388C22semidirect
81. C3×#388C22semidirect
82. C3×#385C22semidirect
83. C3×#385C22semidirect
84. C3×#385C22semidirect
89. #5222C22semidirect
90. #5220C22semidirect
91. #5220C22semidirect
92. #5213C22semidirect
93. #5211C22semidirect
94. #5210C22semidirect
95. #5210C22semidirect
96. C4×#217C22semidirect
97. C4×#217C22semidirect
98. #4992C22semidirect
99. #4992C22semidirect
100. #4992C22semidirect
101. #4992C22semidirect
103. #4990C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
109. #4989C22semidirect
112. #4987C22semidirect
113. #4987C22semidirect
114. #4987C22semidirect
115. #4985C22semidirect
116. #4984C22semidirect
117. #4983C22semidirect
118. #4981C22semidirect
119. #4979C22semidirect
120. #4978C22semidirect
121. #4978C22semidirect
122. #4976C22semidirect
123. #4976C22semidirect
124. Dic3×C4⋊C4C22semidirect
125. Dic3×C4⋊C4C22semidirect
130. #4961C22semidirect
131. #4961C22semidirect
135. #4957C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
142. #4953C22semidirect
143. #4952C22semidirect
144. #4951C22semidirect
145. #4951C22semidirect
146. #4950C22semidirect
147. #4950C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4947C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4944C22semidirect
157. #4943C22semidirect
158. #4943C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. Dic3×C22⋊C4C22semidirect
161. #4940C22semidirect
163. C4×C4⋊Dic3C22semidirect
164. #4933C22semidirect
165. #4928C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
170. #4670C22semidirect
171. #4670C22semidirect
173. #4668C22semidirect
174. #4667C22semidirect
176. #4666C22semidirect
180. #4664C22semidirect
182. #4661C22semidirect
183. #4657C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4653C22semidirect
189. #4646C22semidirect
206. #2455D3semidirect
375. D3×C22⋊C4D4semidirect
425. C2×#123C2×D3semidirect
426. C2×#123C2×D3semidirect
443. C2×C4×D4C2×D3semidirect
459. #399C2×D3semidirect
492. #394C2×D3semidirect
504. #389C2×D3semidirect
505. #389C2×D3semidirect
518. #388C2×D3semidirect
519. #388C2×D3semidirect
545. #385C2×D3semidirect
546. #385C2×D3semidirect
547. #385C2×D3semidirect
1669. C3#35751semidirect

Maximal subgroups

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

subgroupindex
C2×#56592
C2×#55452
C3×#24552
#828952
#828522
#828502
#824012
#823982
#823692
#781022
#780172
#771102
D3×#3942
#769742
#769192
#767602
#766792
#762302
#762222
#762002
#759952
#758982
#758432
#758322
#755192
#746242
#746172
#745972
#745952
#744552
#744362
#357513