Finite Group Databasebeta

← #11043354

Subgroups — #11043354

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×#2364C211yesmaximal, characteristic, complemented
2#82723C211yesmaximal, characteristic, complemented
3#82708C211yesmaximal, characteristic, complemented
4#82414C211yesmaximal, characteristic, complemented
5#82404C211yesmaximal, characteristic, complemented
6#82403C211yesmaximal, characteristic, complemented
7#82354C211yesmaximal, characteristic, complemented
8#75904C211yesmaximal, characteristic, complemented
9#75903C211yesmaximal, characteristic, complemented
10#75862C211yesmaximal, characteristic, complemented
11#75861C211yesmaximal, characteristic, complemented
12#75422C211yesmaximal, characteristic, complemented
13#75412C211yesmaximal, characteristic, complemented
14#75409C211yesmaximal, characteristic, complemented
15#75180C211yesmaximal, characteristic, complemented
16#74923C211yesmaximal, characteristic, complemented
17#74913C211yesmaximal, characteristic, complemented
18#74890C211yesmaximal, characteristic, complemented
19#74889C211yesmaximal, characteristic, complemented
20#74887C211yesmaximal, characteristic, complemented
21#74815C211yesmaximal, characteristic, complemented
22#74810C211yesmaximal, characteristic, complemented
23#74741C211yesmaximal, characteristic, complemented
24#73595C211yesmaximal, characteristic, complemented
25#73575C211yesmaximal, characteristic, complemented
26#73570C211yesmaximal, characteristic, complemented
27#73561C211yesmaximal, characteristic, complemented
28#73500C211yesmaximal, characteristic, complemented
29#73449C211yesmaximal, characteristic, complemented
30C2×#4665C211yesmaximal, characteristic, complemented
31#73359C211yesmaximal, characteristic, complemented
32#38388—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C2×#938C2211yescharacteristic, complemented
39C2×#938C2211yescharacteristic, complemented
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#935C2211yescharacteristic
45C2×#935C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#929C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52C2×#884C2211yescharacteristic
53C2×#884C2211yescharacteristic
54C2×#883C2211yescharacteristic, complemented
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×#877C2211yescharacteristic
57C2×#872C2211yescharacteristic, complemented
58C2×#872C2211yescharacteristic, complemented
59C3×#388C2211yescharacteristic, complemented
60C3×#388C2211yescharacteristic, complemented
61C3×#387C2211yescharacteristic, complemented
62C3×#387C2211yescharacteristic, complemented
63C3×#386C2211yescharacteristic
64C3×#386C2211yescharacteristic
65C3×#386C2211yescharacteristic, complemented
66C3×#386C2211yescharacteristic, complemented
67C3×C4×C22⋊C4C2211yescharacteristic
68C3×C4×C22⋊C4C2211yescharacteristic, complemented
69C3×C4×C22⋊C4C2211yescharacteristic, complemented
70C2×C3×#95C2211yescharacteristic
71#5223C2211yescharacteristic, complemented
72#5223C2211yescharacteristic, complemented
73#5220C2211yescharacteristic
74#5220C2211yescharacteristic
75#5213C2211yescharacteristic, complemented
76#5213C2211yescharacteristic, complemented
77#5213C2211yescharacteristic, complemented
78#5212C2211yescharacteristic
79#5212C2211yescharacteristic
80#5212C2211yescharacteristic
81#5211C2211yescharacteristic, complemented
82#5210C2211yescharacteristic
83#5210C2211yescharacteristic
84#5210C2211yescharacteristic, complemented
85C4×#217C2211yescharacteristic
86C2×C3⋊#95C2211yescharacteristic
87#4994C2211yescharacteristic, complemented
88#4994C2211yescharacteristic, complemented
89#4993C2211yescharacteristic, complemented
90#4993C2211yescharacteristic, complemented
91#4993C2211yescharacteristic, complemented
92#4992C2211yescharacteristic, complemented
93#4991C2211yescharacteristic
94#4991C2211yescharacteristic
95#4987C2211yescharacteristic, complemented
96#4987C2211yescharacteristic, complemented
97#4985C2211yescharacteristic, complemented
98#4983C2211yescharacteristic, complemented
99#4961C2211yescharacteristic, complemented
100#4961C2211yescharacteristic, complemented
101#4961C2211yescharacteristic, complemented
102#4960C2211yescharacteristic
103#4960C2211yescharacteristic
104#4960C2211yescharacteristic
105#4960C2211yescharacteristic
106#4959C2211yescharacteristic, complemented
107#4959C2211yescharacteristic, complemented
108#4959C2211yescharacteristic, complemented
109#4959C2211yescharacteristic, complemented
110#4959C2211yescharacteristic, complemented
111#4957C2211yescharacteristic, complemented
112#4957C2211yescharacteristic, complemented
113#4957C2211yescharacteristic, complemented
114#4957C2211yescharacteristic, complemented
115#4957C2211yescharacteristic, complemented
116#4957C2211yescharacteristic, complemented
117#4956C2211yescharacteristic, complemented
118#4956C2211yescharacteristic, complemented
119#4956C2211yescharacteristic, complemented
120#4956C2211yescharacteristic, complemented
121#4956C2211yescharacteristic, complemented
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4952C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4951C2211yescharacteristic, complemented
129#4949C2211yescharacteristic, complemented
130#4945C2211yescharacteristic, complemented
131#4943C2211yescharacteristic
132#4942C2211yescharacteristic
133#4942C2211yescharacteristic
134#4940C2211yescharacteristic, complemented
135#4940C2211yescharacteristic, complemented
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4939C2211yescharacteristic
141#4939C2211yescharacteristic
142C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146#4933C2211yescharacteristic, complemented
147#4933C2211yescharacteristic, complemented
148#4676C2211yescharacteristic, complemented
149#4676C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4674C2211yescharacteristic, complemented
152#4672C2211yescharacteristic
153#4672C2211yescharacteristic
154#4670C2211yescharacteristic, complemented
155#4670C2211yescharacteristic, complemented
156#4669C2211yescharacteristic, complemented
157#4669C2211yescharacteristic, complemented
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4668C2211yescharacteristic, complemented
161#4667C2211yescharacteristic, complemented
162#4667C2211yescharacteristic, complemented
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4664C2211yescharacteristic, complemented
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4661C2211yescharacteristic, complemented
177#4661C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#2847—31no—
189#2748—31no—
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#2364D311yescharacteristic, complemented
214#2342—31no—
215#2333—31no—
216#2333—31no—
217C2×#386—31no—
218#2280—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C22×D12—24no—
240C22×D12—42no—
241C22×D12—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3—24no—
247C22×C4×D3—42no—
248C22×C4×D3—42no—
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C3×#121—24no—
256C3×C4×D4—42no—
257C3×C4×D4—42no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#938—42no—
288#938—42no—
289#937—42no—
290#937—42no—
291#937—42no—
292#937—42no—
293#935—42no—
294#935—42no—
295#930—24no—
296#930—42no—
297#929—42no—
298C2×(C2×D3)⋊C4—24no—
299C2×(C2×D3)⋊C4—42no—
300C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#884—24no—
360#884—42no—
361#883—42no—
362D3×C22⋊C4—42no—
363#877—42no—
364#872—42no—
365#872—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×#121C2×D311yescharacteristic
417C2×#120—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×D4C2×D311yescharacteristic
422C2×C4×D4C2×D311yescharacteristic
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#399—31no—
437#399—31no—
438#398—31no—
439#398—31no—
440#398—31no—
441#398—31no—
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#396—31no—
451#396—31no—
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#390—31no—
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#388C2×D311yescharacteristic, complemented
491#388C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
523#386C2×D311yescharacteristic
524#386C2×D311yescharacteristic, complemented
525#386C2×D311yescharacteristic, complemented
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
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#380—31no—
545#380—31no—
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⋊C4C2×D311yescharacteristic
555C4×C22⋊C4C2×D311yescharacteristic, complemented
556C4×C22⋊C4C2×D311yescharacteristic, complemented
557C2×#95—31no—
558C2×#95C2×D311yescharacteristic
559C24×C3C2411yescharacteristic
560C24×C3C2411yescharacteristic
561C24×C3C2411yescharacteristic
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—22no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3C2411yescharacteristic
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4#4114yes—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—41no—
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—416no—
670C2×D12#4114yes—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—416no—
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—41no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
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⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C42—41no—
704C3×C42—41no—
705C3×C42—41no—
706C3×C42—41no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
718#217—41no—
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—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—
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—
753C4⋊Dic3—22no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—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—64no—
792C22×D4—122no—
793C22×D4—122no—
794C22×D4C22×D311yescharacteristic
795C22×D4C22×D311yescharacteristic
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—64no—
806C23×C4—122no—
807C23×C4—122no—
808C23×C4C22×D311yescharacteristic
809C23×C4C22×D311yescharacteristic
810C23×C4C22×D311yescharacteristic
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813#123—122no—
814#123—122no—
815#123—122no—
816#123—122no—
817#121—24no—
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—42no—
829C4×D4—42no—
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⋊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⋊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×C42C22×D311yescharacteristic
921C2×C42C22×D311yescharacteristic
922C2×C42C22×D311yescharacteristic
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×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3C2×#4112yes—
981C23×C3H(5,𝔽2)12yes—
982C23×C3H(5,𝔽2)12yes—
983C23×C3C2511yescharacteristic
984C22×D3—28no—
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—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—44no—
1020C22×D3—82no—
1021C22×D3—82no—
1022C22×D3—82no—
1023C22×D3C2×#4112yes—
1024C22×D3C2×#4112yes—
1025C22×D3H(5,𝔽2)12yes—
1026C3×D4—44no—
1027C3×D4—44no—
1028C3×D4—82no—
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—44no—
1063C2×C3×C4—44no—
1064C2×C3×C4—82no—
1065C2×C3×C4—82no—
1066C2×C3×C4—82no—
1067C2×C3×C4C2×#4112yes—
1068C2×C3×C4C2×#4112yes—
1069C2×C3×C4C2×#4112yes—
1070#67—82no—
1071#67—82no—
1072#67—82no—
1073#67—82no—
1074#67—82no—
1075#67—82no—
1076#67—82no—
1077#67—82no—
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—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—44no—
1114C2×Dic3—44no—
1115C2×Dic3H(5,𝔽2)12yes—
1116D12—44no—
1117D12—44no—
1118D12—44no—
1119D12—44no—
1120C4×D3—28no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—82no—
1125C4×D3—82no—
1126C24—31no—
1127C24—31no—
1128C24—31no—
1129C24—31no—
1130C24—62no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—62no—
1139C24—121no—
1140C24—121no—
1141C24—121no—
1142C24—121no—
1143C24—121no—
1144C24C23×D311yescharacteristic
1145C24C23×D311yescharacteristic
1146C24C23×D311yescharacteristic
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—34no—
1155C2×D4—41no—
1156C2×D4—41no—
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—62no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—1216no—
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—121no—
1192C2×D4—121no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
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—31no—
1208C22×C4—31no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
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—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—1216no—
1243C22×C4—121no—
1244C22×C4#23514yes—
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—41no—
1259C4⋊C4—41no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
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—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
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—41no—
1338C42—41no—
1339C42—41no—
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×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3#54014yes—
1365C22×C3C22×#4111yescharacteristic
1366C22×C3C22×#4111yescharacteristic
1367C22×C3C2×H(5,𝔽2)11yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3C2×H(5,𝔽2)11yescharacteristic
1370C22×C3C2×H(5,𝔽2)11yescharacteristic
1371C22×C3#58511yescharacteristic
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—416no—
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—41no—
1401C2×D3—88no—
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—
1414Dic3—22no—
1415Dic3—41no—
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—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—32no—
1445C23—32no—
1446C23—32no—
1447C23—68no—
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—124no—
1474C23—124no—
1475C23—124no—
1476C23—124no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—242no—
1484C23—242no—
1485C23—242no—
1486C23C2×#23512yes—
1487C23#100412yes—
1488C23#100912yes—
1489C23C24×D311yescharacteristic
1490D4—44no—
1491D4—44no—
1492D4—82no—
1493D4—124no—
1494D4—124no—
1495D4—124no—
1496D4—124no—
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—32no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—68no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—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—61no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—124no—
1584C2×C4—124no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4C2×#23512yes—
1588C2×C4C2×#23512yes—
1589C2×C4D3×#4112yes—
1590C2×C3—24no—
1591C2×C3—81no—
1592C2×C3—81no—
1593C2×C3C2×#54011yescharacteristic
1594C2×C3#347511yescharacteristic
1595C2×C3#349011yescharacteristic
1596C2×C3#349011yescharacteristic
1597C2×C3#351911yescharacteristic
1598C2×C3#353411yescharacteristic
1599C2×C3#354211yescharacteristic
1600D3—42no—
1601D3—42no—
1602D3—42no—
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—62no—
1628C22—62no—
1629C22—62no—
1630C22—62no—
1631C22—62no—
1632C22—62no—
1633C22—1216no—
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—248no—
1654C22#556214yes—
1655C22C22×#23511yescharacteristic
1656C22C2×#100411yescharacteristic
1657C22C2×D3×#4111yescharacteristic
1658C22C2×#100911yescharacteristic
1659C22#596411yescharacteristic
1660C22D3×H(5,𝔽2)11yescharacteristic
1661C22D3×H(5,𝔽2)11yescharacteristic
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—62no—
1675C4—121no—
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—24no—
1688C2—81no—
1689C2—81no—
1690C2—122no—
1691C2—122no—
1692C2—122no—
1693C2—241no—
1694C2C2×#556211yescharacteristic
1695C2#8584011yescharacteristic
1696C2#8586811yescharacteristic
1697C2#8665011yescharacteristic
1698C2#8666411yescharacteristic
1699C2#8688811yescharacteristic
1700C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2364C2
hypercenter#2364D3
hypocenterC3#38388
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
1. C3×#2364C2semidirect
2. #82723C2semidirect
3. #82708C2semidirect
4. #82414C2semidirect
5. #82404C2semidirect
6. #82403C2semidirect
7. #82354C2semidirect
8. #75904C2semidirect
9. #75903C2semidirect
10. #75862C2semidirect
11. #75861C2semidirect
12. #75422C2semidirect
13. #75412C2semidirect
14. #75409C2semidirect
15. #75180C2semidirect
16. #74923C2semidirect
17. #74913C2semidirect
18. #74890C2semidirect
19. #74889C2semidirect
20. #74887C2semidirect
21. #74815C2semidirect
22. #74810C2semidirect
23. #74741C2semidirect
24. #73595C2semidirect
25. #73575C2semidirect
26. #73570C2semidirect
27. #73561C2semidirect
28. #73500C2semidirect
29. #73449C2semidirect
30. C2×#4665C2semidirect
31. #73359C2semidirect
38. C2×#938C22semidirect
39. C2×#938C22semidirect
48. C2×#929C22semidirect
54. C2×#883C22semidirect
57. C2×#872C22semidirect
58. C2×#872C22semidirect
59. C3×#388C22semidirect
60. C3×#388C22semidirect
61. C3×#387C22semidirect
62. C3×#387C22semidirect
65. C3×#386C22semidirect
66. C3×#386C22semidirect
68. C3×C4×C22⋊C4C22semidirect
69. C3×C4×C22⋊C4C22semidirect
71. #5223C22semidirect
72. #5223C22semidirect
75. #5213C22semidirect
76. #5213C22semidirect
77. #5213C22semidirect
81. #5211C22semidirect
84. #5210C22semidirect
87. #4994C22semidirect
88. #4994C22semidirect
89. #4993C22semidirect
90. #4993C22semidirect
91. #4993C22semidirect
92. #4992C22semidirect
95. #4987C22semidirect
96. #4987C22semidirect
97. #4985C22semidirect
98. #4983C22semidirect
99. #4961C22semidirect
100. #4961C22semidirect
101. #4961C22semidirect
106. #4959C22semidirect
107. #4959C22semidirect
108. #4959C22semidirect
109. #4959C22semidirect
110. #4959C22semidirect
111. #4957C22semidirect
112. #4957C22semidirect
113. #4957C22semidirect
114. #4957C22semidirect
115. #4957C22semidirect
116. #4957C22semidirect
117. #4956C22semidirect
118. #4956C22semidirect
119. #4956C22semidirect
120. #4956C22semidirect
121. #4956C22semidirect
125. #4952C22semidirect
126. #4952C22semidirect
127. #4952C22semidirect
128. #4951C22semidirect
129. #4949C22semidirect
130. #4945C22semidirect
134. #4940C22semidirect
135. #4940C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
142. C4×(C2×D3)⋊C4C22semidirect
143. C4×(C2×D3)⋊C4C22semidirect
144. C4×(C2×D3)⋊C4C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. #4933C22semidirect
147. #4933C22semidirect
148. #4676C22semidirect
149. #4676C22semidirect
150. #4675C22semidirect
151. #4674C22semidirect
154. #4670C22semidirect
155. #4670C22semidirect
156. #4669C22semidirect
157. #4669C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
160. #4668C22semidirect
161. #4667C22semidirect
162. #4667C22semidirect
173. #4664C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4661C22semidirect
177. #4661C22semidirect
178. #4660C22semidirect
179. #4660C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4655C22semidirect
183. #4655C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4652C22semidirect
213. #2364D3semidirect
490. #388C2×D3semidirect
491. #388C2×D3semidirect
500. #387C2×D3semidirect
501. #387C2×D3semidirect
524. #386C2×D3semidirect
525. #386C2×D3semidirect
555. C4×C22⋊C4C2×D3semidirect
556. C4×C22⋊C4C2×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×#23642
#827232
#827082
#824142
#824042
#824032
#823542
#759042
#759032
#758622
#758612
#754222
#754122
#754092
#751802
#749232
#749132
#748902
#748892
#748872
#748152
#748102
#747412
#735952
#735752
#735702
#735612
#735002
#734492
C2×#46652
#733592
#383883