Finite Group Databasebeta

← #11043291

Subgroups — #11043291

Order 768.

2300 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5706C211yesmaximal, characteristic, complemented
2C2×#5637C211yesmaximal, characteristic, complemented
3C3×#2698C211yesmaximal, characteristic, complemented
4#83114C211yesmaximal, characteristic, complemented
5#82792C211yesmaximal, characteristic, complemented
6#78213C211yesmaximal, characteristic, complemented
7#78178C211yesmaximal, characteristic, complemented
8#77970C211yesmaximal, characteristic, complemented
9#77815C211yesmaximal, characteristic, complemented
10#77789C211yesmaximal, characteristic, complemented
11#77784C211yesmaximal, characteristic, complemented
12#77669C211yesmaximal, characteristic, complemented
13#77541C211yesmaximal, characteristic, complemented
14#77535C211yesmaximal, characteristic, complemented
15#77474C211yesmaximal, characteristic, complemented
16#77263C211yesmaximal, characteristic, complemented
17#77199C211yesmaximal, characteristic, complemented
18#76662C211yesmaximal, characteristic, complemented
19#76565C211yesmaximal, characteristic, complemented
20#76097C211yesmaximal, characteristic, complemented
21#76004C211yesmaximal, characteristic, complemented
22#75912C211yesmaximal, characteristic
23#75473C211yesmaximal, characteristic, complemented
24#75153C211yesmaximal, characteristic, complemented
25#74937C211yesmaximal, characteristic, complemented
26#74592C211yesmaximal, characteristic, complemented
27#74431C211yesmaximal, characteristic, complemented
28#74175C211yesmaximal, characteristic, complemented
29#74153C211yesmaximal, characteristic, complemented
30#74131C211yesmaximal, characteristic, complemented
31#74069C211yesmaximal, characteristic, complemented
32#38386—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×#947C2211yescharacteristic
36C2×#946C2211yescharacteristic
37C2×#946C2211yescharacteristic, complemented
38C2×#929C2211yescharacteristic
39C2×C4×#67C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41#5706—28no—
42#5637—28no—
43C2×#898C2211yescharacteristic
44C2×#898C2211yescharacteristic
45C2×#896C2211yescharacteristic
46C2×#896C2211yescharacteristic, complemented
47C2×#896C2211yescharacteristic, complemented
48C2×#895C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic, complemented
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic, complemented
55C2×#892C2211yescharacteristic
56C2×#892C2211yescharacteristic, complemented
57C2×#889C2211yescharacteristic, complemented
58C2×#887C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#885C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#877C2211yescharacteristic
70C2×#876C2211yescharacteristic, complemented
71C2×#874C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic, complemented
73C3×#400C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#397C2211yescharacteristic
77C3×#397C2211yescharacteristic
78C3×#395C2211yescharacteristic, complemented
79C3×#391C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic
82C3×#387C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic
84C3×#382C2211yescharacteristic, complemented
85C3×#381C2211yescharacteristic
86#5231C2211yescharacteristic, complemented
87#5213C2211yescharacteristic
88#4994C2211yescharacteristic
89#4994C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4993C2211yescharacteristic
92#4993C2211yescharacteristic
93#4991C2211yescharacteristic
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic, complemented
97#4990C2211yescharacteristic
98#4990C2211yescharacteristic
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4988C2211yescharacteristic
104#4988C2211yescharacteristic
105#4988C2211yescharacteristic
106#4988C2211yescharacteristic
107#4988C2211yescharacteristic, complemented
108#4988C2211yescharacteristic, complemented
109#4988C2211yescharacteristic, complemented
110#4983C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4979C2211yescharacteristic, complemented
113#4977C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4951C2211yescharacteristic
125#4945C2211yescharacteristic
126#4944C2211yescharacteristic
127#4942C2211yescharacteristic
128Dic3×C22⋊C4C2211yescharacteristic
129#4940C2211yescharacteristic
130#4940C2211yescharacteristic
131#4939C2211yescharacteristic
132#4932C2211yescharacteristic, complemented
133C4×Dic3⋊C4C2211yescharacteristic, complemented
134#4676C2211yescharacteristic
135#4676C2211yescharacteristic
136#4676C2211yescharacteristic, complemented
137#4676C2211yescharacteristic, complemented
138#4676C2211yescharacteristic, complemented
139#4673C2211yescharacteristic
140#4672C2211yescharacteristic
141#4672C2211yescharacteristic
142#4672C2211yescharacteristic
143#4672C2211yescharacteristic
144#4672C2211yescharacteristic
145#4672C2211yescharacteristic, complemented
146#4671C2211yescharacteristic
147#4671C2211yescharacteristic
148#4670C2211yescharacteristic
149#4670C2211yescharacteristic, complemented
150#4670C2211yescharacteristic, complemented
151#4669C2211yescharacteristic
152#4669C2211yescharacteristic
153#4669C2211yescharacteristic
154#4669C2211yescharacteristic
155#4669C2211yescharacteristic
156#4669C2211yescharacteristic, complemented
157#4669C2211yescharacteristic, complemented
158#4669C2211yescharacteristic, complemented
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic, complemented
164#4666C2211yescharacteristic
165#4666C2211yescharacteristic, complemented
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4648C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2850—31no—
193#2705—31no—
194#2702—31no—
195#2698D311yescharacteristic, complemented
196#2685—31no—
197#2683—31no—
198#2681—31no—
199#2681—31no—
200#2669—31no—
201#2636—31no—
202#2630—31no—
203#2610—31no—
204#2609—31no—
205#2604—31no—
206#2602—31no—
207#2558—31no—
208#2554—31no—
209#2536—31no—
210#2534—31no—
211#2519—31no—
212#2472—31no—
213#2461—31no—
214#2457—31no—
215#2445—31no—
216#2418—31no—
217#2346—31no—
218#2328—31no—
219#2321—31no—
220#2290—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#126—24no—
246C3×C22⋊Q8—24no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊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×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269#947—24no—
270#946—24no—
271#946—42no—
272#929—42no—
273C4×#67—24no—
274C2×(C2×D3)⋊C4—24no—
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352#898—24no—
353#898—24no—
354#896—24no—
355#896—42no—
356#896—42no—
357#895—42no—
358#894—24no—
359#894—24no—
360#894—24no—
361#893—24no—
362#893—24no—
363#893—24no—
364#892—24no—
365#892—24no—
366#889—24no—
367#887—24no—
368#886—24no—
369#885—24no—
370#884—24no—
371#883—24no—
372#882—24no—
373#882—24no—
374#882—42no—
375#67⋊C4—24no—
376#67⋊C4—24no—
377D3×C22⋊C4—24no—
378#877D418yescomplemented
379#876—24no—
380#874—24no—
381C42×D3—24no—
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
414#551—68no—
415C2×#127—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126C2×D311yescharacteristic
421C2×#125—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8—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×#117—31no—
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400C2×D311yescharacteristic, complemented
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#398C2×D311yescharacteristic, complemented
461#398C2×D311yescharacteristic, complemented
462#397C2×D311yescharacteristic
463#397C2×D311yescharacteristic
464#396—31no—
465#396—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395C2×D311yescharacteristic, complemented
474#394—31no—
475#394—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#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391C2×D311yescharacteristic, complemented
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389C2×D311yescharacteristic, complemented
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#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388C2×D311yescharacteristic
530#387—31no—
531#387—31no—
532#387—31no—
533#387C2×D311yescharacteristic, complemented
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#386—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385C2×D311yescharacteristic
554#382—31no—
555#382—31no—
556#382C2×D311yescharacteristic, complemented
557#381C2×D311yescharacteristic
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—
569#376—31no—
570#376—31no—
571C24×C3C2411yescharacteristic
572C23×D3—22no—
573C23×D3—22no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3C2411yescharacteristic
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×Q8—22no—
585C2×C3×Q8—41no—
586C2×C3×Q8—41no—
587C22×C3×C4—22no—
588C22×C3×C4—41no—
589C22×C3×C4—41no—
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67—41no—
613C22×Dic3—41no—
614C22×Dic3—41no—
615C22×Dic3C2×D414yes—
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C2×D12—22no—
628C2×D12—22no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—41no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12#4114yes—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×Dic6—22no—
676C2×Dic6—22no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4C2×D414yes—
695C3×C42—22no—
696C3×C42—22no—
697#217—41no—
698#217—41no—
699#217C2×D414yes—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
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—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—41no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4C2×D414yes—
765Dic3⋊C4C2×D414yes—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3C2×D414yes—
776C4×Dic3C2×D414yes—
777C25—31no—
778C22×Q8—31no—
779C22×Q8C22×D311yescharacteristic
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4C22×D311yescharacteristic
801#127—64no—
802#126—24no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—64no—
808#124—64no—
809#123—64no—
810#123—64no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—122no—
815C22⋊Q8—24no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819C22⋊Q8—122no—
820C22⋊Q8—122no—
821#121—64no—
822#121—122no—
823#120—64no—
824#120—64no—
825#120—122no—
826C4×Q8—64no—
827C4×D4—64no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833#117—38no—
834#117—64no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—64no—
936C2×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
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#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3C22×D412yes—
977C23×C3C2511yescharacteristic
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
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—44no—
1012C22×D3—44no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3C2×#4112yes—
1019C22×D3C2×#4112yes—
1020C3×Q8—82no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—82no—
1061C2×C3×C4C22×D412yes—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C2×#4112yes—
1064#67—44no—
1065#67—44no—
1066#67—44no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—44no—
1096C2×Dic3C22×D412yes—
1097C2×Dic3C22×D412yes—
1098C2×Dic3C22×D412yes—
1099C2×Dic3C22×D412yes—
1100C2×Dic3H(5,𝔽2)12yes—
1101D12—44no—
1102D12—44no—
1103D12—44no—
1104D12—82no—
1105D12—82no—
1106D12—82no—
1107D12—82no—
1108D12—82no—
1109D12—82no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—82no—
1116C4×D3—82no—
1117Dic6—44no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C2×Q8—22no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8—62no—
1135C2×Q8—62no—
1136C2×Q8—121no—
1137C2×D4—34no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C2×D4—121no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C22×C4—22no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—34no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—34no—
1233C4⋊C4—34no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—34no—
1262C22⋊C4—41no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
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—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
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⋊C4D3×D414yes—
1311C42—22no—
1312C42—22no—
1313C42—34no—
1314C42—34no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—121no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3C23×D411yescharacteristic
1332C22×C3C22×#4111yescharacteristic
1333C22×C3C2×H(5,𝔽2)11yescharacteristic
1334C22×C3#58511yescharacteristic
1335C22×C3#58511yescharacteristic
1336C22×C3#58511yescharacteristic
1337C22×C3#58511yescharacteristic
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—88no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—41no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—32no—
1406C23—32no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—124no—
1441C23—124no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23C2×D3×D412yes—
1448C23C24×D311yescharacteristic
1449Q8—82no—
1450Q8—124no—
1451D4—124no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457D4—242no—
1458D4—242no—
1459D4—242no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—32no—
1503C2×C4—32no—
1504C2×C4—32no—
1505C2×C4—32no—
1506C2×C4—32no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—82no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4C2×D3×D412yes—
1545C2×C4C2×D3×D412yes—
1546C2×C4D3×#4112yes—
1547C2×C3—42no—
1548C2×C3#344911yescharacteristic
1549C2×C3D4×#4111yescharacteristic
1550C2×C3#348811yescharacteristic
1551C2×C3#349111yescharacteristic
1552C2×C3#351411yescharacteristic
1553C2×C3#355111yescharacteristic
1554C2×C3#356611yescharacteristic
1555D3—42no—
1556D3—42no—
1557D3—81no—
1558D3—81no—
1559D3—81no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—248no—
1603C22C22×D3×D411yescharacteristic
1604C22C2×D3×#4111yescharacteristic
1605C22#596411yescharacteristic
1606C22D3×H(5,𝔽2)11yescharacteristic
1607C22#596811yescharacteristic
1608C22#596811yescharacteristic
1609C22#596811yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—62no—
1625C4—62no—
1626C4—62no—
1627C4—62no—
1628C4—62no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3838611yescharacteristic, complemented, Sylow
1636C2—42no—
1637C2—122no—
1638C2—122no—
1639C2—241no—
1640C2—241no—
1641C2—241no—
1642C2#8633811yescharacteristic
1643C2#8650711yescharacteristic
1644C2#8655411yescharacteristic
1645C2#8662911yescharacteristic
1646C2#8667411yescharacteristic
1647C2#8685911yescharacteristic
1648C2#8712011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2698C2
prime radical#75912C2
hypercenter#2698D3
hypocenterC3#38386
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2698

Complements

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

NH ≅ G/Ntype
1. C2×#5706C2semidirect
2. C2×#5637C2semidirect
3. C3×#2698C2semidirect
4. #83114C2semidirect
5. #82792C2semidirect
6. #78213C2semidirect
7. #78178C2semidirect
8. #77970C2semidirect
9. #77815C2semidirect
10. #77789C2semidirect
11. #77784C2semidirect
12. #77669C2semidirect
13. #77541C2semidirect
14. #77535C2semidirect
15. #77474C2semidirect
16. #77263C2semidirect
17. #77199C2semidirect
18. #76662C2semidirect
19. #76565C2semidirect
20. #76097C2semidirect
21. #76004C2semidirect
23. #75473C2semidirect
24. #75153C2semidirect
25. #74937C2semidirect
26. #74592C2semidirect
27. #74431C2semidirect
28. #74175C2semidirect
29. #74153C2semidirect
30. #74131C2semidirect
31. #74069C2semidirect
37. C2×#946C22semidirect
46. C2×#896C22semidirect
47. C2×#896C22semidirect
51. C2×#894C22semidirect
54. C2×#893C22semidirect
56. C2×#892C22semidirect
57. C2×#889C22semidirect
58. C2×#887C22semidirect
70. C2×#876C22semidirect
72. C2×C42×D3C22semidirect
73. C3×#400C22semidirect
74. C3×#398C22semidirect
75. C3×#398C22semidirect
78. C3×#395C22semidirect
79. C3×#391C22semidirect
80. C3×#389C22semidirect
82. C3×#387C22semidirect
84. C3×#382C22semidirect
86. #5231C22semidirect
89. #4994C22semidirect
90. #4994C22semidirect
96. #4991C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
102. #4989C22semidirect
107. #4988C22semidirect
108. #4988C22semidirect
109. #4988C22semidirect
110. #4983C22semidirect
111. #4980C22semidirect
112. #4979C22semidirect
113. #4977C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
132. #4932C22semidirect
133. C4×Dic3⋊C4C22semidirect
136. #4676C22semidirect
137. #4676C22semidirect
138. #4676C22semidirect
145. #4672C22semidirect
149. #4670C22semidirect
150. #4670C22semidirect
156. #4669C22semidirect
157. #4669C22semidirect
158. #4669C22semidirect
160. #4668C22semidirect
161. #4668C22semidirect
163. #4667C22semidirect
165. #4666C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4655C22semidirect
183. #4655C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4648C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
195. #2698D3semidirect
378. #877D4semidirect
455. #400C2×D3semidirect
460. #398C2×D3semidirect
461. #398C2×D3semidirect
473. #395C2×D3semidirect
494. #391C2×D3semidirect
507. #389C2×D3semidirect
533. #387C2×D3semidirect
556. #382C2×D3semidirect
1635. C3#38386semidirect

Maximal subgroups

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

subgroupindex
C2×#57062
C2×#56372
C3×#26982
#831142
#827922
#782132
#781782
#779702
#778152
#777892
#777842
#776692
#775412
#775352
#774742
#772632
#771992
#766622
#765652
#760972
#760042
#759122
#754732
#751532
#749372
#745922
#744312
#741752
#741532
#741312
#740692
#383863