Finite Group Databasebeta

← #11043349

Subgroups — #11043349

Order 768.

2322 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2748C211yesmaximal, characteristic, complemented
2#78122C211yesmaximal, characteristic, complemented
3#78107C211yesmaximal, characteristic, complemented
4#78101C211yesmaximal, characteristic, complemented
5#78026C211yesmaximal, characteristic, complemented
6#77978C211yesmaximal, characteristic, complemented
7#77959C211yesmaximal, characteristic, complemented
8#77955C211yesmaximal, characteristic, complemented
9#77760C211yesmaximal, characteristic, complemented
10#77421C211yesmaximal, characteristic, complemented
11#77414C211yesmaximal, characteristic, complemented
12#77338C211yesmaximal, characteristic, complemented
13#77338C211yesmaximal, characteristic, complemented
14#76436C211yesmaximal, characteristic, complemented
15#76299C211yesmaximal, characteristic, complemented
16#75409C211yesmaximal, characteristic, complemented
17#75332C211yesmaximal, characteristic, complemented
18#75316C211yesmaximal, characteristic, complemented
19#75309C211yesmaximal, characteristic, complemented
20#74888C211yesmaximal, characteristic, complemented
21D3×#386C211yesmaximal, characteristic, complemented
22#74790C211yesmaximal, characteristic, complemented
23#74669C211yesmaximal, characteristic, complemented
24#74634C211yesmaximal, characteristic, complemented
25#74595C211yesmaximal, characteristic, complemented
26#74447C211yesmaximal, characteristic, complemented
27#74406C211yesmaximal, characteristic, complemented
28#74048C211yesmaximal, characteristic, complemented
29#73978C211yesmaximal, characteristic, complemented
30#73966C211yesmaximal, characteristic, complemented
31#73862C211yesmaximal, characteristic, complemented
32#38388—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×#939C2211yescharacteristic
36C2×#938C2211yescharacteristic
37C2×#930C2211yescharacteristic
38C2×#930C2211yescharacteristic, complemented
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C2×#895C2211yescharacteristic
41C2×#895C2211yescharacteristic
42C2×#895C2211yescharacteristic, complemented
43C2×#894C2211yescharacteristic
44C2×#894C2211yescharacteristic
45C2×#894C2211yescharacteristic, complemented
46C2×#893C2211yescharacteristic
47C2×#892C2211yescharacteristic
48C2×#892C2211yescharacteristic, complemented
49C2×#892C2211yescharacteristic, complemented
50C2×#886C2211yescharacteristic, complemented
51C2×#882C2211yescharacteristic
52C2×#882C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#882C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×D3×C22⋊C4C2211yescharacteristic
58C2×C4×D12C2211yescharacteristic
59C3×#399C2211yescharacteristic, complemented
60C3×#399C2211yescharacteristic, complemented
61C3×#398C2211yescharacteristic, complemented
62C3×#398C2211yescharacteristic, complemented
63C3×#396C2211yescharacteristic, complemented
64C3×#396C2211yescharacteristic, complemented
65C3×#390C2211yescharacteristic
66C3×#387C2211yescharacteristic, complemented
67C3×#387C2211yescharacteristic, complemented
68C3×#386C2211yescharacteristic
69C3×#386C2211yescharacteristic
70C3×#385C2211yescharacteristic, complemented
71C3×#385C2211yescharacteristic, complemented
72C3×#380C2211yescharacteristic, complemented
73C3×#380C2211yescharacteristic, complemented
74#5220C2211yescharacteristic
75#5213C2211yescharacteristic
76#5213C2211yescharacteristic, complemented
77#5212C2211yescharacteristic, complemented
78C4×#217C2211yescharacteristic, complemented
79#4994C2211yescharacteristic, complemented
80#4994C2211yescharacteristic, complemented
81#4993C2211yescharacteristic, complemented
82#4992C2211yescharacteristic, complemented
83#4992C2211yescharacteristic, complemented
84#4992C2211yescharacteristic, complemented
85#4991C2211yescharacteristic, complemented
86#4991C2211yescharacteristic, complemented
87#4991C2211yescharacteristic, complemented
88#4991C2211yescharacteristic, complemented
89#4991C2211yescharacteristic, complemented
90#4990C2211yescharacteristic, complemented
91#4990C2211yescharacteristic, complemented
92#4990C2211yescharacteristic, complemented
93#4990C2211yescharacteristic, complemented
94#4990C2211yescharacteristic, complemented
95#4990C2211yescharacteristic, complemented
96#4989C2211yescharacteristic
97#4988C2211yescharacteristic, complemented
98#4988C2211yescharacteristic, complemented
99#4988C2211yescharacteristic, complemented
100#4987C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic
104#4987C2211yescharacteristic
105#4987C2211yescharacteristic, complemented
106#4986C2211yescharacteristic, complemented
107#4986C2211yescharacteristic, complemented
108#4986C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4978C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4960C2211yescharacteristic
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic, complemented
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic, complemented
126#4958C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4950C2211yescharacteristic, complemented
138#4945C2211yescharacteristic, complemented
139#4944C2211yescharacteristic, complemented
140#4944C2211yescharacteristic, complemented
141#4943C2211yescharacteristic, complemented
142Dic3×C22⋊C4C2211yescharacteristic, complemented
143Dic3×C22⋊C4C2211yescharacteristic, complemented
144Dic3×C22⋊C4C2211yescharacteristic, complemented
145#4939C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147#4933C2211yescharacteristic, complemented
148#4677C2211yescharacteristic, complemented
149#4674C2211yescharacteristic, complemented
150#4674C2211yescharacteristic, complemented
151#4674C2211yescharacteristic, complemented
152#4672C2211yescharacteristic
153#4671C2211yescharacteristic
154#4671C2211yescharacteristic, complemented
155#4670C2211yescharacteristic, complemented
156#4670C2211yescharacteristic, complemented
157#4670C2211yescharacteristic, complemented
158#4670C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic, complemented
162#4666C2211yescharacteristic
163#4666C2211yescharacteristic
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4661C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#2847—31no—
189#2748D311yescharacteristic, complemented
190#2743—31no—
191#2741—31no—
192#2740—31no—
193#2703—31no—
194#2699—31no—
195#2688—31no—
196#2671—31no—
197#2648—31no—
198#2648—31no—
199#2569—31no—
200#2539—31no—
201#2534—31no—
202#2498—31no—
203#2476—31no—
204#2476—31no—
205#2471—31no—
206#2471—31no—
207#2419—31no—
208#2418—31no—
209#2412—31no—
210#2411—31no—
211#2410—31no—
212#2408—31no—
213#2364—31no—
214#2342—31no—
215#2333—31no—
216#2333—31no—
217C2×#386—31no—
218#2280—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×D3×D4—24no—
233C2×D3×D4—42no—
234C2×D3×D4—42no—
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3—24no—
244C22×C4×D3—42no—
245C22×C4×D3—42no—
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283#939—24no—
284#938—24no—
285#930—42no—
286#930—42no—
287C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
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
347#895—24no—
348#895—42no—
349#895—42no—
350#894—42no—
351#894—42no—
352#894—42no—
353#893—42no—
354#892—42no—
355#892—42no—
356#892—42no—
357#886—42no—
358#882—42no—
359#882—42no—
360#882—42no—
361#882—42no—
362D3×C22⋊C4—24no—
363D3×C22⋊C4—42no—
364D3×C22⋊C4—42no—
365C4×D12—42no—
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
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
404C23×D4—31no—
405C24×C4—31no—
406C2×#123—31no—
407C2×#123—31no—
408C2×#123—31no—
409C2×#123—31no—
410C2×#121—31no—
411C2×#121—31no—
412C2×#121—31no—
413C2×#121—31no—
414C2×#121—31no—
415C2×#121—31no—
416C2×#121—31no—
417C2×#120—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×D4—31no—
422C2×C4×D4—31no—
423C2×#117—31no—
424C2×#117—31no—
425C2×#117—31no—
426C22×C22⋊C4—31no—
427C22×C22⋊C4—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430#400—31no—
431#400—31no—
432#400—31no—
433#400—31no—
434#399—31no—
435#399—31no—
436#399C2×D311yescharacteristic, complemented
437#399C2×D311yescharacteristic, complemented
438#398—31no—
439#398—31no—
440#398C2×D311yescharacteristic, complemented
441#398C2×D311yescharacteristic, complemented
442#397—31no—
443#397—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#396—31no—
449#396—31no—
450#396C2×D311yescharacteristic, complemented
451#396C2×D311yescharacteristic, complemented
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#392—31no—
465#392—31no—
466#392—31no—
467#392—31no—
468#392—31no—
469#392—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#390C2×D311yescharacteristic
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#387C2×D311yescharacteristic, complemented
501#387C2×D311yescharacteristic, complemented
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386C2×D311yescharacteristic
525#386C2×D311yescharacteristic
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385C2×D311yescharacteristic, complemented
531#385C2×D311yescharacteristic, complemented
532#381—31no—
533#381—31no—
534#381—31no—
535#381—31no—
536#381—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380C2×D311yescharacteristic, complemented
545#380C2×D311yescharacteristic, complemented
546#379—31no—
547#379—31no—
548#379—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C2×#95—31no—
558C2×#95—31no—
559C24×C3C2411yescharacteristic
560C24×C3C2411yescharacteristic
561C23×D3—22no—
562C23×D3—22no—
563C23×D3—22no—
564C23×D3—22no—
565C23×D3—22no—
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—22no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3C2411yescharacteristic
576C23×D3C2411yescharacteristic
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C2×C3×D4—41no—
581C2×C3×D4—41no—
582C2×C3×D4#4114yes—
583C22×C3×C4—22no—
584C22×C3×C4—22no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
588C22×C3×C4—41no—
589C22×C3×C4C2411yescharacteristic
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
602C2×#67—22no—
603C2×#67—22no—
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—
613C2×#67—41no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—41no—
623C22×Dic3—41no—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637D3×D4—416no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—22no—
641C2×D12—22no—
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×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
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—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—416no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3#4114yes—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4—41no—
695C3×C4⋊C4—41no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C42—41no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—41no—
717#217—41no—
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—22no—
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)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766Dic3⋊C4—22no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770C4×Dic3—41no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C25—31no—
779C22×D4—31no—
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—
792C22×D4—31no—
793C22×D4—64no—
794C22×D4—122no—
795C22×D4—122no—
796C22×D4C22×D311yescharacteristic
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
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—64no—
809C23×C4—122no—
810C23×C4—122no—
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813#123—122no—
814#123—122no—
815#123—122no—
816#123—122no—
817#121—64no—
818#121—64no—
819#121—64no—
820#121—122no—
821#121—122no—
822#121—122no—
823#121—122no—
824#120—122no—
825#120—122no—
826#120—122no—
827#120—122no—
828C4×D4—122no—
829C4×D4—122no—
830#117—122no—
831#117—122no—
832#117—122no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
846C2×C4⋊C4C22×D311yescharacteristic
847C2×C4⋊C4C22×D311yescharacteristic
848C2×C4⋊C4C22×D311yescharacteristic
849C2×C4⋊C4C22×D311yescharacteristic
850C2×C4⋊C4C22×D311yescharacteristic
851C2×C4⋊C4C22×D311yescharacteristic
852C2×C4⋊C4C22×D311yescharacteristic
853C2×C4⋊C4C22×D311yescharacteristic
854C2×C4⋊C4C22×D311yescharacteristic
855C2×C4⋊C4C22×D311yescharacteristic
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
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—64no—
903C2×C22⋊C4—122no—
904C2×C22⋊C4—122no—
905C2×C22⋊C4—122no—
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42C22×D311yescharacteristic
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
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#95C22×D311yescharacteristic
953#95C22×D311yescharacteristic
954#95C22×D311yescharacteristic
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3C2×#4112yes—
975C23×C3C2×#4112yes—
976C23×C3C2511yescharacteristic
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—28no—
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—44no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—82no—
1020C22×D3—82no—
1021C22×D3—82no—
1022C22×D3C2×#4112yes—
1023C22×D3H(5,𝔽2)12yes—
1024C22×D3H(5,𝔽2)12yes—
1025C22×D3H(5,𝔽2)12yes—
1026C3×D4—44no—
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—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—44no—
1064C2×C3×C4—82no—
1065C2×C3×C4C2×#4112yes—
1066C2×C3×C4C2×#4112yes—
1067C2×C3×C4H(5,𝔽2)12yes—
1068#67—44no—
1069#67—44no—
1070#67—82no—
1071#67—82no—
1072#67—82no—
1073#67—82no—
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—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—44no—
1107C2×Dic3—82no—
1108C2×Dic3C2×#4112yes—
1109D12—44no—
1110D12—44no—
1111D12—44no—
1112D12—82no—
1113D12—82no—
1114D12—82no—
1115D12—82no—
1116D12—82no—
1117C4×D3—28no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—82no—
1124C4×D3—82no—
1125C4×D3—82no—
1126C24—31no—
1127C24—31no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—62no—
1139C24—62no—
1140C24—121no—
1141C24—121no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24C23×D311yescharacteristic
1146C24C23×D311yescharacteristic
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—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
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—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—1216no—
1192C2×D4#23914yes—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—31no—
1196C22×C4—34no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—1216no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
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—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
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—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C42—41no—
1337C42—121no—
1338C42—121no—
1339C42—121no—
1340C42—121no—
1341C42—121no—
1342C42—121no—
1343C42—121no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3C22×#4111yescharacteristic
1359C22×C3C22×#4111yescharacteristic
1360C22×C3C2×H(5,𝔽2)11yescharacteristic
1361C22×C3C2×H(5,𝔽2)11yescharacteristic
1362C22×C3C2×H(5,𝔽2)11yescharacteristic
1363C22×C3C2×H(5,𝔽2)11yescharacteristic
1364C22×C3#58511yescharacteristic
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—416no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
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—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—88no—
1401C2×D3#54014yes—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—22no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412C3×C4—41no—
1413C3×C4—41no—
1414C3×C4—41no—
1415Dic3—22no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3—41no—
1425Dic3—41no—
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—32no—
1439C23—32no—
1440C23—32no—
1441C23—32no—
1442C23—68no—
1443C23—61no—
1444C23—61no—
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—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—124no—
1475C23—124no—
1476C23—124no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—124no—
1484C23—242no—
1485C23—242no—
1486C23—242no—
1487C23C2×#23912yes—
1488C23C2×#23912yes—
1489C23C24×D311yescharacteristic
1490D4—44no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—124no—
1495D4—124no—
1496D4—242no—
1497D4—242no—
1498D4—242no—
1499D4—242no—
1500D4—242no—
1501D4—242no—
1502D4—242no—
1503D4—242no—
1504D4—242no—
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—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—32no—
1542C2×C4—44no—
1543C2×C4—68no—
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—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—82no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—242no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4C2×#23912yes—
1588C2×C4D3×#4112yes—
1589C2×C4#100912yes—
1590C2×C3—42no—
1591C2×C3—42no—
1592C2×C3C2×#54011yescharacteristic
1593C2×C3#347511yescharacteristic
1594C2×C3#349011yescharacteristic
1595C2×C3#349011yescharacteristic
1596C2×C3#351911yescharacteristic
1597C2×C3#353411yescharacteristic
1598C2×C3#354211yescharacteristic
1599D3—24no—
1600D3—42no—
1601D3—81no—
1602D3—81no—
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—34no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—62no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—62no—
1628C22—1216no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—248no—
1655C22C22×#23911yescharacteristic
1656C22C2×D3×#4111yescharacteristic
1657C22C2×#100911yescharacteristic
1658C22D3×H(5,𝔽2)11yescharacteristic
1659C22D3×H(5,𝔽2)11yescharacteristic
1660C22D3×H(5,𝔽2)11yescharacteristic
1661C22#596611yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—62no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C3#3838811yescharacteristic, complemented, Sylow
1687C2—42no—
1688C2—42no—
1689C2—64no—
1690C2—122no—
1691C2—241no—
1692C2—241no—
1693C2—241no—
1694C2D3×#54011yescharacteristic
1695C2#8649211yescharacteristic
1696C2#8657911yescharacteristic
1697C2#8681511yescharacteristic
1698C2#8692211yescharacteristic
1699C2#8693311yescharacteristic
1700C2#8708211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2748C2
hypercenter#2748D3
hypocenterC3#38388
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2748

Complements

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

NH ≅ G/Ntype
1. C3×#2748C2semidirect
2. #78122C2semidirect
3. #78107C2semidirect
4. #78101C2semidirect
5. #78026C2semidirect
6. #77978C2semidirect
7. #77959C2semidirect
8. #77955C2semidirect
9. #77760C2semidirect
10. #77421C2semidirect
11. #77414C2semidirect
12. #77338C2semidirect
13. #77338C2semidirect
14. #76436C2semidirect
15. #76299C2semidirect
16. #75409C2semidirect
17. #75332C2semidirect
18. #75316C2semidirect
19. #75309C2semidirect
20. #74888C2semidirect
21. D3×#386C2semidirect
22. #74790C2semidirect
23. #74669C2semidirect
24. #74634C2semidirect
25. #74595C2semidirect
26. #74447C2semidirect
27. #74406C2semidirect
28. #74048C2semidirect
29. #73978C2semidirect
30. #73966C2semidirect
31. #73862C2semidirect
38. C2×#930C22semidirect
42. C2×#895C22semidirect
45. C2×#894C22semidirect
48. C2×#892C22semidirect
49. C2×#892C22semidirect
50. C2×#886C22semidirect
59. C3×#399C22semidirect
60. C3×#399C22semidirect
61. C3×#398C22semidirect
62. C3×#398C22semidirect
63. C3×#396C22semidirect
64. C3×#396C22semidirect
66. C3×#387C22semidirect
67. C3×#387C22semidirect
70. C3×#385C22semidirect
71. C3×#385C22semidirect
72. C3×#380C22semidirect
73. C3×#380C22semidirect
76. #5213C22semidirect
77. #5212C22semidirect
78. C4×#217C22semidirect
79. #4994C22semidirect
80. #4994C22semidirect
81. #4993C22semidirect
82. #4992C22semidirect
83. #4992C22semidirect
84. #4992C22semidirect
85. #4991C22semidirect
86. #4991C22semidirect
87. #4991C22semidirect
88. #4991C22semidirect
89. #4991C22semidirect
90. #4990C22semidirect
91. #4990C22semidirect
92. #4990C22semidirect
93. #4990C22semidirect
94. #4990C22semidirect
95. #4990C22semidirect
97. #4988C22semidirect
98. #4988C22semidirect
99. #4988C22semidirect
105. #4987C22semidirect
106. #4986C22semidirect
107. #4986C22semidirect
108. #4986C22semidirect
109. #4980C22semidirect
110. #4980C22semidirect
111. #4980C22semidirect
112. #4978C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
122. #4960C22semidirect
125. #4958C22semidirect
126. #4958C22semidirect
127. #4957C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
137. #4950C22semidirect
138. #4945C22semidirect
139. #4944C22semidirect
140. #4944C22semidirect
141. #4943C22semidirect
142. Dic3×C22⋊C4C22semidirect
143. Dic3×C22⋊C4C22semidirect
144. Dic3×C22⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. #4933C22semidirect
148. #4677C22semidirect
149. #4674C22semidirect
150. #4674C22semidirect
151. #4674C22semidirect
154. #4671C22semidirect
155. #4670C22semidirect
156. #4670C22semidirect
157. #4670C22semidirect
158. #4670C22semidirect
159. #4669C22semidirect
161. #4668C22semidirect
164. #4666C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
182. #4661C22semidirect
183. #4661C22semidirect
184. #4660C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4653C22semidirect
189. #2748D3semidirect
436. #399C2×D3semidirect
437. #399C2×D3semidirect
440. #398C2×D3semidirect
441. #398C2×D3semidirect
450. #396C2×D3semidirect
451. #396C2×D3semidirect
500. #387C2×D3semidirect
501. #387C2×D3semidirect
530. #385C2×D3semidirect
531. #385C2×D3semidirect
544. #380C2×D3semidirect
545. #380C2×D3semidirect
1686. C3#38388semidirect

Maximal subgroups

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

subgroupindex
C3×#27482
#781222
#781072
#781012
#780262
#779782
#779592
#779552
#777602
#774212
#774142
#773382
#764362
#762992
#754092
#753322
#753162
#753092
#748882
D3×#3862
#747902
#746692
#746342
#745952
#744472
#744062
#740482
#739782
#739662
#738622
#383883