Finite Group Databasebeta

← #10978361

Subgroups — #10978361

Order 768.

2576 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5528C211yesmaximal, characteristic, complemented
2C2×#5486C211yesmaximal, characteristic, complemented
3C3×#2482C211yesmaximal, characteristic, complemented
4#82283C211yesmaximal, characteristic, complemented
5#82129C211yesmaximal, characteristic, complemented
6#78101C211yesmaximal, characteristic, complemented
7#78024C211yesmaximal, characteristic, complemented
8#78023C211yesmaximal, characteristic, complemented
9#78021C211yesmaximal, characteristic, complemented
10#77481C211yesmaximal, characteristic, complemented
11#77471C211yesmaximal, characteristic, complemented
12#77466C211yesmaximal, characteristic, complemented
13#77462C211yesmaximal, characteristic, complemented
14#75896C211yesmaximal, characteristic, complemented
15#75881C211yesmaximal, characteristic, complemented
16#75866C211yesmaximal, characteristic, complemented
17#75543C211yesmaximal, characteristic, complemented
18#75462C211yesmaximal, characteristic, complemented
19#75460C211yesmaximal, characteristic, complemented
20#75452C211yesmaximal, characteristic, complemented
21#75449C211yesmaximal, characteristic, complemented
22#74611C211yesmaximal, characteristic, complemented
23#74435C211yesmaximal, characteristic, complemented
24#74420C211yesmaximal, characteristic, complemented
25#74409C211yesmaximal, characteristic, complemented
26#74133C211yesmaximal, characteristic, complemented
27#74055C211yesmaximal, characteristic, complemented
28#73830C211yesmaximal, characteristic, complemented
29#73827C211yesmaximal, characteristic, complemented
30#73826C211yesmaximal, characteristic, complemented
31#73824C211yesmaximal, characteristic
32#35523—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic, complemented
35C22×C3×C22⋊C4C2211yescharacteristic
36C2×#953C2211yescharacteristic
37C22×#217C2211yescharacteristic
38C2×#929C2211yescharacteristic, complemented
39C2×C4×#67C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic, complemented
44#5528—28no—
45C2×#898C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic, complemented
47C2×#894C2211yescharacteristic, complemented
48C2×#894C2211yescharacteristic, complemented
49C2×#893C2211yescharacteristic, complemented
50C2×#889C2211yescharacteristic, complemented
51C2×#885C2211yescharacteristic
52C2×#885C2211yescharacteristic
53C2×#884C2211yescharacteristic
54C2×#884C2211yescharacteristic
55C2×#883C2211yescharacteristic, complemented
56C2×#882C2211yescharacteristic
57#5486—28no—
58C2×#67⋊C4C2211yescharacteristic
59C2×#67⋊C4C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic, complemented
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic, complemented
67C2×#878C2211yescharacteristic
68C2×#877C2211yescharacteristic
69C2×#877C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic, complemented
71C2×#872C2211yescharacteristic, complemented
72C2×C42×D3C2211yescharacteristic, complemented
73C2×C4×Dic6C2211yescharacteristic, complemented
74C3×#399C2211yescharacteristic
75C3×#399C2211yescharacteristic, complemented
76C3×#397C2211yescharacteristic
77C3×#397C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#388C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic, complemented
84C3×#381C2211yescharacteristic, complemented
85C3×#379C2211yescharacteristic
86C3×#379C2211yescharacteristic
87#5247C2211yescharacteristic
88#5212C2211yescharacteristic, complemented
89#5211C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4993C2211yescharacteristic, complemented
92#4992C2211yescharacteristic, complemented
93#4991C2211yescharacteristic, complemented
94#4989C2211yescharacteristic, complemented
95#4989C2211yescharacteristic, complemented
96#4989C2211yescharacteristic, complemented
97#4987C2211yescharacteristic, complemented
98#4987C2211yescharacteristic, complemented
99#4980C2211yescharacteristic, complemented
100#4976C2211yescharacteristic, complemented
101#4976C2211yescharacteristic, complemented
102#4976C2211yescharacteristic, complemented
103#4975C2211yescharacteristic, complemented
104Dic3×C4⋊C4C2211yescharacteristic, complemented
105#4972C2211yescharacteristic, complemented
106#4972C2211yescharacteristic, complemented
107#4972C2211yescharacteristic, complemented
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4960C2211yescharacteristic
114#4960C2211yescharacteristic
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4958C2211yescharacteristic, complemented
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic, complemented
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4953C2211yescharacteristic, complemented
132#4952C2211yescharacteristic
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic
136#4951C2211yescharacteristic
137#4950C2211yescharacteristic, complemented
138#4950C2211yescharacteristic, complemented
139#4949C2211yescharacteristic
140#4948C2211yescharacteristic
141#4948C2211yescharacteristic
142#4948C2211yescharacteristic, complemented
143#4946C2211yescharacteristic, complemented
144#4945C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4944C2211yescharacteristic
147#4944C2211yescharacteristic
148#4944C2211yescharacteristic, complemented
149#4942C2211yescharacteristic
150#4942C2211yescharacteristic, complemented
151#4942C2211yescharacteristic, complemented
152Dic3×C22⋊C4C2211yescharacteristic
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4940C2211yescharacteristic, complemented
156#4933C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4653C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4648C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#529—31no—
191C2×#518—31no—
192#2600—31no—
193#2600—31no—
194#2534—31no—
195#2534—31no—
196#2485—31no—
197#2485—31no—
198#2482—31no—
199#2482D311yescharacteristic, complemented
200#2480—31no—
201#2480—31no—
202#2466—31no—
203#2466—31no—
204#2455—31no—
205#2455—31no—
206#2454—31no—
207#2447—31no—
208#2441—31no—
209#2435—31no—
210#2427—31no—
211#2422—31no—
212#2418—31no—
213#2418—31no—
214#2415—31no—
215#2408—31no—
216#2326—31no—
217#2323—31no—
218#2319—31no—
219C4×#121—31no—
220#2290—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67—24no—
226C22×#67—24no—
227C22×#67—24no—
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×Dic6C2311yescharacteristic
248C3×#117—24no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4—24no—
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊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×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274#953—42no—
275C2×#217—24no—
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289#929—42no—
290C4×#67—24no—
291C4×#67—24no—
292C4×#67—24no—
293C4×#67—24no—
294C4×#67D418yescomplemented
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
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#898—24no—
358#896—24no—
359#894—24no—
360#894—42no—
361#893—42no—
362#889—24no—
363#885—24no—
364#885—24no—
365#884—24no—
366#884—24no—
367#883—24no—
368#882—42no—
369#67⋊C4—24no—
370#67⋊C4—24no—
371#67⋊C4—24no—
372#67⋊C4—24no—
373#67⋊C4—24no—
374#67⋊C4—42no—
375D3×C22⋊C4—24no—
376D3×C22⋊C4—24no—
377#879—24no—
378#878—24no—
379#877—24no—
380#877—24no—
381C4×D12—24no—
382#872—24no—
383C42×D3—24no—
384C4×Dic6—24no—
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C23×D4—31no—
418#529—68no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×#121—31no—
431C2×#121—31no—
432C2×#120—31no—
433C2×#120—31no—
434#518—68no—
435C2×C4×Q8—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×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×#117—31no—
450C2×#117—31no—
451C2×#117—31no—
452C2×#117C2×D311yescharacteristic, complemented
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4C2×D311yescharacteristic
457C22×C42—31no—
458#399—31no—
459#399—31no—
460#399C2×D311yescharacteristic
461#399C2×D311yescharacteristic, complemented
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397C2×D311yescharacteristic
471#397C2×D311yescharacteristic, complemented
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#394—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#392—31no—
489#392—31no—
490#391—31no—
491#391—31no—
492#390—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
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#388—31no—
519#388—31no—
520#388C2×D311yescharacteristic
521#388C2×D311yescharacteristic
522#388C2×D311yescharacteristic, complemented
523#388C2×D311yescharacteristic, complemented
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385C2×D311yescharacteristic, complemented
547#385C2×D311yescharacteristic, complemented
548#384—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381C2×D311yescharacteristic, complemented
553#380—31no—
554#380—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—
563#379—31no—
564#379—31no—
565#379C2×D311yescharacteristic
566#379C2×D311yescharacteristic
567C4×C4⋊C4—31no—
568C4×C4⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573#376—31no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2×D414yes—
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—232no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67C2×D414yes—
633C2×#67#4114yes—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3#4114yes—
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—41no—
661C2×D12—41no—
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—41no—
672C2×C4×D3—41no—
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×D3C2×D414yes—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C42—22no—
709C3×C42—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722#217C2×D414yes—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4C2×D414yes—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4C2×D414yes—
774C4×Dic3—22no—
775C4×Dic3—22no—
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×Dic3C2×D414yes—
785C25—31no—
786C25C22×D311yescharacteristic
787C22×Q8—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—64no—
798C22×D4—64no—
799C22×D4—64no—
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×C4C22×D311yescharacteristic
811C23×C4C22×D311yescharacteristic
812#126—64no—
813#126—64no—
814#125—64no—
815#124—64no—
816#124—64no—
817#123—64no—
818#123—64no—
819#123—122no—
820#123—122no—
821C22⋊Q8—64no—
822C22⋊Q8—64no—
823#121—64no—
824#121—64no—
825#120—122no—
826#120—122no—
827C4×Q8—64no—
828C4×D4—38no—
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—
838C4×D4—64no—
839C4×D4—122no—
840C4×D4—122no—
841#117—24no—
842#117—64no—
843#117—64no—
844#117—64no—
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—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C22⋊C4—24no—
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—31no—
916C2×C22⋊C4—64no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4—64no—
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×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×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
944C2×C42—31no—
945C2×C42—31no—
946C2×C42—64no—
947C2×C42C22×D311yescharacteristic
948C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981C23×C3—28no—
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×C3—82no—
1001C23×C3—82no—
1002C23×C3—82no—
1003C23×C3—82no—
1004C23×C3—82no—
1005C23×C3—82no—
1006C23×C3C22×D412yes—
1007C23×C3C2×#4112yes—
1008C23×C3C2×#4112yes—
1009C23×C3C2511yescharacteristic
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—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—28no—
1029C22×D3—82no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3—82no—
1034C22×D3—82no—
1035C22×D3C22×D412yes—
1036C22×D3C2×#4112yes—
1037C22×D3H(5,𝔽2)12yes—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—44no—
1073C2×C3×C4—82no—
1074C2×C3×C4C22×D412yes—
1075C2×C3×C4C22×D412yes—
1076#67—28no—
1077#67—28no—
1078#67—28no—
1079#67—28no—
1080#67—44no—
1081#67—44no—
1082#67—44no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—28no—
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—82no—
1118C2×Dic3—82no—
1119C2×Dic3C22×D412yes—
1120C2×Dic3C22×D412yes—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C2×#4112yes—
1123C2×Dic3C2×#4112yes—
1124C2×Dic3C2×#4112yes—
1125D12—44no—
1126D12—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—82no—
1132C4×D3—82no—
1133C4×D3—82no—
1134Dic6—44no—
1135C24—22no—
1136C24—22no—
1137C24—22no—
1138C24—31no—
1139C24—31no—
1140C24—31no—
1141C24—41no—
1142C24—41no—
1143C24—41no—
1144C24—41no—
1145C24—62no—
1146C24—62no—
1147C24—62no—
1148C24—121no—
1149C24—121no—
1150C24—121no—
1151C24—121no—
1152C24C23×D311yescharacteristic
1153C24C23×D311yescharacteristic
1154C24C23×D311yescharacteristic
1155C2×Q8—62no—
1156C2×Q8—62no—
1157C2×Q8—62no—
1158C2×D4—34no—
1159C2×D4—34no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—632no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C22×C4—22no—
1187C22×C4—31no—
1188C22×C4—34no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—34no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4D3×D414yes—
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—34no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—34no—
1290C22⋊C4—34no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
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—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
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—
1333C42—22no—
1334C42—22no—
1335C42—34no—
1336C42—62no—
1337C42—62no—
1338C42—62no—
1339C42—62no—
1340C42—62no—
1341C42—62no—
1342C42—62no—
1343C42—62no—
1344C42—121no—
1345C42—121no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
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—88no—
1368C22×C3C23×D411yescharacteristic
1369C22×C3C22×#4111yescharacteristic
1370C22×C3C22×#4111yescharacteristic
1371C22×C3C2×H(5,𝔽2)11yescharacteristic
1372C22×C3#58511yescharacteristic
1373C22×C3#58511yescharacteristic
1374C22×C3#58511yescharacteristic
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—88no—
1397C3×C4—22no—
1398C3×C4—22no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409Dic3—22no—
1410Dic3—22no—
1411Dic3—22no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3#52514yes—
1422C23—28no—
1423C23—21no—
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—32no—
1442C23—32no—
1443C23—32no—
1444C23—68no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
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—82no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—242no—
1470C23—242no—
1471C23—242no—
1472C23—242no—
1473C23—242no—
1474C23—242no—
1475C23C2×D3×D412yes—
1476C23D3×#4112yes—
1477C23D3×#4112yes—
1478C23C24×D311yescharacteristic
1479Q8—124no—
1480D4—68no—
1481D4—68no—
1482D4—68no—
1483D4—68no—
1484D4—124no—
1485D4—124no—
1486D4—124no—
1487D4—124no—
1488D4—124no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—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—32no—
1527C2×C4—32no—
1528C2×C4—32no—
1529C2×C4—44no—
1530C2×C4—68no—
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—61no—
1564C2×C4—82no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—242no—
1570C2×C4—242no—
1571C2×C4—242no—
1572C2×C4—242no—
1573C2×C4—242no—
1574C2×C4C2×D3×D412yes—
1575C2×C4C2×D3×D412yes—
1576C2×C3—42no—
1577C2×C3—42no—
1578C2×C3—42no—
1579C2×C3C2×#52511yescharacteristic
1580C2×C3#348511yescharacteristic
1581C2×C3#348811yescharacteristic
1582C2×C3#349411yescharacteristic
1583C2×C3#351011yescharacteristic
1584C2×C3#351311yescharacteristic
1585C2×C3#352111yescharacteristic
1586D3—42no—
1587D3—42no—
1588D3—42no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—88no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—248no—
1633C22C22×D3×D411yescharacteristic
1634C22C2×D3×#4111yescharacteristic
1635C22C2×D3×#4111yescharacteristic
1636C22#596411yescharacteristic
1637C22#596411yescharacteristic
1638C22D3×H(5,𝔽2)11yescharacteristic
1639C22#596611yescharacteristic
1640C4—22no—
1641C4—22no—
1642C4—34no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—62no—
1654C4—62no—
1655C4—62no—
1656C4—121no—
1657C4—121no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C3#3552311yescharacteristic, complemented, Sylow
1666C2—42no—
1667C2—42no—
1668C2—42no—
1669C2—122no—
1670C2—122no—
1671C2—122no—
1672C2#8601211yescharacteristic
1673C2D3×#52511yescharacteristic
1674C2#8633111yescharacteristic
1675C2#8679211yescharacteristic
1676C2#8679411yescharacteristic
1677C2#8679611yescharacteristic
1678C2#8679911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2482C2
prime radical#73824C2
hypercenter#2482D3
hypocenterC3#35523
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2482

Complements

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

NH ≅ G/Ntype
1. C2×#5528C2semidirect
2. C2×#5486C2semidirect
3. C3×#2482C2semidirect
4. #82283C2semidirect
5. #82129C2semidirect
6. #78101C2semidirect
7. #78024C2semidirect
8. #78023C2semidirect
9. #78021C2semidirect
10. #77481C2semidirect
11. #77471C2semidirect
12. #77466C2semidirect
13. #77462C2semidirect
14. #75896C2semidirect
15. #75881C2semidirect
16. #75866C2semidirect
17. #75543C2semidirect
18. #75462C2semidirect
19. #75460C2semidirect
20. #75452C2semidirect
21. #75449C2semidirect
22. #74611C2semidirect
23. #74435C2semidirect
24. #74420C2semidirect
25. #74409C2semidirect
26. #74133C2semidirect
27. #74055C2semidirect
28. #73830C2semidirect
29. #73827C2semidirect
30. #73826C2semidirect
34. C2×C3×#117C22semidirect
38. C2×#929C22semidirect
43. C2×C4×#67C22semidirect
45. C2×#898C22semidirect
46. C2×#896C22semidirect
47. C2×#894C22semidirect
48. C2×#894C22semidirect
49. C2×#893C22semidirect
50. C2×#889C22semidirect
55. C2×#883C22semidirect
63. C2×#67⋊C4C22semidirect
66. C2×#879C22semidirect
70. C2×C4×D12C22semidirect
71. C2×#872C22semidirect
72. C2×C42×D3C22semidirect
73. C2×C4×Dic6C22semidirect
75. C3×#399C22semidirect
77. C3×#397C22semidirect
80. C3×#388C22semidirect
81. C3×#388C22semidirect
82. C3×#385C22semidirect
83. C3×#385C22semidirect
84. C3×#381C22semidirect
88. #5212C22semidirect
89. #5211C22semidirect
90. #4994C22semidirect
91. #4993C22semidirect
92. #4992C22semidirect
93. #4991C22semidirect
94. #4989C22semidirect
95. #4989C22semidirect
96. #4989C22semidirect
97. #4987C22semidirect
98. #4987C22semidirect
99. #4980C22semidirect
100. #4976C22semidirect
101. #4976C22semidirect
102. #4976C22semidirect
103. #4975C22semidirect
104. Dic3×C4⋊C4C22semidirect
105. #4972C22semidirect
106. #4972C22semidirect
107. #4972C22semidirect
111. #4961C22semidirect
112. #4961C22semidirect
120. #4958C22semidirect
127. #4956C22semidirect
131. #4953C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
137. #4950C22semidirect
138. #4950C22semidirect
142. #4948C22semidirect
143. #4946C22semidirect
144. #4945C22semidirect
145. #4945C22semidirect
148. #4944C22semidirect
150. #4942C22semidirect
151. #4942C22semidirect
153. Dic3×C22⋊C4C22semidirect
154. #4940C22semidirect
155. #4940C22semidirect
156. #4933C22semidirect
157. #4933C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4672C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
166. #4669C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4667C22semidirect
172. #4667C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4653C22semidirect
180. #4653C22semidirect
181. #4652C22semidirect
182. #4649C22semidirect
183. #4648C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
199. #2482D3semidirect
294. C4×#67D4semidirect
452. C2×#117C2×D3semidirect
461. #399C2×D3semidirect
471. #397C2×D3semidirect
522. #388C2×D3semidirect
523. #388C2×D3semidirect
546. #385C2×D3semidirect
547. #385C2×D3semidirect
552. #381C2×D3semidirect
1665. C3#35523semidirect

Maximal subgroups

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

subgroupindex
C2×#55282
C2×#54862
C3×#24822
#822832
#821292
#781012
#780242
#780232
#780212
#774812
#774712
#774662
#774622
#758962
#758812
#758662
#755432
#754622
#754602
#754522
#754492
#746112
#744352
#744202
#744092
#741332
#740552
#738302
#738272
#738262
#738242
#355233