Finite Group Databasebeta

← #11235812

Subgroups — #11235812

Order 768.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2841C211yesmaximal, characteristic, complemented
2#78399C211yesmaximal, characteristic, complemented
3#78358C211yesmaximal, characteristic, complemented
4#78343C211yesmaximal, characteristic, complemented
5#78250C211yesmaximal, characteristic, complemented
6#78101C211yesmaximal, characteristic, complemented
7#78066C211yesmaximal, characteristic, complemented
8#77982C211yesmaximal, characteristic, complemented
9#77967C211yesmaximal, characteristic, complemented
10#77960C211yesmaximal, characteristic, complemented
11#77957C211yesmaximal, characteristic, complemented
12#77956C211yesmaximal, characteristic, complemented
13#77951C211yesmaximal, characteristic, complemented
14#77901C211yesmaximal, characteristic, complemented
15#77873C211yesmaximal, characteristic, complemented
16#77416C211yesmaximal, characteristic, complemented
17#77416C211yesmaximal, characteristic, complemented
18#77375C211yesmaximal, characteristic, complemented
19#77374C211yesmaximal, characteristic, complemented
20#77264C211yesmaximal, characteristic, complemented
21#77259C211yesmaximal, characteristic, complemented
22#77254C211yesmaximal, characteristic, complemented
23#77252C211yesmaximal, characteristic, complemented
24#76827C211yesmaximal, characteristic, complemented
25#76790C211yesmaximal, characteristic, complemented
26#74146C211yesmaximal, characteristic, complemented
27#74124C211yesmaximal, characteristic, complemented
28#74048C211yesmaximal, characteristic, complemented
29#74046C211yesmaximal, characteristic, complemented
30#74013C211yesmaximal, characteristic, complemented
31D3×#380C211yesmaximal, characteristic, complemented
32#45462—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×#947C2211yescharacteristic
35C2×#946C2211yescharacteristic
36C2×#946C2211yescharacteristic, complemented
37C2×#930C2211yescharacteristic
38C2×#929C2211yescharacteristic
39C2×#895C2211yescharacteristic
40C2×#895C2211yescharacteristic
41C2×#895C2211yescharacteristic
42C2×#895C2211yescharacteristic
43C2×#895C2211yescharacteristic
44C2×#895C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#894C2211yescharacteristic, complemented
47C2×#893C2211yescharacteristic
48C2×#893C2211yescharacteristic
49C2×#893C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic
51C2×D3×C4⋊C4C2211yescharacteristic
52C2×#886C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#882C2211yescharacteristic
55C2×#882C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×D3×C22⋊C4C2211yescharacteristic
58C3×#400C2211yescharacteristic, complemented
59C3×#400C2211yescharacteristic, complemented
60C3×#399C2211yescharacteristic
61C3×#398C2211yescharacteristic, complemented
62C3×#398C2211yescharacteristic, complemented
63C3×#398C2211yescharacteristic, complemented
64C3×#398C2211yescharacteristic, complemented
65C3×#396C2211yescharacteristic
66C3×#396C2211yescharacteristic
67C3×#395C2211yescharacteristic, complemented
68C3×#395C2211yescharacteristic, complemented
69C3×#393C2211yescharacteristic
70C3×#381C2211yescharacteristic
71C3×#380C2211yescharacteristic
72C3×#380C2211yescharacteristic
73#5231C2211yescharacteristic, complemented
74#5212C2211yescharacteristic
75#4994C2211yescharacteristic, complemented
76#4994C2211yescharacteristic, complemented
77#4994C2211yescharacteristic, complemented
78#4993C2211yescharacteristic, complemented
79#4993C2211yescharacteristic, complemented
80#4992C2211yescharacteristic
81#4992C2211yescharacteristic, complemented
82#4992C2211yescharacteristic, complemented
83#4991C2211yescharacteristic
84#4991C2211yescharacteristic
85#4991C2211yescharacteristic
86#4991C2211yescharacteristic, complemented
87#4991C2211yescharacteristic, complemented
88#4991C2211yescharacteristic, complemented
89#4990C2211yescharacteristic
90#4990C2211yescharacteristic
91#4990C2211yescharacteristic, complemented
92#4990C2211yescharacteristic, complemented
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4987C2211yescharacteristic
100#4987C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic
104#4986C2211yescharacteristic, complemented
105#4985C2211yescharacteristic, complemented
106#4985C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4978C2211yescharacteristic, complemented
112#4977C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4955C2211yescharacteristic
127#4945C2211yescharacteristic
128#4944C2211yescharacteristic
129#4943C2211yescharacteristic
130#4942C2211yescharacteristic
131#4942C2211yescharacteristic
132#4677C2211yescharacteristic, complemented
133#4675C2211yescharacteristic
134#4675C2211yescharacteristic, complemented
135#4674C2211yescharacteristic, complemented
136#4672C2211yescharacteristic
137#4672C2211yescharacteristic
138#4672C2211yescharacteristic
139#4672C2211yescharacteristic, complemented
140#4672C2211yescharacteristic, complemented
141#4671C2211yescharacteristic, complemented
142#4670C2211yescharacteristic
143#4670C2211yescharacteristic
144#4670C2211yescharacteristic, complemented
145#4670C2211yescharacteristic, complemented
146#4670C2211yescharacteristic, complemented
147#4670C2211yescharacteristic, complemented
148#4669C2211yescharacteristic, complemented
149#4669C2211yescharacteristic, complemented
150#4668C2211yescharacteristic
151#4668C2211yescharacteristic
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic, complemented
155#4668C2211yescharacteristic, complemented
156#4668C2211yescharacteristic, complemented
157#4667C2211yescharacteristic
158#4667C2211yescharacteristic
159#4666C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic
178D3×#95C2211yescharacteristic
179#4660C2211yescharacteristic, complemented
180#4659C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2849—31no—
189#2847—31no—
190#2841D311yescharacteristic, complemented
191#2813—31no—
192#2781—31no—
193#2779—31no—
194#2747—31no—
195#2743—31no—
196#2741—31no—
197#2740—31no—
198#2708—31no—
199#2706—31no—
200#2696—31no—
201#2686—31no—
202#2672—31no—
203#2671—31no—
204#2591—31no—
205#2579—31no—
206#2564—31no—
207#2543—31no—
208#2505—31no—
209#2472—31no—
210#2449—31no—
211#2444—31no—
212#2443—31no—
213#2424—31no—
214#2424—31no—
215#2418—31no—
216#2377—31no—
217#2376—31no—
218C2×#380—31no—
219C24×D3C2311yescharacteristic
220C22×C3×Q8C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C23×Dic3C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×C4×D3—24no—
236C22×C4×D3—42no—
237C22×C4×D3—42no—
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊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×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271#947—42no—
272#946—42no—
273#946—42no—
274#930—24no—
275#929—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340#895—42no—
341#895—42no—
342#895—42no—
343#895—42no—
344#895—42no—
345#895—42no—
346#894—42no—
347#894—42no—
348#893—42no—
349#893—42no—
350#893—42no—
351D3×C4⋊C4—42no—
352D3×C4⋊C4—42no—
353#886—42no—
354#882—42no—
355#882—42no—
356#882—42no—
357D3×C22⋊C4—42no—
358D3×C22⋊C4—42no—
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
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C24×C4—31no—
402C2×#124—31no—
403C2×#123—31no—
404C2×#123—31no—
405C2×#123—31no—
406C2×#123—31no—
407C2×C22⋊Q8—31no—
408C2×C22⋊Q8—31no—
409C2×#121—31no—
410C2×#121—31no—
411C2×#121—31no—
412C2×#121—31no—
413C2×#121—31no—
414C2×#121—31no—
415C2×#121—31no—
416C2×#120—31no—
417C2×#120—31no—
418C2×#120—31no—
419C2×C4×D4—31no—
420C2×C4×D4—31no—
421C2×C4×D4—31no—
422C22×C4⋊C4—31no—
423C22×C4⋊C4—31no—
424C22×C22⋊C4—31no—
425C22×C22⋊C4—31no—
426#400—31no—
427#400—31no—
428#400—31no—
429#400—31no—
430#400—31no—
431#400C2×D311yescharacteristic, complemented
432#400C2×D311yescharacteristic, complemented
433#399—31no—
434#399—31no—
435#399—31no—
436#399C2×D311yescharacteristic
437#398—31no—
438#398—31no—
439#398C2×D311yescharacteristic, complemented
440#398C2×D311yescharacteristic, complemented
441#398C2×D311yescharacteristic, complemented
442#398C2×D311yescharacteristic, complemented
443#397—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#397—31no—
449#396—31no—
450#396—31no—
451#396—31no—
452#396C2×D311yescharacteristic
453#396C2×D311yescharacteristic
454#395C2×D311yescharacteristic, complemented
455#395C2×D311yescharacteristic, complemented
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#394—31no—
465#394—31no—
466#394—31no—
467#394—31no—
468#394—31no—
469#393—31no—
470#393C2×D311yescharacteristic
471#392—31no—
472#392—31no—
473#392—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#389—31no—
478#389—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#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#382—31no—
537#381—31no—
538#381—31no—
539#381C2×D311yescharacteristic
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
545#380—31no—
546#380—31no—
547#380—31no—
548#380—31no—
549#380—31no—
550#380C2×D311yescharacteristic
551#380C2×D311yescharacteristic
552#379—31no—
553C4×C22⋊C4—31no—
554C2×#95—31no—
555C2×#95—31no—
556C24×C3C2411yescharacteristic
557C23×D3—22no—
558C23×D3—22no—
559C23×D3—22no—
560C23×D3—22no—
561C23×D3—22no—
562C23×D3—41no—
563C23×D3—41no—
564C23×D3C2411yescharacteristic
565C23×D3C2411yescharacteristic
566C23×D3C2411yescharacteristic
567C23×D3C2411yescharacteristic
568C23×D3C2411yescharacteristic
569C2×C3×Q8—41no—
570C2×C3×Q8—41no—
571C2×C3×Q8—41no—
572C22×C3×C4—41no—
573C22×C3×C4—41no—
574C22×C3×C4#4114yes—
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C2×#67—22no—
590C2×#67—22no—
591C2×#67—22no—
592C2×#67—41no—
593C2×#67—41no—
594C2×#67—41no—
595C2×#67—41no—
596C2×#67—41no—
597C2×#67—41no—
598C22×Dic3—22no—
599C22×Dic3—22no—
600C22×Dic3—41no—
601C22×Dic3C2411yescharacteristic
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C2×D12—22no—
613C2×D12—22no—
614C2×D12—22no—
615C2×D12—22no—
616C2×D12—22no—
617C2×D12—22no—
618C2×D12—22no—
619C2×D12—22no—
620C2×D12—22no—
621C2×D12—22no—
622C2×D12—22no—
623C2×D12—22no—
624C2×D12—22no—
625C2×D12—41no—
626C2×D12—41no—
627C2×D12—41no—
628C2×D12—41no—
629C2×D12—41no—
630C2×D12—41no—
631C2×D12—41no—
632C2×D12—41no—
633C2×D12—41no—
634C2×D12—41no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12—41no—
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—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—416no—
652C2×C4×D3—41no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C3×C4⋊C4—41no—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692#217—22no—
693#217—41no—
694#217—41no—
695(C2×D3)⋊C4—22no—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
698(C2×D3)⋊C4—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
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—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
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—
736C4⋊Dic3—22no—
737C4⋊Dic3—22no—
738C4⋊Dic3—41no—
739C4⋊Dic3—41no—
740C4⋊Dic3—41no—
741C4⋊Dic3—41no—
742C4⋊Dic3—41no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
745Dic3⋊C4—22no—
746Dic3⋊C4—22no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750Dic3⋊C4—41no—
751Dic3⋊C4—41no—
752Dic3⋊C4—41no—
753Dic3⋊C4—41no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C25—31no—
760C22×Q8C22×D311yescharacteristic
761C22×D4—31no—
762C22×D4—31no—
763C22×D4—31no—
764C22×D4—31no—
765C22×D4—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—31no—
772C22×D4—31no—
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4—31no—
785C23×C4—64no—
786C23×C4—122no—
787C23×C4—122no—
788C23×C4C22×D311yescharacteristic
789#124—122no—
790#123—64no—
791#123—122no—
792#123—122no—
793#123—122no—
794C22⋊Q8—122no—
795C22⋊Q8—122no—
796#121—64no—
797#121—122no—
798#121—122no—
799#121—122no—
800#121—122no—
801#121—122no—
802#121—122no—
803#120—122no—
804#120—122no—
805#120—122no—
806C4×D4—122no—
807C4×D4—122no—
808C4×D4—122no—
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—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—122no—
828C2×C4⋊C4—122no—
829C2×C4⋊C4C22×D311yescharacteristic
830C2×C4⋊C4C22×D311yescharacteristic
831C2×C4⋊C4C22×D311yescharacteristic
832C2×C4⋊C4C22×D311yescharacteristic
833C2×C4⋊C4C22×D311yescharacteristic
834C2×C4⋊C4C22×D311yescharacteristic
835C2×C4⋊C4C22×D311yescharacteristic
836C2×C4⋊C4C22×D311yescharacteristic
837C2×C4⋊C4C22×D311yescharacteristic
838C2×C4⋊C4C22×D311yescharacteristic
839C2×C4⋊C4C22×D311yescharacteristic
840C2×C4⋊C4C22×D311yescharacteristic
841C2×C4⋊C4C22×D311yescharacteristic
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—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—122no—
887C2×C22⋊C4—122no—
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C22⋊C4C22×D311yescharacteristic
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—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#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930#95C22×D311yescharacteristic
931#95C22×D311yescharacteristic
932#95C22×D311yescharacteristic
933#95C22×D311yescharacteristic
934#95C22×D311yescharacteristic
935#95C22×D311yescharacteristic
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
947C23×C3C2×#4112yes—
948C23×C3C2511yescharacteristic
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—28no—
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—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—44no—
982C22×D3—44no—
983C22×D3—44no—
984C22×D3—44no—
985C22×D3—44no—
986C22×D3—44no—
987C22×D3H(5,𝔽2)12yes—
988C22×D3H(5,𝔽2)12yes—
989C22×D3H(5,𝔽2)12yes—
990C22×D32−1+412yes—
991C3×Q8—82no—
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—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—44no—
1033C2×C3×C4C2×#4112yes—
1034C2×C3×C4C2×#4112yes—
1035#67—82no—
1036#67—82no—
1037#67—82no—
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×Dic3H(5,𝔽2)12yes—
1072D12—44no—
1073D12—44no—
1074D12—44no—
1075D12—82no—
1076D12—82no—
1077D12—82no—
1078D12—82no—
1079D12—82no—
1080D12—82no—
1081C4×D3—28no—
1082C4×D3—44no—
1083C4×D3—44no—
1084C4×D3—44no—
1085C4×D3—82no—
1086C4×D3—82no—
1087C4×D3—82no—
1088C4×D3—82no—
1089C4×D3—82no—
1090C4×D3—82no—
1091C4×D3—82no—
1092C24—31no—
1093C24—31no—
1094C24—31no—
1095C24—31no—
1096C24—31no—
1097C24—62no—
1098C24—62no—
1099C24—62no—
1100C24—62no—
1101C24—62no—
1102C24—121no—
1103C24—121no—
1104C24C23×D311yescharacteristic
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8—41no—
1108C2×D4—62no—
1109C2×D4—62no—
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—62no—
1123C2×D4—62no—
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—121no—
1134C2×D4—121no—
1135C2×D4—121no—
1136C2×D4—121no—
1137C2×D4—121no—
1138C2×D4—121no—
1139C2×D4—121no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C2×D4—121no—
1143C2×D4—121no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—62no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—121no—
1172C22×C4—121no—
1173C22×C4—121no—
1174C22×C4—121no—
1175C22×C4—121no—
1176C22×C4—121no—
1177C22×C4—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—1216no—
1193C22×C4—121no—
1194C22×C4#23914yes—
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—62no—
1223C4⋊C4—62no—
1224C4⋊C4—62no—
1225C4⋊C4—62no—
1226C4⋊C4—62no—
1227C4⋊C4—62no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
1239C4⋊C4—121no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—62no—
1247C22⋊C4—62no—
1248C22⋊C4—62no—
1249C22⋊C4—62no—
1250C22⋊C4—62no—
1251C22⋊C4—62no—
1252C22⋊C4—62no—
1253C22⋊C4—62no—
1254C22⋊C4—62no—
1255C22⋊C4—62no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C22×C3—22no—
1296C22×C3—22no—
1297C22×C3—22no—
1298C22×C3—41no—
1299C22×C3—41no—
1300C22×C3—41no—
1301C22×C3—41no—
1302C22×C3C22×#4111yescharacteristic
1303C22×C3C2×H(5,𝔽2)11yescharacteristic
1304C22×C3C2×H(5,𝔽2)11yescharacteristic
1305C22×C3C2×H(5,𝔽2)11yescharacteristic
1306C22×C3C2×H(5,𝔽2)11yescharacteristic
1307C22×C3C2×2−1+411yescharacteristic
1308C22×C3#58511yescharacteristic
1309C2×D3—22no—
1310C2×D3—22no—
1311C2×D3—22no—
1312C2×D3—22no—
1313C2×D3—22no—
1314C2×D3—22no—
1315C2×D3—22no—
1316C2×D3—22no—
1317C2×D3—22no—
1318C2×D3—416no—
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—41no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3#56214yes—
1345C3×C4—22no—
1346C3×C4—22no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355C3×C4—41no—
1356C3×C4—41no—
1357C3×C4—41no—
1358C3×C4—41no—
1359Dic3—22no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—32no—
1377C23—32no—
1378C23—32no—
1379C23—32no—
1380C23—68no—
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—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—124no—
1413C23—124no—
1414C23—124no—
1415C23—124no—
1416C23—124no—
1417C23—124no—
1418C23C2×#23912yes—
1419C23C24×D311yescharacteristic
1420Q8—82no—
1421D4—124no—
1422D4—124no—
1423D4—124no—
1424D4—242no—
1425D4—242no—
1426D4—242no—
1427D4—242no—
1428D4—242no—
1429D4—242no—
1430D4—242no—
1431D4—242no—
1432D4—242no—
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—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—32no—
1474C2×C4—44no—
1475C2×C4—68no—
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—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—124no—
1509C2×C4—124no—
1510C2×C4—124no—
1511C2×C4—124no—
1512C2×C4—242no—
1513C2×C4—242no—
1514C2×C4—242no—
1515C2×C4—242no—
1516C2×C4—242no—
1517C2×C4—242no—
1518C2×C4—242no—
1519C2×C4C2×#23912yes—
1520C2×C4C2×#23912yes—
1521C2×C3—42no—
1522C2×C3#349011yescharacteristic
1523C2×C3#349211yescharacteristic
1524C2×C3#349411yescharacteristic
1525C2×C3C2×#56211yescharacteristic
1526C2×C3#353411yescharacteristic
1527C2×C3#353711yescharacteristic
1528C2×C3#354111yescharacteristic
1529D3—24no—
1530D3—42no—
1531D3—81no—
1532D3—81no—
1533D3—81no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—34no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—1216no—
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—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22C22×#23911yescharacteristic
1578C22D3×H(5,𝔽2)11yescharacteristic
1579C22D3×H(5,𝔽2)11yescharacteristic
1580C22D3×H(5,𝔽2)11yescharacteristic
1581C22D3×H(5,𝔽2)11yescharacteristic
1582C22D3×2−1+411yescharacteristic
1583C22#596811yescharacteristic
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—62no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4—121no—
1608C4—121no—
1609C3#4546211yescharacteristic, complemented, Sylow
1610C2—42no—
1611C2—64no—
1612C2—122no—
1613C2—241no—
1614C2—241no—
1615C2—241no—
1616C2#8657911yescharacteristic
1617C2#8659611yescharacteristic
1618C2#8659711yescharacteristic
1619C2#8707111yescharacteristic
1620C2D3×#56211yescharacteristic
1621C2#8710911yescharacteristic
1622C2#8711811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2841C2
hypercenter#2841D3
hypocenterC3#45462
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2841

Complements

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

NH ≅ G/Ntype
1. C3×#2841C2semidirect
2. #78399C2semidirect
3. #78358C2semidirect
4. #78343C2semidirect
5. #78250C2semidirect
6. #78101C2semidirect
7. #78066C2semidirect
8. #77982C2semidirect
9. #77967C2semidirect
10. #77960C2semidirect
11. #77957C2semidirect
12. #77956C2semidirect
13. #77951C2semidirect
14. #77901C2semidirect
15. #77873C2semidirect
16. #77416C2semidirect
17. #77416C2semidirect
18. #77375C2semidirect
19. #77374C2semidirect
20. #77264C2semidirect
21. #77259C2semidirect
22. #77254C2semidirect
23. #77252C2semidirect
24. #76827C2semidirect
25. #76790C2semidirect
26. #74146C2semidirect
27. #74124C2semidirect
28. #74048C2semidirect
29. #74046C2semidirect
30. #74013C2semidirect
31. D3×#380C2semidirect
36. C2×#946C22semidirect
46. C2×#894C22semidirect
58. C3×#400C22semidirect
59. C3×#400C22semidirect
61. C3×#398C22semidirect
62. C3×#398C22semidirect
63. C3×#398C22semidirect
64. C3×#398C22semidirect
67. C3×#395C22semidirect
68. C3×#395C22semidirect
73. #5231C22semidirect
75. #4994C22semidirect
76. #4994C22semidirect
77. #4994C22semidirect
78. #4993C22semidirect
79. #4993C22semidirect
81. #4992C22semidirect
82. #4992C22semidirect
86. #4991C22semidirect
87. #4991C22semidirect
88. #4991C22semidirect
91. #4990C22semidirect
92. #4990C22semidirect
96. #4989C22semidirect
97. #4989C22semidirect
98. #4989C22semidirect
104. #4986C22semidirect
105. #4985C22semidirect
106. #4985C22semidirect
107. #4982C22semidirect
108. #4982C22semidirect
109. #4978C22semidirect
110. #4978C22semidirect
111. #4978C22semidirect
112. #4977C22semidirect
113. #4976C22semidirect
132. #4677C22semidirect
134. #4675C22semidirect
135. #4674C22semidirect
139. #4672C22semidirect
140. #4672C22semidirect
141. #4671C22semidirect
144. #4670C22semidirect
145. #4670C22semidirect
146. #4670C22semidirect
147. #4670C22semidirect
148. #4669C22semidirect
149. #4669C22semidirect
154. #4668C22semidirect
155. #4668C22semidirect
156. #4668C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4664C22semidirect
179. #4660C22semidirect
180. #4659C22semidirect
181. #4655C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4647C22semidirect
190. #2841D3semidirect
431. #400C2×D3semidirect
432. #400C2×D3semidirect
439. #398C2×D3semidirect
440. #398C2×D3semidirect
441. #398C2×D3semidirect
442. #398C2×D3semidirect
454. #395C2×D3semidirect
455. #395C2×D3semidirect
1609. C3#45462semidirect

Maximal subgroups

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

subgroupindex
C3×#28412
#783992
#783582
#783432
#782502
#781012
#780662
#779822
#779672
#779602
#779572
#779562
#779512
#779012
#778732
#774162
#773752
#773742
#772642
#772592
#772542
#772522
#768272
#767902
#741462
#741242
#740482
#740462
#740132
D3×#3802
#454623