Finite Group Databasebeta

← #11226100

Subgroups — #11226100

Order 768.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2578C211yesmaximal, characteristic, complemented
2#78190C211yesmaximal, characteristic, complemented
3#78131C211yesmaximal, characteristic, complemented
4#77683C211yesmaximal, characteristic, complemented
5#77481C211yesmaximal, characteristic, complemented
6#77465C211yesmaximal, characteristic, complemented
7#77463C211yesmaximal, characteristic, complemented
8#77052C211yesmaximal, characteristic, complemented
9#76895C211yesmaximal, characteristic
10#75920C211yesmaximal, characteristic, complemented
11#75919C211yesmaximal, characteristic, complemented
12#75458C211yesmaximal, characteristic, complemented
13#75458C211yesmaximal, characteristic, complemented
14#75412C211yesmaximal, characteristic, complemented
15#75152C211yesmaximal, characteristic, complemented
16#75023C211yesmaximal, characteristic, complemented
17#75021C211yesmaximal, characteristic, complemented
18#74878C211yesmaximal, characteristic, complemented
19#74878C211yesmaximal, characteristic, complemented
20#74841C211yesmaximal, characteristic, complemented
21#74809C211yesmaximal, characteristic, complemented
22#74487C211yesmaximal, characteristic, complemented
23#74406C211yesmaximal, characteristic, complemented
24#74313C211yesmaximal, characteristic, complemented
25#74266C211yesmaximal, characteristic, complemented
26#74018C211yesmaximal, characteristic, complemented
27#73936C211yesmaximal, characteristic, complemented
28#73605C211yesmaximal, characteristic, complemented
29#73596C211yesmaximal, characteristic, complemented
30#73470C211yesmaximal, characteristic, complemented
31#73470C211yesmaximal, characteristic, complemented
32#45006—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C4×#67C2211yescharacteristic
35C2×C4×#67C2211yescharacteristic
36C22×(C2×D3)⋊C4C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38C2×#924C2211yescharacteristic, complemented
39C2×#898C2211yescharacteristic
40C2×#897C2211yescharacteristic, complemented
41C2×#894C2211yescharacteristic, complemented
42C2×#893C2211yescharacteristic
43C2×#887C2211yescharacteristic, complemented
44C2×#886C2211yescharacteristic, complemented
45C2×#884C2211yescharacteristic
46C2×#884C2211yescharacteristic
47C2×#882C2211yescharacteristic
48C2×#882C2211yescharacteristic
49C2×#67⋊C4C2211yescharacteristic
50C2×#67⋊C4C2211yescharacteristic
51C2×D3×C22⋊C4C2211yescharacteristic
52C2×D3×C22⋊C4C2211yescharacteristic
53C2×#876C2211yescharacteristic
54C2×#872C2211yescharacteristic, complemented
55C3×#400C2211yescharacteristic, complemented
56C3×#397C2211yescharacteristic, complemented
57C3×#397C2211yescharacteristic, complemented
58C3×#394C2211yescharacteristic
59C3×#388C2211yescharacteristic, complemented
60C3×#388C2211yescharacteristic, complemented
61C3×#387C2211yescharacteristic, complemented
62C3×#387C2211yescharacteristic, complemented
63C3×#386C2211yescharacteristic
64C3×#386C2211yescharacteristic
65C3×#385C2211yescharacteristic, complemented
66C3×#383C2211yescharacteristic, complemented
67C3×#380C2211yescharacteristic, complemented
68C3×C4×C22⋊C4C2211yescharacteristic, complemented
69C3×C4×C22⋊C4C2211yescharacteristic, complemented
70#5223C2211yescharacteristic
71#5220C2211yescharacteristic
72#5220C2211yescharacteristic
73#5213C2211yescharacteristic, complemented
74#5213C2211yescharacteristic, complemented
75#5210C2211yescharacteristic, complemented
76#4993C2211yescharacteristic, complemented
77#4992C2211yescharacteristic
78#4991C2211yescharacteristic
79#4991C2211yescharacteristic
80#4991C2211yescharacteristic
81#4991C2211yescharacteristic, complemented
82#4989C2211yescharacteristic, complemented
83#4987C2211yescharacteristic, complemented
84#4987C2211yescharacteristic, complemented
85#4987C2211yescharacteristic, complemented
86#4985C2211yescharacteristic, complemented
87#4978C2211yescharacteristic, complemented
88#4976C2211yescharacteristic, complemented
89#4976C2211yescharacteristic, complemented
90#4975C2211yescharacteristic, complemented
91#4959C2211yescharacteristic, complemented
92#4959C2211yescharacteristic, complemented
93#4958C2211yescharacteristic, complemented
94#4957C2211yescharacteristic
95#4957C2211yescharacteristic
96#4957C2211yescharacteristic
97#4957C2211yescharacteristic
98#4957C2211yescharacteristic
99#4957C2211yescharacteristic
100#4957C2211yescharacteristic, complemented
101#4957C2211yescharacteristic, complemented
102#4955C2211yescharacteristic
103#4955C2211yescharacteristic
104#4955C2211yescharacteristic
105#4955C2211yescharacteristic
106#4955C2211yescharacteristic
107#4955C2211yescharacteristic
108#4951C2211yescharacteristic, complemented
109#4951C2211yescharacteristic, complemented
110#4951C2211yescharacteristic, complemented
111#4951C2211yescharacteristic, complemented
112#4949C2211yescharacteristic, complemented
113#4948C2211yescharacteristic, complemented
114#4948C2211yescharacteristic, complemented
115#4947C2211yescharacteristic, complemented
116#4946C2211yescharacteristic, complemented
117#4943C2211yescharacteristic, complemented
118#4943C2211yescharacteristic, complemented
119#4943C2211yescharacteristic, complemented
120#4942C2211yescharacteristic, complemented
121#4942C2211yescharacteristic, complemented
122#4940C2211yescharacteristic
123#4940C2211yescharacteristic
124#4940C2211yescharacteristic, complemented
125#4940C2211yescharacteristic, complemented
126#4940C2211yescharacteristic, complemented
127#4940C2211yescharacteristic, complemented
128#4939C2211yescharacteristic, complemented
129#4939C2211yescharacteristic, complemented
130C4×Dic3⋊C4C2211yescharacteristic, complemented
131C4×Dic3⋊C4C2211yescharacteristic, complemented
132#4676C2211yescharacteristic, complemented
133#4676C2211yescharacteristic, complemented
134#4675C2211yescharacteristic
135#4675C2211yescharacteristic
136#4675C2211yescharacteristic, complemented
137#4675C2211yescharacteristic, complemented
138#4675C2211yescharacteristic, complemented
139#4674C2211yescharacteristic
140#4674C2211yescharacteristic
141#4674C2211yescharacteristic, complemented
142#4674C2211yescharacteristic, complemented
143#4673C2211yescharacteristic
144#4673C2211yescharacteristic, complemented
145#4673C2211yescharacteristic, complemented
146#4672C2211yescharacteristic
147#4672C2211yescharacteristic
148#4672C2211yescharacteristic, complemented
149#4671C2211yescharacteristic
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic
152#4669C2211yescharacteristic, complemented
153#4669C2211yescharacteristic, complemented
154#4668C2211yescharacteristic, complemented
155#4668C2211yescharacteristic, complemented
156#4667C2211yescharacteristic
157#4667C2211yescharacteristic
158#4667C2211yescharacteristic
159#4667C2211yescharacteristic, complemented
160#4666C2211yescharacteristic
161#4666C2211yescharacteristic
162#4666C2211yescharacteristic, complemented
163#4666C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4666C2211yescharacteristic, complemented
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4664C2211yescharacteristic, complemented
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4660C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4659C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4651C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4648C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2749—31no—
189#2749—31no—
190#2743—31no—
191#2743—31no—
192#2696—31no—
193#2696—31no—
194#2685—31no—
195#2685—31no—
196#2580—31no—
197#2578—31no—
198#2578D311yescharacteristic, complemented
199#2561—31no—
200#2561—31no—
201#2538—31no—
202#2496—31no—
203#2495—31no—
204#2485—31no—
205#2480—31no—
206#2480—31no—
207#2422—31no—
208#2420—31no—
209#2412—31no—
210#2412—31no—
211#2408—31no—
212#2398—31no—
213#2363—31no—
214#2363—31no—
215D4×C22⋊C4—31no—
216D4×C22⋊C4—31no—
217#2319—31no—
218#2319—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C2×D3×D4—24no—
231C2×D3×D4—24no—
232C2×D3×D4—42no—
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
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×C42C2311yescharacteristic
260C2×C3×C42C2311yescharacteristic
261C2×C3×C42C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C4×#67—42no—
271C4×#67—42no—
272C2×(C2×D3)⋊C4—42no—
273C2×(C2×D3)⋊C4—42no—
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317#924—42no—
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342#898—42no—
343#897—42no—
344#894—42no—
345#893—42no—
346#887—42no—
347#886—42no—
348#884—24no—
349#884—24no—
350#882—42no—
351#882—42no—
352#67⋊C4—24no—
353#67⋊C4—24no—
354D3×C22⋊C4—42no—
355D3×C22⋊C4—42no—
356#876—42no—
357#872—42no—
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
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×#126—31no—
400C2×#126—31no—
401C2×#123—31no—
402C2×#123—31no—
403C2×C22⋊Q8—31no—
404C2×C22⋊Q8—31no—
405C2×#121—31no—
406C2×#121—31no—
407C2×#120—31no—
408C2×#120—31no—
409C2×C4×Q8—31no—
410C2×C4×D4—31no—
411C2×C4×D4—31no—
412C2×C4×D4—31no—
413C2×C4×D4—31no—
414C2×C4×D4—31no—
415C2×#117—31no—
416C22×C22⋊C4—31no—
417C22×C22⋊C4—31no—
418C22×C22⋊C4—31no—
419C22×C22⋊C4—31no—
420#400—31no—
421#400—31no—
422#400—31no—
423#400—31no—
424#400—31no—
425#400C2×D311yescharacteristic, complemented
426#399—31no—
427#399—31no—
428#397—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#397C2×D311yescharacteristic, complemented
439#397C2×D311yescharacteristic, complemented
440#396—31no—
441#396—31no—
442#396—31no—
443#396—31no—
444#394—31no—
445#394—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#394C2×D311yescharacteristic
454#393—31no—
455#393—31no—
456#393—31no—
457#393—31no—
458#392—31no—
459#392—31no—
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#389—31no—
471#389—31no—
472#389—31no—
473#389—31no—
474#389—31no—
475#389—31no—
476#388—31no—
477#388—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#387C2×D311yescharacteristic, complemented
495#387C2×D311yescharacteristic, complemented
496#386—31no—
497#386—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386C2×D311yescharacteristic
509#386C2×D311yescharacteristic
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385C2×D311yescharacteristic, complemented
516#384—31no—
517#383—31no—
518#383C2×D311yescharacteristic, complemented
519#382—31no—
520#381—31no—
521#381—31no—
522#381—31no—
523#381—31no—
524#381—31no—
525#381—31no—
526#380—31no—
527#380—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531#380—31no—
532#380—31no—
533#380—31no—
534#380—31no—
535#380C2×D311yescharacteristic, complemented
536#379—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541#379—31no—
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C22⋊C4—31no—
545C4×C22⋊C4—31no—
546C4×C22⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4C2×D311yescharacteristic, complemented
551C4×C22⋊C4C2×D311yescharacteristic, complemented
552#376—31no—
553C24×C3C2411yescharacteristic
554C24×C3C2411yescharacteristic
555C23×D3—22no—
556C23×D3—22no—
557C23×D3—22no—
558C23×D3—22no—
559C23×D3—22no—
560C23×D3—22no—
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×D3C2411yescharacteristic
570C23×D3C2411yescharacteristic
571C23×D3C2411yescharacteristic
572C23×D3C2411yescharacteristic
573C2×C3×D4—22no—
574C2×C3×D4—22no—
575C2×C3×D4—41no—
576C22×C3×C4—22no—
577C22×C3×C4—41no—
578C22×C3×C4—41no—
579C22×C3×C4—41no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C2×#67—22no—
596C2×#67—22no—
597C2×#67—22no—
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—22no—
601C2×#67—41no—
602C2×#67—41no—
603C2×#67—41no—
604C2×#67—41no—
605C2×#67#4114yes—
606C2×#67#4114yes—
607C22×Dic3—22no—
608C22×Dic3—22no—
609C22×Dic3—41no—
610C22×Dic3—41no—
611C22×Dic3—41no—
612C22×Dic3—41no—
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625D3×D4—416no—
626C2×D12—22no—
627C2×D12—22no—
628C2×D12—22no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—41no—
632C2×D12—41no—
633C2×D12—41no—
634C2×D12—41no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×C4×D3—22no—
639C2×C4×D3—22no—
640C2×C4×D3—22no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—41no—
648C2×C4×D3—41no—
649C2×C4×D3—41no—
650C2×C4×D3—41no—
651C2×C4×D3—41no—
652C2×C4×D3—41no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×Dic6—22no—
657C2×Dic6—41no—
658C2×Dic6—41no—
659C3×C4⋊C4—22no—
660C3×C4⋊C4—41no—
661C3×C4⋊C4—41no—
662C3×C4⋊C4—41no—
663C3×C4⋊C4—41no—
664C3×C22⋊C4—22no—
665C3×C22⋊C4—22no—
666C3×C22⋊C4—22no—
667C3×C22⋊C4—22no—
668C3×C22⋊C4—22no—
669C3×C22⋊C4—41no—
670C3×C22⋊C4—41no—
671C3×C22⋊C4—41no—
672C3×C22⋊C4—41no—
673C3×C22⋊C4—41no—
674C3×C42—41no—
675C3×C42—41no—
676C3×C42—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(C2×D3)⋊C4—22no—
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—22no—
694(C2×D3)⋊C4—22no—
695(C2×D3)⋊C4—22no—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
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—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723C4⋊Dic3—22no—
724C4⋊Dic3—41no—
725C4⋊Dic3—41no—
726C4⋊Dic3—41no—
727C4⋊Dic3—41no—
728Dic3⋊C4—22no—
729Dic3⋊C4—22no—
730Dic3⋊C4—22no—
731Dic3⋊C4—22no—
732Dic3⋊C4—22no—
733Dic3⋊C4—22no—
734Dic3⋊C4—41no—
735Dic3⋊C4—41no—
736Dic3⋊C4—41no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744C4×Dic3—22no—
745C4×Dic3—22no—
746C4×Dic3—22no—
747C4×Dic3—22no—
748C4×Dic3—22no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C25—31no—
753C25—31no—
754C22×Q8—31no—
755C22×D4—31no—
756C22×D4—31no—
757C22×D4—31no—
758C22×D4—31no—
759C22×D4—31no—
760C22×D4—31no—
761C22×D4—31no—
762C22×D4—31no—
763C22×D4—64no—
764C22×D4—64no—
765C22×D4—122no—
766C22×D4C22×D311yescharacteristic
767C23×C4—31no—
768C23×C4—31no—
769C23×C4—31no—
770C23×C4—31no—
771C23×C4—31no—
772C23×C4—31no—
773C23×C4—31no—
774C23×C4—31no—
775C23×C4C22×D311yescharacteristic
776C23×C4C22×D311yescharacteristic
777#126—122no—
778#126—122no—
779#123—122no—
780#123—122no—
781C22⋊Q8—122no—
782C22⋊Q8—122no—
783#121—64no—
784#121—64no—
785#120—122no—
786#120—122no—
787C4×Q8—122no—
788C4×D4—64no—
789C4×D4—64no—
790C4×D4—122no—
791C4×D4—122no—
792C4×D4—122no—
793#117—122no—
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⋊C4C22×D311yescharacteristic
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C22⋊C4—31no—
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
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—122no—
867C2×C22⋊C4—122no—
868C2×C22⋊C4—122no—
869C2×C22⋊C4—122no—
870C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
881C2×C42—31no—
882C2×C42—31no—
883C2×C42—31no—
884C2×C42—31no—
885C2×C42—31no—
886C2×C42—31no—
887C2×C42—31no—
888C2×C42C22×D311yescharacteristic
889C2×C42C22×D311yescharacteristic
890C2×C42C22×D311yescharacteristic
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
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#95C22×D311yescharacteristic
918#95C22×D311yescharacteristic
919#95C22×D311yescharacteristic
920#95C22×D311yescharacteristic
921#95C22×D311yescharacteristic
922#95C22×D311yescharacteristic
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×C3C2×#4112yes—
944C23×C3C2×#4112yes—
945C23×C3C2511yescharacteristic
946C22×D3—21no—
947C22×D3—21no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
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—44no—
972C22×D3—44no—
973C22×D3—44no—
974C22×D3—44no—
975C22×D3—44no—
976C22×D3—44no—
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×D3C2×#4112yes—
986C22×D3C2×#4112yes—
987C22×D3H(5,𝔽2)12yes—
988C3×D4—44no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
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—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—82no—
1028C2×C3×C4—82no—
1029C2×C3×C4H(5,𝔽2)12yes—
1030#67—28no—
1031#67—28no—
1032#67—82no—
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—82no—
1068C2×Dic3—82no—
1069C2×Dic3C2×#4112yes—
1070C2×Dic3C2×#4112yes—
1071C2×Dic3H(5,𝔽2)12yes—
1072D12—44no—
1073D12—44no—
1074D12—82no—
1075D12—82no—
1076C4×D3—44no—
1077C4×D3—44no—
1078C4×D3—82no—
1079C4×D3—82no—
1080C4×D3—82no—
1081C4×D3—82no—
1082Dic6—44no—
1083C24—31no—
1084C24—31no—
1085C24—31no—
1086C24—31no—
1087C24—62no—
1088C24—62no—
1089C24—62no—
1090C24—62no—
1091C24—62no—
1092C24—62no—
1093C24—121no—
1094C24—121no—
1095C24—121no—
1096C24—121no—
1097C24—121no—
1098C24—121no—
1099C24—121no—
1100C24—121no—
1101C24C23×D311yescharacteristic
1102C24C23×D311yescharacteristic
1103C2×Q8—62no—
1104C2×Q8—121no—
1105C2×Q8—121no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—34no—
1109C2×D4—34no—
1110C2×D4—41no—
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—121no—
1124C2×D4—121no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4—121no—
1131C2×D4—121no—
1132C2×D4—121no—
1133C2×D4—1216no—
1134C22×C4—22no—
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—31no—
1146C22×C4—31no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—62no—
1153C22×C4—62no—
1154C22×C4—62no—
1155C22×C4—62no—
1156C22×C4—62no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—121no—
1164C22×C4—121no—
1165C22×C4—121no—
1166C22×C4—121no—
1167C22×C4—121no—
1168C22×C4—121no—
1169C22×C4—121no—
1170C22×C4—121no—
1171C22×C4—121no—
1172C22×C4—121no—
1173C22×C4—121no—
1174C22×C4—121no—
1175C22×C4—121no—
1176C22×C4C23×D311yescharacteristic
1177C22×C4C23×D311yescharacteristic
1178C22×C4C23×D311yescharacteristic
1179C22×C4C23×D311yescharacteristic
1180C22×C4C23×D311yescharacteristic
1181C22×C4C23×D311yescharacteristic
1182C22×C4C23×D311yescharacteristic
1183C22×C4C23×D311yescharacteristic
1184C22×C4C23×D311yescharacteristic
1185C22×C4C23×D311yescharacteristic
1186C22×C4C23×D311yescharacteristic
1187C22×C4C23×D311yescharacteristic
1188C22×C4C23×D311yescharacteristic
1189C4⋊C4—22no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—62no—
1195C4⋊C4—62no—
1196C4⋊C4—62no—
1197C4⋊C4—62no—
1198C4⋊C4—62no—
1199C4⋊C4—62no—
1200C4⋊C4—62no—
1201C4⋊C4—121no—
1202C4⋊C4—121no—
1203C4⋊C4—121no—
1204C4⋊C4—121no—
1205C4⋊C4—121no—
1206C4⋊C4—121no—
1207C4⋊C4—121no—
1208C4⋊C4—121no—
1209C4⋊C4—121no—
1210C4⋊C4—121no—
1211C4⋊C4—121no—
1212C4⋊C4—121no—
1213C4⋊C4—121no—
1214C4⋊C4—121no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
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—62no—
1234C22⋊C4—62no—
1235C22⋊C4—62no—
1236C22⋊C4—62no—
1237C22⋊C4—62no—
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—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—62no—
1275C42—62no—
1276C42—62no—
1277C42—62no—
1278C42—62no—
1279C42—121no—
1280C42—121no—
1281C42—121no—
1282C22×C3—22no—
1283C22×C3—22no—
1284C22×C3—22no—
1285C22×C3—22no—
1286C22×C3—22no—
1287C22×C3—22no—
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×C3C22×#4111yescharacteristic
1297C22×C3C22×#4111yescharacteristic
1298C22×C3C2×H(5,𝔽2)11yescharacteristic
1299C22×C3C2×H(5,𝔽2)11yescharacteristic
1300C22×C3C2×H(5,𝔽2)11yescharacteristic
1301C22×C3#58511yescharacteristic
1302C22×C3#58511yescharacteristic
1303C2×D3—22no—
1304C2×D3—22no—
1305C2×D3—22no—
1306C2×D3—22no—
1307C2×D3—22no—
1308C2×D3—22no—
1309C2×D3—22no—
1310C2×D3—22no—
1311C2×D3—22no—
1312C2×D3—41no—
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—41no—
1329C2×D3—41no—
1330C2×D3—41no—
1331C2×D3—88no—
1332C2×D3—88no—
1333C3×C4—22no—
1334C3×C4—41no—
1335C3×C4—41no—
1336C3×C4—41no—
1337C3×C4—41no—
1338C3×C4—41no—
1339C3×C4—41no—
1340C3×C4—41no—
1341C3×C4—41no—
1342C3×C4—41no—
1343C3×C4—41no—
1344C3×C4—41no—
1345C3×C4—41no—
1346Dic3—41no—
1347Dic3—41no—
1348Dic3—41no—
1349Dic3—41no—
1350Dic3—41no—
1351Dic3—41no—
1352Dic3—41no—
1353Dic3—41no—
1354Dic3—41no—
1355Dic3—41no—
1356Dic3—41no—
1357Dic3#55114yes—
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—32no—
1371C23—32no—
1372C23—32no—
1373C23—61no—
1374C23—61no—
1375C23—61no—
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—61no—
1396C23—61no—
1397C23—61no—
1398C23—124no—
1399C23—124no—
1400C23—124no—
1401C23—124no—
1402C23—124no—
1403C23—124no—
1404C23—242no—
1405C23—242no—
1406C23—242no—
1407C23—242no—
1408C23—242no—
1409C23—242no—
1410C23—242no—
1411C23—242no—
1412C23D3×#4112yes—
1413C23D3×#4112yes—
1414C23C24×D311yescharacteristic
1415Q8—124no—
1416D4—44no—
1417D4—68no—
1418D4—68no—
1419D4—124no—
1420D4—124no—
1421D4—242no—
1422D4—242no—
1423D4—242no—
1424D4—242no—
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—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—32no—
1464C2×C4—32no—
1465C2×C4—32no—
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—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—82no—
1500C2×C4—82no—
1501C2×C4—124no—
1502C2×C4—124no—
1503C2×C4—242no—
1504C2×C4—242no—
1505C2×C4—242no—
1506C2×C4—242no—
1507C2×C4—242no—
1508C2×C4—242no—
1509C2×C4#100912yes—
1510C2×C3—42no—
1511C2×C3—42no—
1512C2×C3C2×#55111yescharacteristic
1513C2×C3#351311yescharacteristic
1514C2×C3#351411yescharacteristic
1515C2×C3#351911yescharacteristic
1516C2×C3#352111yescharacteristic
1517C2×C3#354211yescharacteristic
1518C2×C3#354211yescharacteristic
1519D3—42no—
1520D3—42no—
1521D3—42no—
1522D3—81no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—62no—
1538C22—62no—
1539C22—62no—
1540C22—62no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
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—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—248no—
1566C22—248no—
1567C22C2×D3×#4111yescharacteristic
1568C22C2×D3×#4111yescharacteristic
1569C22C2×#100911yescharacteristic
1570C22#596411yescharacteristic
1571C22#596411yescharacteristic
1572C22D3×H(5,𝔽2)11yescharacteristic
1573C22D3×H(5,𝔽2)11yescharacteristic
1574C4—22no—
1575C4—34no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—121no—
1589C4—121no—
1590C4—121no—
1591C4—121no—
1592C4—121no—
1593C4—121no—
1594C4—121no—
1595C4—121no—
1596C4—121no—
1597C4—121no—
1598C4—121no—
1599C3#4500611yescharacteristic, complemented, Sylow
1600C2—42no—
1601C2—42no—
1602C2—122no—
1603C2—122no—
1604C2—122no—
1605C2—241no—
1606C2#8616211yescharacteristic
1607C2#8616811yescharacteristic
1608C2#8640011yescharacteristic
1609C2#8680511yescharacteristic
1610C2D3×#55111yescharacteristic
1611C2#8688211yescharacteristic
1612C2#8688711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2578C2
prime radical#76895C2
hypercenter#2578D3
hypocenterC3#45006
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2578

Complements

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

NH ≅ G/Ntype
1. C3×#2578C2semidirect
2. #78190C2semidirect
3. #78131C2semidirect
4. #77683C2semidirect
5. #77481C2semidirect
6. #77465C2semidirect
7. #77463C2semidirect
8. #77052C2semidirect
10. #75920C2semidirect
11. #75919C2semidirect
12. #75458C2semidirect
13. #75458C2semidirect
14. #75412C2semidirect
15. #75152C2semidirect
16. #75023C2semidirect
17. #75021C2semidirect
18. #74878C2semidirect
19. #74878C2semidirect
20. #74841C2semidirect
21. #74809C2semidirect
22. #74487C2semidirect
23. #74406C2semidirect
24. #74313C2semidirect
25. #74266C2semidirect
26. #74018C2semidirect
27. #73936C2semidirect
28. #73605C2semidirect
29. #73596C2semidirect
30. #73470C2semidirect
31. #73470C2semidirect
38. C2×#924C22semidirect
40. C2×#897C22semidirect
41. C2×#894C22semidirect
43. C2×#887C22semidirect
44. C2×#886C22semidirect
54. C2×#872C22semidirect
55. C3×#400C22semidirect
56. C3×#397C22semidirect
57. C3×#397C22semidirect
59. C3×#388C22semidirect
60. C3×#388C22semidirect
61. C3×#387C22semidirect
62. C3×#387C22semidirect
65. C3×#385C22semidirect
66. C3×#383C22semidirect
67. C3×#380C22semidirect
68. C3×C4×C22⋊C4C22semidirect
69. C3×C4×C22⋊C4C22semidirect
73. #5213C22semidirect
74. #5213C22semidirect
75. #5210C22semidirect
76. #4993C22semidirect
81. #4991C22semidirect
82. #4989C22semidirect
83. #4987C22semidirect
84. #4987C22semidirect
85. #4987C22semidirect
86. #4985C22semidirect
87. #4978C22semidirect
88. #4976C22semidirect
89. #4976C22semidirect
90. #4975C22semidirect
91. #4959C22semidirect
92. #4959C22semidirect
93. #4958C22semidirect
100. #4957C22semidirect
101. #4957C22semidirect
108. #4951C22semidirect
109. #4951C22semidirect
110. #4951C22semidirect
111. #4951C22semidirect
112. #4949C22semidirect
113. #4948C22semidirect
114. #4948C22semidirect
115. #4947C22semidirect
116. #4946C22semidirect
117. #4943C22semidirect
118. #4943C22semidirect
119. #4943C22semidirect
120. #4942C22semidirect
121. #4942C22semidirect
124. #4940C22semidirect
125. #4940C22semidirect
126. #4940C22semidirect
127. #4940C22semidirect
128. #4939C22semidirect
129. #4939C22semidirect
130. C4×Dic3⋊C4C22semidirect
131. C4×Dic3⋊C4C22semidirect
132. #4676C22semidirect
133. #4676C22semidirect
136. #4675C22semidirect
137. #4675C22semidirect
138. #4675C22semidirect
141. #4674C22semidirect
142. #4674C22semidirect
144. #4673C22semidirect
145. #4673C22semidirect
148. #4672C22semidirect
152. #4669C22semidirect
153. #4669C22semidirect
154. #4668C22semidirect
155. #4668C22semidirect
159. #4667C22semidirect
162. #4666C22semidirect
163. #4666C22semidirect
164. #4666C22semidirect
165. #4666C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4664C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4660C22semidirect
177. #4660C22semidirect
178. #4659C22semidirect
179. #4658C22semidirect
180. #4653C22semidirect
181. #4651C22semidirect
182. #4650C22semidirect
183. #4648C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
198. #2578D3semidirect
425. #400C2×D3semidirect
438. #397C2×D3semidirect
439. #397C2×D3semidirect
490. #388C2×D3semidirect
491. #388C2×D3semidirect
494. #387C2×D3semidirect
495. #387C2×D3semidirect
515. #385C2×D3semidirect
518. #383C2×D3semidirect
535. #380C2×D3semidirect
550. C4×C22⋊C4C2×D3semidirect
551. C4×C22⋊C4C2×D3semidirect
1599. C3#45006semidirect

Maximal subgroups

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

subgroupindex
C3×#25782
#781902
#781312
#776832
#774812
#774652
#774632
#770522
#768952
#759202
#759192
#754582
#754122
#751522
#750232
#750212
#748782
#748412
#748092
#744872
#744062
#743132
#742662
#740182
#739362
#736052
#735962
#734702
#450063