Finite Group Databasebeta

← #11633227

Subgroups — #11633227

Order 768.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic
3C3×#2698C211yesmaximal, characteristic, complemented
4#83105C211yesmaximal, characteristic, complemented
5#82795C211yesmaximal, characteristic, complemented
6#78343C211yesmaximal, characteristic, complemented
7#78342C211yesmaximal, characteristic, complemented
8#77953C211yesmaximal, characteristic, complemented
9#77947C211yesmaximal, characteristic, complemented
10#77946C211yesmaximal, characteristic, complemented
11#77764C211yesmaximal, characteristic, complemented
12#77671C211yesmaximal, characteristic, complemented
13#77668C211yesmaximal, characteristic, complemented
14#77668C211yesmaximal, characteristic, complemented
15#77468C211yesmaximal, characteristic, complemented
16#77253C211yesmaximal, characteristic, complemented
17#77249C211yesmaximal, characteristic, complemented
18#76627C211yesmaximal, characteristic, complemented
19#76613C211yesmaximal, characteristic, complemented
20#76217C211yesmaximal, characteristic, complemented
21#76200C211yesmaximal, characteristic, complemented
22#75836C211yesmaximal, characteristic, complemented
23#75519C211yesmaximal, characteristic, complemented
24#75316C211yesmaximal, characteristic, complemented
25#75307C211yesmaximal, characteristic, complemented
26D3×#385C211yesmaximal, characteristic, complemented
27#74522C211yesmaximal, characteristic, complemented
28#74233C211yesmaximal, characteristic, complemented
29#74228C211yesmaximal, characteristic, complemented
30#74138C211yesmaximal, characteristic, complemented
31D3×#381C211yesmaximal, characteristic, complemented
32#59010—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#930C2211yescharacteristic
39#5705—28no—
40#5627—28no—
41C2×#897C2211yescharacteristic
42C2×#896C2211yescharacteristic
43C2×#895C2211yescharacteristic
44C2×#894C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#893C2211yescharacteristic
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#892C2211yescharacteristic
55C2×#892C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#882C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C3×#400C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#397C2211yescharacteristic
77C3×#395C2211yescharacteristic, complemented
78C3×#391C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic
81C3×#387C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83C3×#382C2211yescharacteristic, complemented
84C3×#381C2211yescharacteristic
85#5230C2211yescharacteristic, complemented
86#5229C2211yescharacteristic, complemented
87#5211C2211yescharacteristic
88#5210C2211yescharacteristic
89#4994C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4992C2211yescharacteristic, complemented
92#4992C2211yescharacteristic, complemented
93#4992C2211yescharacteristic, complemented
94#4991C2211yescharacteristic, complemented
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic
98#4989C2211yescharacteristic, complemented
99#4989C2211yescharacteristic, complemented
100#4987C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic, complemented
103#4986C2211yescharacteristic, complemented
104#4985C2211yescharacteristic, complemented
105#4984C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4972C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4957C2211yescharacteristic
121#4956C2211yescharacteristic
122#4952C2211yescharacteristic
123#4952C2211yescharacteristic
124#4951C2211yescharacteristic
125#4950C2211yescharacteristic
126#4946C2211yescharacteristic
127#4943C2211yescharacteristic
128#4943C2211yescharacteristic
129#4940C2211yescharacteristic, complemented
130C4×(C2×D3)⋊C4C2211yescharacteristic
131C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
132C4×C4⋊Dic3C2211yescharacteristic, complemented
133#4933C2211yescharacteristic, complemented
134#4674C2211yescharacteristic, complemented
135#4674C2211yescharacteristic, complemented
136#4673C2211yescharacteristic, complemented
137#4672C2211yescharacteristic, complemented
138#4670C2211yescharacteristic, complemented
139#4669C2211yescharacteristic, complemented
140#4669C2211yescharacteristic, complemented
141#4668C2211yescharacteristic
142#4668C2211yescharacteristic
143#4668C2211yescharacteristic
144#4668C2211yescharacteristic
145#4668C2211yescharacteristic
146#4668C2211yescharacteristic, complemented
147#4668C2211yescharacteristic, complemented
148#4668C2211yescharacteristic, complemented
149#4667C2211yescharacteristic
150#4667C2211yescharacteristic
151#4667C2211yescharacteristic, complemented
152#4667C2211yescharacteristic, complemented
153#4666C2211yescharacteristic
154#4665C2211yescharacteristic
155#4665C2211yescharacteristic
156#4665C2211yescharacteristic
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic, complemented
163#4665C2211yescharacteristic, complemented
164#4664C2211yescharacteristic
165#4664C2211yescharacteristic
166#4664C2211yescharacteristic
167#4664C2211yescharacteristic
168#4664C2211yescharacteristic
169#4664C2211yescharacteristic
170#4664C2211yescharacteristic, complemented
171#4664C2211yescharacteristic, complemented
172D3×#95C2211yescharacteristic
173D3×#95C2211yescharacteristic
174D3×#95C2211yescharacteristic
175D3×#95C2211yescharacteristic
176D3×#95C2211yescharacteristic
177D3×#95C2211yescharacteristic
178D3×#95C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2701—31no—
193#2698D311yescharacteristic, complemented
194#2689—31no—
195#2686—31no—
196#2549—31no—
197#2488—31no—
198#2486—31no—
199#2468—31no—
200#2466—31no—
201#2450—31no—
202#2447—31no—
203#2444—31no—
204#2438—31no—
205#2438—31no—
206#2425—31no—
207#2419—31no—
208#2419—31no—
209#2419—31no—
210#2413—31no—
211#2412—31no—
212#2412—31no—
213#2406—31no—
214#2359—31no—
215#2358—31no—
216#2349—31no—
217#2344—31no—
218#2339—31no—
219C2×#385—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C2×#239—24no—
228C2×#239—24no—
229C2×#239—42no—
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×C4×D3—24no—
236C22×C4×D3—24no—
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
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C3×#126—24no—
256C3×C22⋊Q8—24no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280#946—24no—
281#930—24no—
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
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
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
340#897—24no—
341#896—24no—
342#895—24no—
343#894—24no—
344#894—24no—
345#894—24no—
346#894—24no—
347#894—24no—
348#894—42no—
349#893—24no—
350#893—24no—
351#893—24no—
352#893—42no—
353#892—24no—
354#892—24no—
355D3×C4⋊C4—24no—
356D3×C4⋊C4—42no—
357#885—24no—
358#883—24no—
359#882—24no—
360#882D418yes—
361#67⋊C4—24no—
362#67⋊C4—24no—
363D3×C22⋊C4—24no—
364D3×C22⋊C4—24no—
365D3×C22⋊C4—24no—
366D3×C22⋊C4—42no—
367#879—24no—
368C4×D12—24no—
369C4×D12—24no—
370#872—24no—
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C24×C4—31no—
419#551—68no—
420C2×#126—31no—
421C2×#126C2×D311yescharacteristic
422C2×#124—31no—
423#525—68no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8C2×D311yescharacteristic
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×#117—31no—
448C2×#117—31no—
449C2×#117—31no—
450C22×C4⋊C4—31no—
451C22×C4⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400C2×D311yescharacteristic, complemented
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398C2×D311yescharacteristic, complemented
466#398C2×D311yescharacteristic, complemented
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397C2×D311yescharacteristic
475#397C2×D311yescharacteristic
476#396—31no—
477#396—31no—
478#395—31no—
479#395—31no—
480#395C2×D311yescharacteristic, complemented
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#393—31no—
488#391—31no—
489#391—31no—
490#391—31no—
491#391C2×D311yescharacteristic, complemented
492#390—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389C2×D311yescharacteristic, complemented
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388C2×D311yescharacteristic
506#387—31no—
507#387—31no—
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387C2×D311yescharacteristic, complemented
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—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#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385C2×D311yescharacteristic
542#382C2×D311yescharacteristic, complemented
543#381—31no—
544#381—31no—
545#381—31no—
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381C2×D311yescharacteristic
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C2×#95—31no—
568C2×#95—31no—
569C2×#95—31no—
570C2×#95—31no—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2×D414yes—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—41no—
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C2×#67—22no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67C2×D414yes—
612C22×Dic3—22no—
613C22×Dic3—22no—
614C22×Dic3—41no—
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627#239—416no—
628C2×D12—22no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—41no—
641C2×D12C2×D414yes—
642C2×D12C2×D414yes—
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—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—416no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3#4114yes—
692C2×Dic6—22no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4C2×D414yes—
712C3×C42—22no—
713C3×C42—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—41no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4C2×D414yes—
746(C2×D3)⋊C4C2×D414yes—
747(C2×D3)⋊C4#4114yescomplemented
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C2×#41—64no—
778C2×#41—64no—
779C2×#41—122no—
780C22×Q8—31no—
781C22×Q8C22×D311yescharacteristic
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—64no—
807C23×C4—64no—
808C23×C4—122no—
809C23×C4C22×D311yescharacteristic
810#126—24no—
811#126—64no—
812#124—64no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—122no—
820C22⋊Q8—24no—
821C22⋊Q8—64no—
822C22⋊Q8—64no—
823C22⋊Q8—64no—
824#121—64no—
825#121—64no—
826#120—38no—
827#120—64no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—122no—
836#117—64no—
837#117—64no—
838#117—64no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—64no—
862C2×C4⋊C4—122no—
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—64no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4—64no—
911C2×C22⋊C4—122no—
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42C22×D311yescharacteristic
925C2×C42C22×D311yescharacteristic
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3C22×D412yes—
979C23×C3C2511yescharacteristic
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—28no—
995C22×D3—28no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—44no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3C22×D412yes—
1009C22×D3C22×D412yes—
1010C22×D3C22×D412yes—
1011C22×D3C2×#4112yes—
1012C22×D3C2×#4112yes—
1013C22×D3H(5,𝔽2)12yes—
1014C22×D32−1+412yes—
1015C3×Q8—44no—
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—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—44no—
1055C2×C3×C4C22×D412yes—
1056C2×C3×C4C22×D412yes—
1057C2×C3×C4C2×#4112yes—
1058C2×C3×C4C2×#4112yes—
1059#67—44no—
1060#67—44no—
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—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—44no—
1095C2×Dic3C22×D412yes—
1096C2×Dic3C2×#4112yes—
1097C2×Dic3C2×#4112yes—
1098D12—28no—
1099D12—28no—
1100D12—44no—
1101D12—44no—
1102D12—44no—
1103C4×D3—28no—
1104C4×D3—44no—
1105C4×D3—44no—
1106C4×D3—44no—
1107C4×D3—44no—
1108C4×D3—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—82no—
1114C4×D3—82no—
1115C4×D3—82no—
1116C4×D3—82no—
1117C4×D3—82no—
1118C4×D3—82no—
1119Dic6—82no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—34no—
1124C24—31no—
1125C24—62no—
1126C24—62no—
1127C24—62no—
1128C24—62no—
1129C24—121no—
1130C24—121no—
1131C24C23×D311yescharacteristic
1132#41—1216no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—41no—
1136C2×Q8—62no—
1137C2×Q8—121no—
1138C2×Q8—121no—
1139C2×D4—34no—
1140C2×D4—34no—
1141C2×D4—34no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—62no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—34no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—41no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—1216no—
1226C22×C4—121no—
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—34no—
1279C22⋊C4—34no—
1280C22⋊C4—34no—
1281C22⋊C4—41no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4D3×D414yes—
1314C42—22no—
1315C42—22no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—121no—
1321C42—121no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3C23×D411yescharacteristic
1330C22×C3C22×#4111yescharacteristic
1331C22×C3C22×#4111yescharacteristic
1332C22×C3C2×H(5,𝔽2)11yescharacteristic
1333C22×C3C2×2−1+411yescharacteristic
1334C22×C3#58511yescharacteristic
1335C22×C3#58511yescharacteristic
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—416no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3#54614yes—
1364C2×D3#54714yes—
1365C3×C4—22no—
1366C3×C4—22no—
1367C3×C4—22no—
1368C3×C4—22no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376C3×C4—41no—
1377C3×C4—41no—
1378C3×C4—41no—
1379Dic3—22no—
1380Dic3—22no—
1381Dic3—22no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390Dic3—41no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—32no—
1398C23—32no—
1399C23—32no—
1400C23—32no—
1401C23—32no—
1402C23—32no—
1403C23—32no—
1404C23—68no—
1405C23—68no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—124no—
1428C23—124no—
1429C23—124no—
1430C23—124no—
1431C23—124no—
1432C23C2×D3×D412yes—
1433C23C24×D311yescharacteristic
1434Q8—44no—
1435Q8—242no—
1436D4—68no—
1437D4—68no—
1438D4—124no—
1439D4—124no—
1440D4—124no—
1441D4—124no—
1442D4—124no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—32no—
1482C2×C4—32no—
1483C2×C4—32no—
1484C2×C4—44no—
1485C2×C4—68no—
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—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4—124no—
1522C2×C4—124no—
1523C2×C4—124no—
1524C2×C4—124no—
1525C2×C4—124no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—242no—
1530C2×C4—242no—
1531C2×C4—242no—
1532C2×C4—242no—
1533C2×C4—242no—
1534C2×C4—242no—
1535C2×C4C2×D3×D412yes—
1536C2×C4C2×D3×D412yes—
1537C2×C4D3×#4112yes—
1538C2×C4D3×#4112yes—
1539C2×C3—42no—
1540C2×C3C2×#54611yescharacteristic
1541C2×C3C2×#54711yescharacteristic
1542C2×C3#347511yescharacteristic
1543C2×C3#348511yescharacteristic
1544C2×C3#349511yescharacteristic
1545C2×C3#351311yescharacteristic
1546C2×C3#353511yescharacteristic
1547D3—24no—
1548D3—24no—
1549D3—42no—
1550D3—81no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—34no—
1555C22—34no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—62no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—62no—
1575C22—1216no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22C22×D3×D411yescharacteristic
1588C22C2×D3×#4111yescharacteristic
1589C22C2×D3×#4111yescharacteristic
1590C22D3×H(5,𝔽2)11yescharacteristic
1591C22D3×2−1+411yescharacteristic
1592C22#596811yescharacteristic
1593C22#596811yescharacteristic
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—62no—
1609C4—62no—
1610C4—62no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C3#5901011yescharacteristic, complemented, Sylow
1621C2—42no—
1622C2—64no—
1623C2—64no—
1624C2—122no—
1625C2—241no—
1626C2#8635411yescharacteristic
1627C2#8650911yescharacteristic
1628C2#8655311yescharacteristic
1629C2D3×#54611yescharacteristic
1630C2D3×#54711yescharacteristic
1631C2#8682711yescharacteristic
1632C2#8712911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2698C2
prime radicalC2×#5627C2
hypercenter#2698D3
hypocenterC3#59010
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2698

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
3. C3×#2698C2semidirect
4. #83105C2semidirect
5. #82795C2semidirect
6. #78343C2semidirect
7. #78342C2semidirect
8. #77953C2semidirect
9. #77947C2semidirect
10. #77946C2semidirect
11. #77764C2semidirect
12. #77671C2semidirect
13. #77668C2semidirect
14. #77668C2semidirect
15. #77468C2semidirect
16. #77253C2semidirect
17. #77249C2semidirect
18. #76627C2semidirect
19. #76613C2semidirect
20. #76217C2semidirect
21. #76200C2semidirect
22. #75836C2semidirect
23. #75519C2semidirect
24. #75316C2semidirect
25. #75307C2semidirect
26. D3×#385C2semidirect
27. #74522C2semidirect
28. #74233C2semidirect
29. #74228C2semidirect
30. #74138C2semidirect
31. D3×#381C2semidirect
72. C3×#400C22semidirect
73. C3×#398C22semidirect
74. C3×#398C22semidirect
77. C3×#395C22semidirect
78. C3×#391C22semidirect
79. C3×#389C22semidirect
81. C3×#387C22semidirect
83. C3×#382C22semidirect
85. #5230C22semidirect
86. #5229C22semidirect
89. #4994C22semidirect
90. #4994C22semidirect
91. #4992C22semidirect
92. #4992C22semidirect
93. #4992C22semidirect
94. #4991C22semidirect
98. #4989C22semidirect
99. #4989C22semidirect
102. #4987C22semidirect
103. #4986C22semidirect
104. #4985C22semidirect
105. #4984C22semidirect
106. #4982C22semidirect
107. #4982C22semidirect
108. #4981C22semidirect
109. #4978C22semidirect
110. #4978C22semidirect
111. #4976C22semidirect
112. #4976C22semidirect
113. Dic3×C4⋊C4C22semidirect
114. #4972C22semidirect
115. #4972C22semidirect
129. #4940C22semidirect
131. C4×(C2×D3)⋊C4C22semidirect
132. C4×C4⋊Dic3C22semidirect
133. #4933C22semidirect
134. #4674C22semidirect
135. #4674C22semidirect
136. #4673C22semidirect
137. #4672C22semidirect
138. #4670C22semidirect
139. #4669C22semidirect
140. #4669C22semidirect
146. #4668C22semidirect
147. #4668C22semidirect
148. #4668C22semidirect
151. #4667C22semidirect
152. #4667C22semidirect
162. #4665C22semidirect
163. #4665C22semidirect
170. #4664C22semidirect
171. #4664C22semidirect
178. D3×#95C22semidirect
179. #4661C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4656C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
193. #2698D3semidirect
459. #400C2×D3semidirect
465. #398C2×D3semidirect
466. #398C2×D3semidirect
480. #395C2×D3semidirect
491. #391C2×D3semidirect
499. #389C2×D3semidirect
513. #387C2×D3semidirect
542. #382C2×D3semidirect
747. (C2×D3)⋊C4#41semidirect
1620. C3#59010semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#56272
C3×#26982
#831052
#827952
#783432
#783422
#779532
#779472
#779462
#777642
#776712
#776682
#774682
#772532
#772492
#766272
#766132
#762172
#762002
#758362
#755192
#753162
#753072
D3×#3852
#745222
#742332
#742282
#741382
D3×#3812
#590103