Finite Group Databasebeta

← #11069742

Subgroups — #11069742

Order 768.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic, complemented
2C2×#5534C211yesmaximal, characteristic, complemented
3C3×#2474C211yesmaximal, characteristic, complemented
4#82999C211yesmaximal, characteristic, complemented
5#82271C211yesmaximal, characteristic, complemented
6#77691C211yesmaximal, characteristic, complemented
7#77501C211yesmaximal, characteristic, complemented
8#77435C211yesmaximal, characteristic, complemented
9#77316C211yesmaximal, characteristic, complemented
10#77222C211yesmaximal, characteristic, complemented
11#77184C211yesmaximal, characteristic, complemented
12#77129C211yesmaximal, characteristic, complemented
13#76902C211yesmaximal, characteristic, complemented
14#76652C211yesmaximal, characteristic, complemented
15#76633C211yesmaximal, characteristic, complemented
16#75957C211yesmaximal, characteristic, complemented
17#75902C211yesmaximal, characteristic, complemented
18#75856C211yesmaximal, characteristic, complemented
19#75844C211yesmaximal, characteristic, complemented
20#75666C211yesmaximal, characteristic, complemented
21#75597C211yesmaximal, characteristic, complemented
22#75482C211yesmaximal, characteristic, complemented
23#75453C211yesmaximal, characteristic, complemented
24#75379C211yesmaximal, characteristic, complemented
25#75359C211yesmaximal, characteristic, complemented
26#74798C211yesmaximal, characteristic, complemented
27#74728C211yesmaximal, characteristic, complemented
28#74605C211yesmaximal, characteristic, complemented
29#74521C211yesmaximal, characteristic, complemented
30C4×#895C211yesmaximal, characteristic, complemented
31#73679C211yesmaximal, characteristic, complemented
32#39389—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic
35C2×#947C2211yescharacteristic
36C2×#946C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#930C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C2×#924C2211yescharacteristic
42#5678—28no—
43#5534—28no—
44C2×#898C2211yescharacteristic, complemented
45C2×#898C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic, complemented
47C2×#896C2211yescharacteristic, complemented
48C2×#895C2211yescharacteristic
49C2×#886C2211yescharacteristic
50C2×#885C2211yescharacteristic
51C2×#885C2211yescharacteristic
52C2×#885C2211yescharacteristic
53C2×#885C2211yescharacteristic
54C2×#884C2211yescharacteristic
55C2×#884C2211yescharacteristic
56C2×#883C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#882C2211yescharacteristic
59C2×#882C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×#879C2211yescharacteristic
64C2×#878C2211yescharacteristic, complemented
65C2×#876C2211yescharacteristic
66C2×#875C2211yescharacteristic, complemented
67C2×C4×D12C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic, complemented
70C2×C42×D3C2211yescharacteristic, complemented
71C2×#869C2211yescharacteristic, complemented
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#397C2211yescharacteristic
74C3×#396C2211yescharacteristic, complemented
75C3×#395C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic
77C3×#391C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×C4×C4⋊C4C2211yescharacteristic, complemented
86#5231C2211yescharacteristic, complemented
87#5229C2211yescharacteristic, complemented
88#5223C2211yescharacteristic
89#5220C2211yescharacteristic
90#5211C2211yescharacteristic
91#4994C2211yescharacteristic
92#4993C2211yescharacteristic, complemented
93#4991C2211yescharacteristic
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4990C2211yescharacteristic
97#4990C2211yescharacteristic
98#4990C2211yescharacteristic
99#4990C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic, complemented
103#4988C2211yescharacteristic
104#4988C2211yescharacteristic
105#4987C2211yescharacteristic
106#4987C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4983C2211yescharacteristic, complemented
109#4982C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic, complemented
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic, complemented
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic, complemented
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic, complemented
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4953C2211yescharacteristic
133#4953C2211yescharacteristic, complemented
134#4952C2211yescharacteristic
135#4950C2211yescharacteristic, complemented
136#4945C2211yescharacteristic, complemented
137#4944C2211yescharacteristic
138#4942C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic
140Dic3×C22⋊C4C2211yescharacteristic
141Dic3×C22⋊C4C2211yescharacteristic, complemented
142#4940C2211yescharacteristic
143#4940C2211yescharacteristic
144#4940C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4677C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4674C2211yescharacteristic, complemented
155#4673C2211yescharacteristic
156#4673C2211yescharacteristic
157#4673C2211yescharacteristic
158#4673C2211yescharacteristic
159#4672C2211yescharacteristic
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic
162#4671C2211yescharacteristic
163#4670C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic, complemented
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C2×#538—31no—
192#2850—31no—
193#2723—31no—
194#2712—31no—
195#2698—31no—
196#2691—31no—
197#2688—31no—
198#2684—31no—
199#2674—31no—
200#2670—31no—
201#2638—31no—
202#2635—31no—
203#2560—31no—
204#2557—31no—
205#2555—31no—
206#2554—31no—
207#2521—31no—
208#2521—31no—
209#2492—31no—
210#2474D311yescharacteristic, complemented
211#2472—31no—
212#2469—31no—
213#2463—31no—
214#2427—31no—
215#2424—31no—
216#2418—31no—
217#2367—31no—
218#2342—31no—
219C4×#123—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×#124—24no—
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×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278#947—24no—
279#946—24no—
280#939—24no—
281#937—24no—
282#930—24no—
283C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327#924—24no—
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×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349#898—24no—
350#898—24no—
351#896—24no—
352#896—24no—
353#895—24no—
354#886—24no—
355#885—24no—
356#885—24no—
357#885—24no—
358#885—42no—
359#884—24no—
360#884—24no—
361#883—24no—
362#883D418yescomplemented
363#882—24no—
364#882—42no—
365#67⋊C4—24no—
366#67⋊C4—42no—
367D3×C22⋊C4—24no—
368#879—24no—
369#878—42no—
370#876—24no—
371#875—24no—
372C4×D12—24no—
373C4×D12—24no—
374C4×D12—42no—
375C42×D3—42no—
376#869—24no—
377C4×Dic6—24no—
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
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
414#542—68no—
415#538—68no—
416C2×C4⋊Q8—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124C2×D311yescharacteristic
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#120—31no—
442C2×#120—31no—
443C2×#120—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×#117C2×D311yescharacteristic
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397C2×D311yescharacteristic
468#396—31no—
469#396C2×D311yescharacteristic, complemented
470#395—31no—
471#395—31no—
472#395C2×D311yescharacteristic, complemented
473#394—31no—
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#394C2×D311yescharacteristic
484#393—31no—
485#393—31no—
486#393—31no—
487#393—31no—
488#393—31no—
489#392—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391—31no—
496#391—31no—
497#391—31no—
498#391C2×D311yescharacteristic, complemented
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—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#388—31no—
521#388—31no—
522#388C2×D311yescharacteristic
523#388C2×D311yescharacteristic, complemented
524#388C2×D311yescharacteristic, complemented
525#388C2×D311yescharacteristic, complemented
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387C2×D311yescharacteristic, complemented
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386C2×D311yescharacteristic
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385C2×D311yescharacteristic
552#382—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#379—31no—
559#379—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C23×D3—22no—
574C23×D3—22no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×Q8—22no—
585C2×C3×Q8—41no—
586C2×C3×Q8—41no—
587C2×C3×D4—22no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—41no—
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
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—41no—
612C2×#67—41no—
613C2×#67—41no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67C2×D414yes—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
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×D3C2×D414yes—
675C2×Dic6—22no—
676C2×Dic6—22no—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—41no—
680C2×Dic6—41no—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C22⋊C4—22no—
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—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4C2×D414yes—
702C3×C42—22no—
703C3×C42—22no—
704C3×C42—22no—
705C3×C42—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217C2×D414yes—
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—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—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—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4C2×D414yes—
748(C2×D3)⋊C4#4114yes—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—41no—
755C4⋊Dic3C2×D414yes—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4C2×D414yes—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8—31no—
781C22×Q8C22×D311yescharacteristic
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—
792C22×D4—31no—
793C22×D4C22×D311yescharacteristic
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4C22×D311yescharacteristic
803C4⋊Q8—64no—
804#126—64no—
805#126—64no—
806#126—64no—
807#126—64no—
808#124—24no—
809#124—64no—
810#124—64no—
811#124—64no—
812#124—64no—
813#124—64no—
814#124—122no—
815#123—38no—
816#123—64no—
817#123—64no—
818C22⋊Q8—64no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C22⋊Q8—122no—
823#121—64no—
824#121—64no—
825#121—64no—
826#121—64no—
827#121—64no—
828#120—64no—
829#120—64no—
830#120—122no—
831C4×Q8—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—122no—
836C4×D4—122no—
837#117—24no—
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×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
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—64no—
908C2×C22⋊C4—64no—
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—122no—
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
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#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
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×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3C22×D412yes—
984C23×C3C2511yescharacteristic
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×D3C22×D412yes—
1019C22×D3C2×#4112yes—
1020C3×Q8—82no—
1021C3×D4—82no—
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—44no—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C2×#4112yes—
1061C2×C3×C4H(5,𝔽2)12yes—
1062#67—44no—
1063#67—44no—
1064#67—82no—
1065#67—82no—
1066#67—82no—
1067#67—82no—
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—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—82no—
1101C2×Dic3—82no—
1102C2×Dic3C22×D412yes—
1103C2×Dic3C22×D412yes—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C2×#4112yes—
1106D12—44no—
1107D12—44no—
1108D12—44no—
1109D12—82no—
1110D12—82no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—82no—
1115C4×D3—82no—
1116C4×D3—82no—
1117Dic6—44no—
1118Dic6—82no—
1119Dic6—82no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—31no—
1124C24—62no—
1125C24—62no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24—121no—
1131C24C23×D311yescharacteristic
1132C24C23×D311yescharacteristic
1133C2×Q8—22no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—62no—
1137C2×Q8—62no—
1138C2×Q8—62no—
1139C2×Q8—62no—
1140C2×Q8—121no—
1141C2×Q8—121no—
1142C2×Q8—121no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×D4—22no—
1146C2×D4—34no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—62no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
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—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—34no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—41no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—34no—
1237C4⋊C4—34no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—34no—
1267C22⋊C4—34no—
1268C22⋊C4—34no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4D3×D414yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—121no—
1323C42—121no—
1324C42—121no—
1325C42—121no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3C23×D411yescharacteristic
1341C22×C3C22×#4111yescharacteristic
1342C22×C3C2×H(5,𝔽2)11yescharacteristic
1343C22×C3#58511yescharacteristic
1344C22×C3#58511yescharacteristic
1345C22×C3#58511yescharacteristic
1346C22×C3#58511yescharacteristic
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—22no—
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—41no—
1374C2×D3—41no—
1375C2×D3—88no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—32no—
1415C23—32no—
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—61no—
1441C23—61no—
1442C23—124no—
1443C23—124no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23—242no—
1449C23C2×D3×D412yes—
1450C23C24×D311yescharacteristic
1451Q8—82no—
1452Q8—124no—
1453Q8—242no—
1454Q8—242no—
1455D4—82no—
1456D4—124no—
1457D4—124no—
1458D4—124no—
1459D4—124no—
1460D4—124no—
1461D4—242no—
1462D4—242no—
1463D4—242no—
1464D4—242no—
1465D4—242no—
1466D4—242no—
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—44no—
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—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4—242no—
1547C2×C4C2×D3×D412yes—
1548C2×C4C2×D3×D412yes—
1549C2×C4D3×#4112yes—
1550C2×C4#100912yes—
1551C2×C3—42no—
1552C2×C3—81no—
1553C2×C3#345511yescharacteristic
1554C2×C3D4×#4111yescharacteristic
1555C2×C3#349611yescharacteristic
1556C2×C3#350011yescharacteristic
1557C2×C3#351311yescharacteristic
1558C2×C3#354011yescharacteristic
1559C2×C3#356811yescharacteristic
1560D3—42no—
1561D3—42no—
1562D3—81no—
1563D3—81no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—62no—
1582C22—62no—
1583C22—62no—
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—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—248no—
1607C22C22×D3×D411yescharacteristic
1608C22C2×D3×#4111yescharacteristic
1609C22C2×#100911yescharacteristic
1610C22#596411yescharacteristic
1611C22#596411yescharacteristic
1612C22#596611yescharacteristic
1613C22#596811yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—62no—
1628C4—62no—
1629C4—62no—
1630C4—62no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C4—121no—
1638C4—121no—
1639C3#3938911yescharacteristic, complemented, Sylow
1640C2—42no—
1641C2—81no—
1642C2—122no—
1643C2—122no—
1644C2—241no—
1645C2—241no—
1646C2#8603711yescharacteristic
1647C2#8616111yescharacteristic
1648C2#8652311yescharacteristic
1649C2#8663211yescharacteristic
1650C2#8670211yescharacteristic
1651C2#8697411yescharacteristic
1652C2#8700211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2474C2
hypercenter#2474D3
hypocenterC3#39389
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2474

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×#5534C2semidirect
3. C3×#2474C2semidirect
4. #82999C2semidirect
5. #82271C2semidirect
6. #77691C2semidirect
7. #77501C2semidirect
8. #77435C2semidirect
9. #77316C2semidirect
10. #77222C2semidirect
11. #77184C2semidirect
12. #77129C2semidirect
13. #76902C2semidirect
14. #76652C2semidirect
15. #76633C2semidirect
16. #75957C2semidirect
17. #75902C2semidirect
18. #75856C2semidirect
19. #75844C2semidirect
20. #75666C2semidirect
21. #75597C2semidirect
22. #75482C2semidirect
23. #75453C2semidirect
24. #75379C2semidirect
25. #75359C2semidirect
26. #74798C2semidirect
27. #74728C2semidirect
28. #74605C2semidirect
29. #74521C2semidirect
30. C4×#895C2semidirect
31. #73679C2semidirect
44. C2×#898C22semidirect
45. C2×#898C22semidirect
46. C2×#896C22semidirect
47. C2×#896C22semidirect
64. C2×#878C22semidirect
66. C2×#875C22semidirect
69. C2×C4×D12C22semidirect
70. C2×C42×D3C22semidirect
71. C2×#869C22semidirect
72. C2×C4×Dic6C22semidirect
74. C3×#396C22semidirect
75. C3×#395C22semidirect
77. C3×#391C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#388C22semidirect
82. C3×#387C22semidirect
85. C3×C4×C4⋊C4C22semidirect
86. #5231C22semidirect
87. #5229C22semidirect
92. #4993C22semidirect
102. #4989C22semidirect
106. #4987C22semidirect
107. #4984C22semidirect
108. #4983C22semidirect
109. #4982C22semidirect
110. #4979C22semidirect
111. #4976C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. Dic3×C4⋊C4C22semidirect
118. #4960C22semidirect
120. #4959C22semidirect
122. #4958C22semidirect
125. #4957C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
133. #4953C22semidirect
135. #4950C22semidirect
136. #4945C22semidirect
141. Dic3×C22⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. #4933C22semidirect
149. #4933C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4674C22semidirect
165. #4670C22semidirect
168. #4669C22semidirect
169. #4669C22semidirect
171. #4666C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. #4660C22semidirect
180. #4660C22semidirect
181. #4656C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4652C22semidirect
185. #4650C22semidirect
186. #4649C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
210. #2474D3semidirect
362. #883D4semidirect
469. #396C2×D3semidirect
472. #395C2×D3semidirect
498. #391C2×D3semidirect
523. #388C2×D3semidirect
524. #388C2×D3semidirect
525. #388C2×D3semidirect
531. #387C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
1639. C3#39389semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C2×#55342
C3×#24742
#829992
#822712
#776912
#775012
#774352
#773162
#772222
#771842
#771292
#769022
#766522
#766332
#759572
#759022
#758562
#758442
#756662
#755972
#754822
#754532
#753792
#753592
#747982
#747282
#746052
#745212
C4×#8952
#736792
#393893