Finite Group Databasebeta

← #11226411

Subgroups — #11226411

Order 768.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2471C211yesmaximal, characteristic, complemented
2#82896C211yesmaximal, characteristic, complemented
3#82859C211yesmaximal, characteristic, complemented
4#82282C211yesmaximal, characteristic, complemented
5#82241C211yesmaximal, characteristic, complemented
6#78026C211yesmaximal, characteristic, complemented
7#78017C211yesmaximal, characteristic, complemented
8#77676C211yesmaximal, characteristic, complemented
9#77495C211yesmaximal, characteristic, complemented
10#77442C211yesmaximal, characteristic, complemented
11#77320C211yesmaximal, characteristic, complemented
12#76694C211yesmaximal, characteristic, complemented
13#76669C211yesmaximal, characteristic
14#76469C211yesmaximal, characteristic, complemented
15#76428C211yesmaximal, characteristic, complemented
16#76416C211yesmaximal, characteristic, complemented
17#76333C211yesmaximal, characteristic, complemented
18#75935C211yesmaximal, characteristic, complemented
19#75553C211yesmaximal, characteristic, complemented
20#75439C211yesmaximal, characteristic, complemented
21#75409C211yesmaximal, characteristic, complemented
22#74984C211yesmaximal, characteristic, complemented
23#74944C211yesmaximal, characteristic, complemented
24#74924C211yesmaximal, characteristic, complemented
25#74891C211yesmaximal, characteristic, complemented
26#74878C211yesmaximal, characteristic, complemented
27#74832C211yesmaximal, characteristic, complemented
28#74695C211yesmaximal, characteristic, complemented
29#74676C211yesmaximal, characteristic, complemented
30#73608C211yesmaximal, characteristic, complemented
31#73461C211yesmaximal, characteristic, complemented
32#45019—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic, complemented
35C2×C3×#117C2211yescharacteristic, complemented
36C2×#939C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#935C2211yescharacteristic, complemented
41C2×D4×Dic3C2211yescharacteristic, complemented
42C2×#929C2211yescharacteristic, complemented
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic, complemented
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×Dic3⋊C4C2211yescharacteristic, complemented
47C2×#892C2211yescharacteristic
48C2×#892C2211yescharacteristic, complemented
49C2×#889C2211yescharacteristic, complemented
50C2×#886C2211yescharacteristic, complemented
51C2×#67⋊C4C2211yescharacteristic
52C2×#67⋊C4C2211yescharacteristic
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×#872C2211yescharacteristic
55C3×#399C2211yescharacteristic, complemented
56C3×#397C2211yescharacteristic, complemented
57C3×#396C2211yescharacteristic, complemented
58C3×#392C2211yescharacteristic
59C3×#390C2211yescharacteristic
60C3×#390C2211yescharacteristic, complemented
61C3×#388C2211yescharacteristic, complemented
62C3×#387C2211yescharacteristic, complemented
63C3×#387C2211yescharacteristic, complemented
64C3×#386C2211yescharacteristic
65C3×#386C2211yescharacteristic, complemented
66C3×#386C2211yescharacteristic, complemented
67C3×C4×C22⋊C4C2211yescharacteristic, complemented
68#5222C2211yescharacteristic
69#5222C2211yescharacteristic, complemented
70#5222C2211yescharacteristic, complemented
71#5221C2211yescharacteristic
72#5220C2211yescharacteristic
73#5213C2211yescharacteristic
74#5212C2211yescharacteristic, complemented
75#5211C2211yescharacteristic, complemented
76#4994C2211yescharacteristic
77#4994C2211yescharacteristic, complemented
78#4994C2211yescharacteristic, complemented
79#4993C2211yescharacteristic
80#4993C2211yescharacteristic, complemented
81#4993C2211yescharacteristic, complemented
82#4992C2211yescharacteristic
83#4992C2211yescharacteristic
84#4992C2211yescharacteristic, complemented
85#4992C2211yescharacteristic, complemented
86#4990C2211yescharacteristic
87#4990C2211yescharacteristic, complemented
88#4989C2211yescharacteristic, complemented
89#4988C2211yescharacteristic
90#4987C2211yescharacteristic, complemented
91#4985C2211yescharacteristic, complemented
92#4980C2211yescharacteristic, complemented
93#4975C2211yescharacteristic, complemented
94#4975C2211yescharacteristic, complemented
95Dic3×C4⋊C4C2211yescharacteristic, complemented
96Dic3×C4⋊C4C2211yescharacteristic, complemented
97#4961C2211yescharacteristic
98#4961C2211yescharacteristic
99#4961C2211yescharacteristic, complemented
100#4961C2211yescharacteristic, complemented
101#4960C2211yescharacteristic
102#4958C2211yescharacteristic
103#4958C2211yescharacteristic, complemented
104#4957C2211yescharacteristic
105#4957C2211yescharacteristic
106#4957C2211yescharacteristic
107#4957C2211yescharacteristic
108#4957C2211yescharacteristic
109#4957C2211yescharacteristic
110#4957C2211yescharacteristic
111#4957C2211yescharacteristic
112#4957C2211yescharacteristic, complemented
113#4956C2211yescharacteristic, complemented
114#4955C2211yescharacteristic
115#4955C2211yescharacteristic
116#4955C2211yescharacteristic
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4953C2211yescharacteristic, complemented
123#4953C2211yescharacteristic, complemented
124#4953C2211yescharacteristic, complemented
125#4953C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4951C2211yescharacteristic, complemented
129#4951C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4950C2211yescharacteristic, complemented
132#4949C2211yescharacteristic, complemented
133#4949C2211yescharacteristic, complemented
134#4948C2211yescharacteristic, complemented
135#4946C2211yescharacteristic, complemented
136#4946C2211yescharacteristic, complemented
137#4945C2211yescharacteristic, complemented
138#4945C2211yescharacteristic, complemented
139#4944C2211yescharacteristic, complemented
140#4944C2211yescharacteristic, complemented
141#4942C2211yescharacteristic, complemented
142Dic3×C22⋊C4C2211yescharacteristic, complemented
143Dic3×C22⋊C4C2211yescharacteristic, complemented
144Dic3×C22⋊C4C2211yescharacteristic, complemented
145#4940C2211yescharacteristic
146#4940C2211yescharacteristic
147#4940C2211yescharacteristic, complemented
148#4940C2211yescharacteristic, complemented
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4939C2211yescharacteristic
152#4933C2211yescharacteristic, complemented
153C4×Dic3⋊C4C2211yescharacteristic, complemented
154C4×Dic3⋊C4C2211yescharacteristic, complemented
155#4928C2211yescharacteristic, complemented
156#4677C2211yescharacteristic
157#4676C2211yescharacteristic
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4672C2211yescharacteristic
163#4670C2211yescharacteristic
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4664C2211yescharacteristic, complemented
177#4661C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2796—31no—
189#2796—31no—
190#2740—31no—
191#2740—31no—
192#2735—31no—
193#2735—31no—
194#2697—31no—
195#2697—31no—
196#2602—31no—
197#2602—31no—
198#2566—31no—
199#2513—31no—
200#2513—31no—
201#2501—31no—
202#2490—31no—
203#2482—31no—
204#2482—31no—
205#2471—31no—
206#2471D311yescharacteristic, complemented
207#2441—31no—
208#2420—31no—
209#2418—31no—
210#2418—31no—
211#2408—31no—
212#2395—31no—
213#2361—31no—
214#2354—31no—
215#2352—31no—
216D4×C22⋊C4—31no—
217#2314—31no—
218#2309—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×D3×D4—24no—
235C2×D3×D4—24no—
236C2×D3×D4—42no—
237C22×D12C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C3×#123—42no—
242C3×#117—42no—
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊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×C42C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279#939—24no—
280#939—42no—
281#937—42no—
282#937—42no—
283#935—42no—
284D4×Dic3—42no—
285#929—42no—
286C4×#67—24no—
287C4×#67—42no—
288C2×(C2×D3)⋊C4—42no—
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
327C2×C4⋊Dic3C2311yescharacteristic
328C2×Dic3⋊C4—42no—
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#892—24no—
357#892—42no—
358#889—42no—
359#886—42no—
360#67⋊C4—24no—
361#67⋊C4—42no—
362D3×C22⋊C4—42no—
363#872—42no—
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
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
398C23×D4—31no—
399C2×#125—31no—
400C2×#123—31no—
401C2×#123—31no—
402C2×#123—31no—
403C2×#123C2×D311yescharacteristic, complemented
404C2×#121—31no—
405C2×#121—31no—
406C2×#120—31no—
407C2×#120—31no—
408C2×C4×D4—31no—
409C2×C4×D4—31no—
410C2×C4×D4—31no—
411C2×C4×D4—31no—
412C2×C4×D4—31no—
413C2×#117—31no—
414C2×#117—31no—
415C2×#117—31no—
416C2×#117C2×D311yescharacteristic, complemented
417C22×C4⋊C4—31no—
418C22×C22⋊C4—31no—
419C22×C22⋊C4—31no—
420#400—31no—
421#399—31no—
422#399—31no—
423#399—31no—
424#399—31no—
425#399—31no—
426#399—31no—
427#399C2×D311yescharacteristic, complemented
428#398—31no—
429#397—31no—
430#397—31no—
431#397—31no—
432#397—31no—
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397—31no—
440#397—31no—
441#397—31no—
442#397—31no—
443#397C2×D311yescharacteristic, complemented
444#396—31no—
445#396—31no—
446#396—31no—
447#396—31no—
448#396—31no—
449#396C2×D311yescharacteristic, complemented
450#394—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#392—31no—
459#392C2×D311yescharacteristic
460#390—31no—
461#390—31no—
462#390—31no—
463#390—31no—
464#390—31no—
465#390—31no—
466#390—31no—
467#390—31no—
468#390—31no—
469#390—31no—
470#390—31no—
471#390—31no—
472#390C2×D311yescharacteristic
473#390C2×D311yescharacteristic, complemented
474#389—31no—
475#389—31no—
476#389—31no—
477#389—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#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388C2×D311yescharacteristic, complemented
500#387—31no—
501#387—31no—
502#387—31no—
503#387—31no—
504#387—31no—
505#387—31no—
506#387C2×D311yescharacteristic, complemented
507#387C2×D311yescharacteristic, complemented
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386C2×D311yescharacteristic
516#386C2×D311yescharacteristic, complemented
517#386C2×D311yescharacteristic, complemented
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#384—31no—
525#384—31no—
526#382—31no—
527#382—31no—
528#381—31no—
529#381—31no—
530#380—31no—
531#380—31no—
532#380—31no—
533#380—31no—
534#380—31no—
535#379—31no—
536#379—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541#379—31no—
542#379—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C4⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4C2×D311yescharacteristic, complemented
553C24×C3C2411yescharacteristic
554C24×C3C2411yescharacteristic
555C24×C3C2411yescharacteristic
556C23×D3—22no—
557C23×D3—22no—
558C23×D3—22no—
559C23×D3—22no—
560C23×D3—41no—
561C23×D3—41no—
562C23×D3—41no—
563C23×D3—41no—
564C23×D3—41no—
565C23×D3—41no—
566C23×D3—41no—
567C23×D3—41no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3C2411yescharacteristic
571C23×D3C2411yescharacteristic
572C23×D3C2411yescharacteristic
573C2×C3×D4—22no—
574C2×C3×D4—22no—
575C2×C3×D4—22no—
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—41no—
579C2×C3×D4—41no—
580C2×C3×D4—41no—
581C2×C3×D4—41no—
582C22×C3×C4—22no—
583C22×C3×C4—22no—
584C22×C3×C4—22no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
588C22×C3×C4C2411yescharacteristic
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
600C2×#67—22no—
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67—41no—
613C2×#67—41no—
614C2×#67#4114yes—
615C22×Dic3—22no—
616C22×Dic3—22no—
617C22×Dic3—22no—
618C22×Dic3—22no—
619C22×Dic3—41no—
620C22×Dic3—41no—
621C22×Dic3—41no—
622C22×Dic3—41no—
623C22×Dic3—41no—
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
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—41no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—41no—
646C2×C4×D3—41no—
647C2×C4×D3—41no—
648C2×C4×D3—41no—
649C2×C4×D3#4114yes—
650C3×C4⋊C4—22no—
651C3×C4⋊C4—22no—
652C3×C4⋊C4—22no—
653C3×C4⋊C4—41no—
654C3×C4⋊C4—41no—
655C3×C4⋊C4—41no—
656C3×C22⋊C4—22no—
657C3×C22⋊C4—22no—
658C3×C22⋊C4—22no—
659C3×C22⋊C4—41no—
660C3×C22⋊C4—41no—
661C3×C22⋊C4—41no—
662C3×C22⋊C4—41no—
663C3×C22⋊C4—41no—
664C3×C22⋊C4—41no—
665C3×C22⋊C4—41no—
666C3×C22⋊C4—41no—
667C3×C22⋊C4—41no—
668C3×C22⋊C4—41no—
669C3×C42—41no—
670C3×C42—41no—
671C3×C42—41no—
672#217—22no—
673#217—22no—
674#217—22no—
675#217—22no—
676#217—41no—
677#217—41no—
678#217—41no—
679#217—41no—
680#217—41no—
681#217—41no—
682#217—41no—
683#217—41no—
684#217—41no—
685#217—41no—
686(C2×D3)⋊C4—22no—
687(C2×D3)⋊C4—22no—
688(C2×D3)⋊C4—22no—
689(C2×D3)⋊C4—22no—
690(C2×D3)⋊C4—22no—
691(C2×D3)⋊C4—22no—
692(C2×D3)⋊C4—22no—
693(C2×D3)⋊C4—41no—
694(C2×D3)⋊C4—41no—
695(C2×D3)⋊C4—41no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4—41no—
699(C2×D3)⋊C4—41no—
700(C2×D3)⋊C4—41no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704(C2×D3)⋊C4—41no—
705(C2×D3)⋊C4—41no—
706(C2×D3)⋊C4—41no—
707(C2×D3)⋊C4—41no—
708(C2×D3)⋊C4—41no—
709(C2×D3)⋊C4—41no—
710(C2×D3)⋊C4—41no—
711(C2×D3)⋊C4—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717C4⋊Dic3—22no—
718C4⋊Dic3—22no—
719C4⋊Dic3—41no—
720C4⋊Dic3—41no—
721C4⋊Dic3—41no—
722C4⋊Dic3—41no—
723C4⋊Dic3—41no—
724C4⋊Dic3—41no—
725Dic3⋊C4—22no—
726Dic3⋊C4—22no—
727Dic3⋊C4—22no—
728Dic3⋊C4—22no—
729Dic3⋊C4—22no—
730Dic3⋊C4—22no—
731Dic3⋊C4—22no—
732Dic3⋊C4—41no—
733Dic3⋊C4—41no—
734Dic3⋊C4—41no—
735Dic3⋊C4—41no—
736Dic3⋊C4—41no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742C4×Dic3—22no—
743C4×Dic3—22no—
744C4×Dic3—22no—
745C4×Dic3—22no—
746C4×Dic3—22no—
747C4×Dic3—41no—
748C4×Dic3—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C25—31no—
753C25—31no—
754C22×D4—31no—
755C22×D4—31no—
756C22×D4—31no—
757C22×D4—31no—
758C22×D4—31no—
759C22×D4—31no—
760C22×D4—64no—
761C22×D4—64no—
762C22×D4—122no—
763C22×D4C22×D311yescharacteristic
764C22×D4C22×D311yescharacteristic
765C22×D4C22×D311yescharacteristic
766C23×C4—31no—
767C23×C4—31no—
768C23×C4—31no—
769C23×C4—31no—
770C23×C4—31no—
771C23×C4—31no—
772C23×C4C22×D311yescharacteristic
773C23×C4C22×D311yescharacteristic
774#125—122no—
775#123—42no—
776#123—122no—
777#123—122no—
778#123—122no—
779#121—64no—
780#121—122no—
781#120—122no—
782#120—122no—
783C4×D4—64no—
784C4×D4—64no—
785C4×D4—122no—
786C4×D4—122no—
787C4×D4—122no—
788#117—42no—
789#117—64no—
790#117—122no—
791#117—122no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—122no—
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C4⋊C4C22×D311yescharacteristic
822C2×C4⋊C4C22×D311yescharacteristic
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
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—122no—
870C2×C22⋊C4—122no—
871C2×C22⋊C4C22×D311yescharacteristic
872C2×C22⋊C4C22×D311yescharacteristic
873C2×C22⋊C4C22×D311yescharacteristic
874C2×C22⋊C4C22×D311yescharacteristic
875C2×C22⋊C4C22×D311yescharacteristic
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C42—31no—
885C2×C42—31no—
886C2×C42—31no—
887C2×C42—31no—
888C2×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892C2×C42—31no—
893C2×C42—31no—
894C2×C42C22×D311yescharacteristic
895C2×C42C22×D311yescharacteristic
896C2×C42C22×D311yescharacteristic
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95C22×D311yescharacteristic
924#95C22×D311yescharacteristic
925#95C22×D311yescharacteristic
926#95C22×D311yescharacteristic
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930#95C22×D311yescharacteristic
931C23×C3—21no—
932C23×C3—21no—
933C23×C3—21no—
934C23×C3—21no—
935C23×C3—21no—
936C23×C3—21no—
937C23×C3—21no—
938C23×C3—21no—
939C23×C3—21no—
940C23×C3—21no—
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
950C23×C3C2×#4112yes—
951C23×C3H(5,𝔽2)12yes—
952C23×C3C2511yescharacteristic
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3—21no—
958C22×D3—21no—
959C22×D3—21no—
960C22×D3—21no—
961C22×D3—21no—
962C22×D3—21no—
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—21no—
966C22×D3—21no—
967C22×D3—21no—
968C22×D3—21no—
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—44no—
973C22×D3—44no—
974C22×D3—44no—
975C22×D3—44no—
976C22×D3—82no—
977C22×D3—82no—
978C22×D3—82no—
979C22×D3—82no—
980C22×D3—82no—
981C22×D3—82no—
982C22×D3—82no—
983C22×D3—82no—
984C22×D3—82no—
985C22×D3—82no—
986C22×D3C2×#4112yes—
987C22×D3C2×#4112yes—
988C3×D4—44no—
989C3×D4—44no—
990C3×D4—82no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—44no—
1026C2×C3×C4—82no—
1027C2×C3×C4C2×#4112yes—
1028C2×C3×C4H(5,𝔽2)12yes—
1029#67—28no—
1030#67—44no—
1031#67—44no—
1032#67—44no—
1033#67—82no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—44no—
1071C2×Dic3—82no—
1072C2×Dic3—82no—
1073C2×Dic3C2×#4112yes—
1074C2×Dic3C2×#4112yes—
1075C2×Dic3H(5,𝔽2)12yes—
1076D12—44no—
1077C4×D3—28no—
1078C4×D3—44no—
1079C4×D3—82no—
1080C24—31no—
1081C24—31no—
1082C24—31no—
1083C24—62no—
1084C24—62no—
1085C24—62no—
1086C24—62no—
1087C24—121no—
1088C24—121no—
1089C24—121no—
1090C24—121no—
1091C24—121no—
1092C24—121no—
1093C24—121no—
1094C24—121no—
1095C24—121no—
1096C24—121no—
1097C24C23×D311yescharacteristic
1098C24C23×D311yescharacteristic
1099C24C23×D311yescharacteristic
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—34no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—62no—
1111C2×D4—62no—
1112C2×D4—62no—
1113C2×D4—62no—
1114C2×D4—62no—
1115C2×D4—62no—
1116C2×D4—62no—
1117C2×D4—62no—
1118C2×D4—62no—
1119C2×D4—62no—
1120C2×D4—62no—
1121C2×D4—62no—
1122C2×D4—121no—
1123C2×D4—1216no—
1124C2×D4—121no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—31no—
1132C22×C4—34no—
1133C22×C4—31no—
1134C22×C4—31no—
1135C22×C4—31no—
1136C22×C4—31no—
1137C22×C4—31no—
1138C22×C4—31no—
1139C22×C4—31no—
1140C22×C4—31no—
1141C22×C4—31no—
1142C22×C4—31no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—62no—
1149C22×C4—62no—
1150C22×C4—62no—
1151C22×C4—62no—
1152C22×C4—62no—
1153C22×C4—62no—
1154C22×C4—62no—
1155C22×C4—62no—
1156C22×C4—121no—
1157C22×C4—121no—
1158C22×C4—121no—
1159C22×C4—121no—
1160C22×C4—121no—
1161C22×C4—121no—
1162C22×C4—121no—
1163C22×C4—121no—
1164C22×C4—121no—
1165C22×C4C23×D311yescharacteristic
1166C22×C4C23×D311yescharacteristic
1167C22×C4C23×D311yescharacteristic
1168C22×C4C23×D311yescharacteristic
1169C22×C4C23×D311yescharacteristic
1170C22×C4C23×D311yescharacteristic
1171C22×C4C23×D311yescharacteristic
1172C22×C4C23×D311yescharacteristic
1173C22×C4C23×D311yescharacteristic
1174C22×C4C23×D311yescharacteristic
1175C22×C4C23×D311yescharacteristic
1176C22×C4C23×D311yescharacteristic
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—62no—
1184C4⋊C4—62no—
1185C4⋊C4—62no—
1186C4⋊C4—62no—
1187C4⋊C4—62no—
1188C4⋊C4—62no—
1189C4⋊C4—62no—
1190C4⋊C4—62no—
1191C4⋊C4—62no—
1192C4⋊C4—121no—
1193C4⋊C4—121no—
1194C4⋊C4—121no—
1195C4⋊C4—121no—
1196C4⋊C4—121no—
1197C4⋊C4—121no—
1198C4⋊C4—121no—
1199C4⋊C4—121no—
1200C4⋊C4—121no—
1201C4⋊C4—121no—
1202C4⋊C4—121no—
1203C4⋊C4—121no—
1204C4⋊C4—121no—
1205C4⋊C4—121no—
1206C4⋊C4—121no—
1207C4⋊C4—121no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
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—41no—
1220C22⋊C4—41no—
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—121no—
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—121no—
1243C22⋊C4—121no—
1244C22⋊C4—121no—
1245C22⋊C4—121no—
1246C22⋊C4—121no—
1247C22⋊C4—121no—
1248C22⋊C4—121no—
1249C22⋊C4—121no—
1250C22⋊C4—121no—
1251C22⋊C4—121no—
1252C22⋊C4—121no—
1253C22⋊C4—121no—
1254C22⋊C4—121no—
1255C22⋊C4—121no—
1256C22⋊C4—121no—
1257C22⋊C4—121no—
1258C22⋊C4—121no—
1259C22⋊C4—121no—
1260C22⋊C4—121no—
1261C22⋊C4—121no—
1262C22⋊C4—121no—
1263C22⋊C4—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—62no—
1270C42—62no—
1271C42—62no—
1272C42—62no—
1273C42—62no—
1274C42—121no—
1275C42—121no—
1276C42—121no—
1277C42—121no—
1278C42—121no—
1279C22×C3—22no—
1280C22×C3—22no—
1281C22×C3—22no—
1282C22×C3—22no—
1283C22×C3—22no—
1284C22×C3—22no—
1285C22×C3—41no—
1286C22×C3—41no—
1287C22×C3—41no—
1288C22×C3—41no—
1289C22×C3—41no—
1290C22×C3—41no—
1291C22×C3—41no—
1292C22×C3—41no—
1293C22×C3—41no—
1294C22×C3—41no—
1295C22×C3—41no—
1296C22×C3—41no—
1297C22×C3—41no—
1298C22×C3—41no—
1299C22×C3—41no—
1300C22×C3C22×#4111yescharacteristic
1301C22×C3C22×#4111yescharacteristic
1302C22×C3C2×H(5,𝔽2)11yescharacteristic
1303C22×C3C2×H(5,𝔽2)11yescharacteristic
1304C22×C3C2×H(5,𝔽2)11yescharacteristic
1305C22×C3#58511yescharacteristic
1306C22×C3#58511yescharacteristic
1307C2×D3—22no—
1308C2×D3—22no—
1309C2×D3—22no—
1310C2×D3—22no—
1311C2×D3—22no—
1312C2×D3—22no—
1313C2×D3—41no—
1314C2×D3—41no—
1315C2×D3—41no—
1316C2×D3—41no—
1317C2×D3—41no—
1318C2×D3—41no—
1319C2×D3—41no—
1320C2×D3—41no—
1321C2×D3—41no—
1322C2×D3—41no—
1323C2×D3—41no—
1324C2×D3—41no—
1325C2×D3—41no—
1326C2×D3—41no—
1327C2×D3—41no—
1328C2×D3—88no—
1329C2×D3—88no—
1330C3×C4—22no—
1331C3×C4—22no—
1332C3×C4—41no—
1333C3×C4—41no—
1334C3×C4—41no—
1335C3×C4—41no—
1336C3×C4—41no—
1337C3×C4—41no—
1338C3×C4—41no—
1339C3×C4—41no—
1340C3×C4—41no—
1341C3×C4—41no—
1342Dic3—41no—
1343Dic3—41no—
1344Dic3—41no—
1345Dic3—41no—
1346Dic3—41no—
1347Dic3—41no—
1348Dic3—41no—
1349Dic3—41no—
1350Dic3—41no—
1351Dic3—41no—
1352Dic3—41no—
1353Dic3—41no—
1354Dic3#55114yes—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—32no—
1375C23—32no—
1376C23—61no—
1377C23—61no—
1378C23—61no—
1379C23—61no—
1380C23—61no—
1381C23—61no—
1382C23—61no—
1383C23—61no—
1384C23—61no—
1385C23—61no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—124no—
1396C23—124no—
1397C23—124no—
1398C23—124no—
1399C23—242no—
1400C23—242no—
1401C23—242no—
1402C23—242no—
1403C23—242no—
1404C23—242no—
1405C23—242no—
1406C23—242no—
1407C23—242no—
1408C23—242no—
1409C23D3×#4112yes—
1410C23#100912yes—
1411C23C24×D311yescharacteristic
1412D4—44no—
1413D4—44no—
1414D4—68no—
1415D4—82no—
1416D4—124no—
1417D4—124no—
1418D4—124no—
1419D4—124no—
1420D4—242no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—32no—
1456C2×C4—32no—
1457C2×C4—32no—
1458C2×C4—44no—
1459C2×C4—68no—
1460C2×C4—61no—
1461C2×C4—61no—
1462C2×C4—61no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—82no—
1497C2×C4—124no—
1498C2×C4—124no—
1499C2×C4—242no—
1500C2×C4—242no—
1501C2×C4—242no—
1502C2×C4#100412yes—
1503C2×C4D3×#4112yes—
1504C2×C3—42no—
1505C2×C3—42no—
1506C2×C3—81no—
1507C2×C3C2×#55111yescharacteristic
1508C2×C3#349411yescharacteristic
1509C2×C3#350611yescharacteristic
1510C2×C3#351311yescharacteristic
1511C2×C3#351311yescharacteristic
1512C2×C3#354311yescharacteristic
1513C2×C3#356211yescharacteristic
1514D3—42no—
1515D3—42no—
1516D3—81no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—62no—
1539C22—62no—
1540C22—62no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—121no—
1545C22—121no—
1546C22—121no—
1547C22—121no—
1548C22—121no—
1549C22—121no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—248no—
1560C22—248no—
1561C22C2×#100411yescharacteristic
1562C22C2×D3×#4111yescharacteristic
1563C22C2×D3×#4111yescharacteristic
1564C22C2×#100911yescharacteristic
1565C22#596411yescharacteristic
1566C22D3×H(5,𝔽2)11yescharacteristic
1567C22#596611yescharacteristic
1568C4—22no—
1569C4—22no—
1570C4—34no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—121no—
1582C4—121no—
1583C4—121no—
1584C4—121no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4—121no—
1590C4—121no—
1591C4—121no—
1592C4—121no—
1593C3#4501911yescharacteristic, complemented, Sylow
1594C2—42no—
1595C2—42no—
1596C2—81no—
1597C2—122no—
1598C2—122no—
1599C2—241no—
1600C2#8604511yescharacteristic
1601C2#8615611yescharacteristic
1602C2#8648111yescharacteristic
1603C2#8665111yescharacteristic
1604C2#8678511yescharacteristic
1605C2#8679511yescharacteristic
1606C2D3×#55111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2471C2
prime radical#76669C2
hypercenter#2471D3
hypocenterC3#45019
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2471

Complements

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

NH ≅ G/Ntype
1. C3×#2471C2semidirect
2. #82896C2semidirect
3. #82859C2semidirect
4. #82282C2semidirect
5. #82241C2semidirect
6. #78026C2semidirect
7. #78017C2semidirect
8. #77676C2semidirect
9. #77495C2semidirect
10. #77442C2semidirect
11. #77320C2semidirect
12. #76694C2semidirect
14. #76469C2semidirect
15. #76428C2semidirect
16. #76416C2semidirect
17. #76333C2semidirect
18. #75935C2semidirect
19. #75553C2semidirect
20. #75439C2semidirect
21. #75409C2semidirect
22. #74984C2semidirect
23. #74944C2semidirect
24. #74924C2semidirect
25. #74891C2semidirect
26. #74878C2semidirect
27. #74832C2semidirect
28. #74695C2semidirect
29. #74676C2semidirect
30. #73608C2semidirect
31. #73461C2semidirect
34. C2×C3×#123C22semidirect
35. C2×C3×#117C22semidirect
40. C2×#935C22semidirect
41. C2×D4×Dic3C22semidirect
42. C2×#929C22semidirect
44. C2×C4×#67C22semidirect
46. C22×Dic3⋊C4C22semidirect
48. C2×#892C22semidirect
49. C2×#889C22semidirect
50. C2×#886C22semidirect
55. C3×#399C22semidirect
56. C3×#397C22semidirect
57. C3×#396C22semidirect
60. C3×#390C22semidirect
61. C3×#388C22semidirect
62. C3×#387C22semidirect
63. C3×#387C22semidirect
65. C3×#386C22semidirect
66. C3×#386C22semidirect
67. C3×C4×C22⋊C4C22semidirect
69. #5222C22semidirect
70. #5222C22semidirect
74. #5212C22semidirect
75. #5211C22semidirect
77. #4994C22semidirect
78. #4994C22semidirect
80. #4993C22semidirect
81. #4993C22semidirect
84. #4992C22semidirect
85. #4992C22semidirect
87. #4990C22semidirect
88. #4989C22semidirect
90. #4987C22semidirect
91. #4985C22semidirect
92. #4980C22semidirect
93. #4975C22semidirect
94. #4975C22semidirect
95. Dic3×C4⋊C4C22semidirect
96. Dic3×C4⋊C4C22semidirect
99. #4961C22semidirect
100. #4961C22semidirect
103. #4958C22semidirect
112. #4957C22semidirect
113. #4956C22semidirect
122. #4953C22semidirect
123. #4953C22semidirect
124. #4953C22semidirect
125. #4953C22semidirect
126. #4952C22semidirect
127. #4952C22semidirect
128. #4951C22semidirect
129. #4951C22semidirect
130. #4951C22semidirect
131. #4950C22semidirect
132. #4949C22semidirect
133. #4949C22semidirect
134. #4948C22semidirect
135. #4946C22semidirect
136. #4946C22semidirect
137. #4945C22semidirect
138. #4945C22semidirect
139. #4944C22semidirect
140. #4944C22semidirect
141. #4942C22semidirect
142. Dic3×C22⋊C4C22semidirect
143. Dic3×C22⋊C4C22semidirect
144. Dic3×C22⋊C4C22semidirect
147. #4940C22semidirect
148. #4940C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
152. #4933C22semidirect
153. C4×Dic3⋊C4C22semidirect
154. C4×Dic3⋊C4C22semidirect
155. #4928C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4674C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
168. #4669C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
176. #4664C22semidirect
177. #4661C22semidirect
178. #4654C22semidirect
179. #4654C22semidirect
180. #4653C22semidirect
181. #4652C22semidirect
182. #4650C22semidirect
183. #4650C22semidirect
184. #4649C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
206. #2471D3semidirect
403. C2×#123C2×D3semidirect
416. C2×#117C2×D3semidirect
427. #399C2×D3semidirect
443. #397C2×D3semidirect
449. #396C2×D3semidirect
473. #390C2×D3semidirect
499. #388C2×D3semidirect
506. #387C2×D3semidirect
507. #387C2×D3semidirect
516. #386C2×D3semidirect
517. #386C2×D3semidirect
552. C4×C22⋊C4C2×D3semidirect
1593. C3#45019semidirect

Maximal subgroups

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

subgroupindex
C3×#24712
#828962
#828592
#822822
#822412
#780262
#780172
#776762
#774952
#774422
#773202
#766942
#766692
#764692
#764282
#764162
#763332
#759352
#755532
#754392
#754092
#749842
#749442
#749242
#748912
#748782
#748322
#746952
#746762
#736082
#734612
#450193