Finite Group Databasebeta

← #11235293

Subgroups — #11235293

Order 768.

2512 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5683C211yesmaximal, characteristic, complemented
2C2×#5524C211yesmaximal, characteristic, complemented
3C3×#2474C211yesmaximal, characteristic, complemented
4#82986C211yesmaximal, characteristic, complemented
5#82250C211yesmaximal, characteristic, complemented
6#77726C211yesmaximal, characteristic, complemented
7#77589C211yesmaximal, characteristic, complemented
8#77430C211yesmaximal, characteristic, complemented
9#77427C211yesmaximal, characteristic, complemented
10#77267C211yesmaximal, characteristic, complemented
11#77264C211yesmaximal, characteristic, complemented
12#77158C211yesmaximal, characteristic, complemented
13#77146C211yesmaximal, characteristic, complemented
14#76513C211yesmaximal, characteristic, complemented
15#76505C211yesmaximal, characteristic, complemented
16#75925C211yesmaximal, characteristic, complemented
17#75916C211yesmaximal, characteristic, complemented
18#75845C211yesmaximal, characteristic, complemented
19#75844C211yesmaximal, characteristic, complemented
20#75840C211yesmaximal, characteristic, complemented
21#75690C211yesmaximal, characteristic, complemented
22#75512C211yesmaximal, characteristic, complemented
23#75509C211yesmaximal, characteristic, complemented
24#75391C211yesmaximal, characteristic, complemented
25#75388C211yesmaximal, characteristic, complemented
26#74936C211yesmaximal, characteristic, complemented
27#74886C211yesmaximal, characteristic, complemented
28#74656C211yesmaximal, characteristic, complemented
29#74411C211yesmaximal, characteristic, complemented
30#73782C211yesmaximal, characteristic, complemented
31#73781C211yesmaximal, characteristic, complemented
32#45442—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic, complemented
35C2×C3×#124C2211yescharacteristic
36C2×C3×#117C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41#5683—28no—
42#5524—28no—
43C2×#897C2211yescharacteristic, complemented
44C2×#897C2211yescharacteristic, complemented
45C2×#896C2211yescharacteristic, complemented
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#888C2211yescharacteristic, complemented
51C2×#886C2211yescharacteristic
52C2×#886C2211yescharacteristic, complemented
53C2×#885C2211yescharacteristic
54C2×#885C2211yescharacteristic
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#882C2211yescharacteristic
60C2×#882C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic, complemented
65C2×D3×C22⋊C4C2211yescharacteristic, complemented
66C2×#875C2211yescharacteristic
67C2×#875C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic, complemented
71C2×C4×D12C2211yescharacteristic, complemented
72C3×#397C2211yescharacteristic, complemented
73C3×#396C2211yescharacteristic, complemented
74C3×#395C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#391C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic, complemented
84C3×C4×C4⋊C4C2211yescharacteristic, complemented
85#5231C2211yescharacteristic, complemented
86#5229C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5220C2211yescharacteristic
89#5213C2211yescharacteristic
90#5210C2211yescharacteristic, complemented
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4992C2211yescharacteristic, complemented
94#4992C2211yescharacteristic, complemented
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic, complemented
97#4991C2211yescharacteristic, complemented
98#4991C2211yescharacteristic, complemented
99#4991C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4988C2211yescharacteristic
106#4987C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic, complemented
127#4955C2211yescharacteristic, complemented
128#4955C2211yescharacteristic, complemented
129#4955C2211yescharacteristic, complemented
130#4955C2211yescharacteristic, complemented
131#4953C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4950C2211yescharacteristic, complemented
136#4949C2211yescharacteristic, complemented
137#4948C2211yescharacteristic, complemented
138#4947C2211yescharacteristic, complemented
139#4946C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4939C2211yescharacteristic
145#4939C2211yescharacteristic, complemented
146C4×Dic3⋊C4C2211yescharacteristic, complemented
147#4929C2211yescharacteristic, complemented
148#4929C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4674C2211yescharacteristic, complemented
156#4674C2211yescharacteristic, complemented
157#4674C2211yescharacteristic, complemented
158#4673C2211yescharacteristic, complemented
159#4673C2211yescharacteristic, complemented
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4671C2211yescharacteristic
165#4671C2211yescharacteristic
166#4670C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×H(3,𝔽4)—31no—
191C2×#525—31no—
192#2849—31no—
193#2849—31no—
194#2812—31no—
195#2812—31no—
196#2717—31no—
197#2710—31no—
198#2710—31no—
199#2700—31no—
200#2700—31no—
201#2697—31no—
202#2686—31no—
203#2686—31no—
204#2678—31no—
205#2678—31no—
206#2674—31no—
207#2674—31no—
208#2474—31no—
209#2474D311yescharacteristic, complemented
210#2461—31no—
211#2461—31no—
212#2459—31no—
213#2459—31no—
214#2447—31no—
215#2447—31no—
216#2432—31no—
217#2418—31no—
218#2418—31no—
219#2404—31no—
220#2375—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C2×#235—24no—
234C2×#235—42no—
235C2×#235—42no—
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3—24no—
245C22×C4×D3—42no—
246C22×C4×D3—42no—
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×#124—24no—
258C3×#117—24no—
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×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288#947—24no—
289#947—24no—
290#937—24no—
291#937—24no—
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#897—24no—
355#897—24no—
356#896—42no—
357#895—24no—
358#895—24no—
359#894—42no—
360#894—42no—
361#888—42no—
362#886—24no—
363#886—24no—
364#885—24no—
365#885—24no—
366#885—24no—
367#885—24no—
368#883—42no—
369#883—42no—
370#882—24no—
371#882—24no—
372#882—24no—
373#882—24no—
374#882—42no—
375#882D418yescomplemented
376D3×C22⋊C4—42no—
377#875—24no—
378#875—24no—
379C4×D12—24no—
380C4×D12—24no—
381C4×D12—24no—
382C4×D12—24no—
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—
419H(3,𝔽4)—68no—
420C2×C4⋊Q8—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124C2×D311yescharacteristic
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#120—31no—
443C2×#120—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117C2×D311yescharacteristic, complemented
455C22×C22⋊C4—31no—
456#399—31no—
457#399—31no—
458#397—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397C2×D311yescharacteristic, complemented
470#396—31no—
471#396—31no—
472#396—31no—
473#396C2×D311yescharacteristic, complemented
474#395—31no—
475#395—31no—
476#395—31no—
477#395C2×D311yescharacteristic, complemented
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394C2×D311yescharacteristic
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#391—31no—
508#391C2×D311yescharacteristic, complemented
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388C2×D311yescharacteristic, complemented
529#388C2×D311yescharacteristic, complemented
530#388C2×D311yescharacteristic, complemented
531#388C2×D311yescharacteristic, complemented
532#387—31no—
533#387—31no—
534#387—31no—
535#387C2×D311yescharacteristic, complemented
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386C2×D311yescharacteristic
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic, complemented
560#381—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4C2×D311yescharacteristic, complemented
573C4×C22⋊C4—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2×D414yes—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C23×D3C2411yescharacteristic
595C2×C3×Q8—22no—
596C2×C3×Q8—41no—
597C2×C3×Q8—41no—
598C2×C3×D4—22no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67C2×D414yes—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649#235—416no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12C2×D414yes—
673C2×D12C2×D414yes—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—416no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—41no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—41no—
710C3×C4⋊C4—41no—
711C3×C4⋊C4—41no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4C2×D414yes—
723C3×C42—22no—
724C3×C42—22no—
725C3×C42—22no—
726C3×C42—41no—
727#217—22no—
728#217—22no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4C2×D414yes—
775(C2×D3)⋊C4C2×D414yes—
776C4⋊Dic3—22no—
777C4⋊Dic3—22no—
778C4⋊Dic3—22no—
779C4⋊Dic3—22no—
780C4⋊Dic3—41no—
781C4⋊Dic3—41no—
782C4⋊Dic3—41no—
783C4⋊Dic3—41no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—41no—
795C4×Dic3—41no—
796C25—31no—
797C25—31no—
798C2×#41—64no—
799C2×#41—122no—
800C2×#41—122no—
801C22×Q8—31no—
802C22×Q8—31no—
803C22×Q8—31no—
804C22×Q8C22×D311yescharacteristic
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4C22×D311yescharacteristic
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—64no—
829C23×C4—122no—
830C23×C4—122no—
831C23×C4C22×D311yescharacteristic
832C4⋊Q8—122no—
833#124—24no—
834#124—64no—
835#124—64no—
836#124—64no—
837#124—64no—
838#124—64no—
839#124—64no—
840#124—64no—
841#124—64no—
842#123—64no—
843#123—64no—
844#123—122no—
845#123—122no—
846#123—122no—
847#123—122no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—122no—
851#121—64no—
852#121—64no—
853#120—38no—
854#120—64no—
855#120—64no—
856#120—64no—
857#120—64no—
858#120—64no—
859#120—64no—
860#120—122no—
861C4×D4—64no—
862C4×D4—64no—
863C4×D4—64no—
864C4×D4—64no—
865#117—24no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
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—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—122no—
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42C22×D311yescharacteristic
955C2×C42C22×D311yescharacteristic
956C2×C42C22×D311yescharacteristic
957C2×C42C22×D311yescharacteristic
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3C22×D412yes—
1006C23×C3C2511yescharacteristic
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3—44no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—82no—
1048C22×D3—82no—
1049C22×D3—82no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3C22×D412yes—
1054C22×D3C22×D412yes—
1055C22×D3C22×D412yes—
1056C3×Q8—82no—
1057C3×D4—82no—
1058C2×C3×C4—28no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4H(5,𝔽2)12yes—
1097C2×C3×C4H(5,𝔽2)12yes—
1098#67—44no—
1099#67—44no—
1100#67—82no—
1101#67—82no—
1102#67—82no—
1103#67—82no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—44no—
1137C2×Dic3C22×D412yes—
1138D12—44no—
1139D12—44no—
1140D12—44no—
1141D12—44no—
1142D12—44no—
1143D12—82no—
1144D12—82no—
1145D12—82no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—44no—
1151C4×D3—44no—
1152C4×D3—82no—
1153Dic6—44no—
1154Dic6—82no—
1155Dic6—82no—
1156C24—31no—
1157C24—31no—
1158C24—31no—
1159C24—34no—
1160C24—31no—
1161C24—31no—
1162C24—62no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24—121no—
1170C24—121no—
1171C24—121no—
1172C24—121no—
1173C24—121no—
1174C24—121no—
1175C24C23×D311yescharacteristic
1176C24C23×D311yescharacteristic
1177#41—1216no—
1178C2×Q8—22no—
1179C2×Q8—41no—
1180C2×Q8—41no—
1181C2×Q8—62no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×Q8—121no—
1188C2×Q8—121no—
1189C2×Q8—121no—
1190C2×D4—22no—
1191C2×D4—34no—
1192C2×D4—34no—
1193C2×D4—34no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
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—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—
1271C22×C4—1216no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—34no—
1317C22⋊C4—34no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4D3×D414yes—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—41no—
1374C42—62no—
1375C42—62no—
1376C42—121no—
1377C42—121no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3C23×D411yescharacteristic
1393C22×C3C2×H(5,𝔽2)11yescharacteristic
1394C22×C3C2×H(5,𝔽2)11yescharacteristic
1395C22×C3#58511yescharacteristic
1396C22×C3#58511yescharacteristic
1397C22×C3#58511yescharacteristic
1398C22×C3#58511yescharacteristic
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—416no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—88no—
1436C3×C4—22no—
1437C3×C4—22no—
1438C3×C4—22no—
1439C3×C4—22no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449Dic3—22no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—32no—
1474C23—32no—
1475C23—32no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—124no—
1509C23—124no—
1510C23—124no—
1511C23—124no—
1512C23—124no—
1513C23—124no—
1514C23—124no—
1515C23—124no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23—242no—
1520C23—242no—
1521C23—242no—
1522C23C2×D3×D412yes—
1523C23C24×D311yescharacteristic
1524Q8—82no—
1525Q8—124no—
1526Q8—242no—
1527Q8—242no—
1528D4—82no—
1529D4—124no—
1530D4—124no—
1531D4—124no—
1532D4—124no—
1533D4—124no—
1534D4—124no—
1535D4—124no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539D4—242no—
1540D4—242no—
1541D4—242no—
1542D4—242no—
1543C2×C4—28no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—32no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—124no—
1617C2×C4—124no—
1618C2×C4—124no—
1619C2×C4—242no—
1620C2×C4C2×D3×D412yes—
1621C2×C4C2×D3×D412yes—
1622C2×C4#100912yes—
1623C2×C4#100912yes—
1624C2×C3—42no—
1625C2×C3—81no—
1626C2×C3#348411yescharacteristic
1627C2×C3#348511yescharacteristic
1628C2×C3#348511yescharacteristic
1629C2×C3#352911yescharacteristic
1630C2×C3#354011yescharacteristic
1631C2×C3#354011yescharacteristic
1632C2×C3#354011yescharacteristic
1633D3—42no—
1634D3—42no—
1635D3—42no—
1636D3—81no—
1637D3—81no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—62no—
1653C22—62no—
1654C22—62no—
1655C22—62no—
1656C22—62no—
1657C22—62no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—1216no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—248no—
1689C22C22×D3×D411yescharacteristic
1690C22C2×#100911yescharacteristic
1691C22C2×#100911yescharacteristic
1692C22#596411yescharacteristic
1693C22#596411yescharacteristic
1694C22#596611yescharacteristic
1695C22#596811yescharacteristic
1696C4—22no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—62no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C4—121no—
1719C4—121no—
1720C3#4544211yescharacteristic, complemented, Sylow
1721C2—42no—
1722C2—81no—
1723C2—122no—
1724C2—122no—
1725C2—122no—
1726C2—241no—
1727C2—241no—
1728C2#8603911yescharacteristic
1729C2#8617111yescharacteristic
1730C2#8652911yescharacteristic
1731C2#8666311yescharacteristic
1732C2#8670011yescharacteristic
1733C2#8697411yescharacteristic
1734C2#8700811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2474C2
hypercenter#2474D3
hypocenterC3#45442
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2474

Complements

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

NH ≅ G/Ntype
1. C2×#5683C2semidirect
2. C2×#5524C2semidirect
3. C3×#2474C2semidirect
4. #82986C2semidirect
5. #82250C2semidirect
6. #77726C2semidirect
7. #77589C2semidirect
8. #77430C2semidirect
9. #77427C2semidirect
10. #77267C2semidirect
11. #77264C2semidirect
12. #77158C2semidirect
13. #77146C2semidirect
14. #76513C2semidirect
15. #76505C2semidirect
16. #75925C2semidirect
17. #75916C2semidirect
18. #75845C2semidirect
19. #75844C2semidirect
20. #75840C2semidirect
21. #75690C2semidirect
22. #75512C2semidirect
23. #75509C2semidirect
24. #75391C2semidirect
25. #75388C2semidirect
26. #74936C2semidirect
27. #74886C2semidirect
28. #74656C2semidirect
29. #74411C2semidirect
30. #73782C2semidirect
31. #73781C2semidirect
34. C23×C4×D3C22semidirect
36. C2×C3×#117C22semidirect
43. C2×#897C22semidirect
44. C2×#897C22semidirect
45. C2×#896C22semidirect
50. C2×#888C22semidirect
52. C2×#886C22semidirect
63. C2×#882C22semidirect
64. C2×#882C22semidirect
65. C2×D3×C22⋊C4C22semidirect
70. C2×C4×D12C22semidirect
71. C2×C4×D12C22semidirect
72. C3×#397C22semidirect
73. C3×#396C22semidirect
74. C3×#395C22semidirect
76. C3×#391C22semidirect
77. C3×#388C22semidirect
78. C3×#388C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#387C22semidirect
83. C3×#385C22semidirect
84. C3×C4×C4⋊C4C22semidirect
85. #5231C22semidirect
86. #5229C22semidirect
90. #5210C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
93. #4992C22semidirect
94. #4992C22semidirect
96. #4991C22semidirect
97. #4991C22semidirect
98. #4991C22semidirect
99. #4991C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
106. #4987C22semidirect
107. #4984C22semidirect
108. #4980C22semidirect
109. #4979C22semidirect
110. #4978C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
119. #4959C22semidirect
122. #4957C22semidirect
126. #4956C22semidirect
127. #4955C22semidirect
128. #4955C22semidirect
129. #4955C22semidirect
130. #4955C22semidirect
131. #4953C22semidirect
132. #4952C22semidirect
133. #4951C22semidirect
134. #4951C22semidirect
135. #4950C22semidirect
136. #4949C22semidirect
137. #4948C22semidirect
138. #4947C22semidirect
139. #4946C22semidirect
140. #4940C22semidirect
141. #4940C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
145. #4939C22semidirect
146. C4×Dic3⋊C4C22semidirect
147. #4929C22semidirect
148. #4929C22semidirect
149. #4928C22semidirect
150. #4677C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4674C22semidirect
156. #4674C22semidirect
157. #4674C22semidirect
158. #4673C22semidirect
159. #4673C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4672C22semidirect
166. #4670C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4667C22semidirect
174. #4666C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4664C22semidirect
182. #4664C22semidirect
183. #4664C22semidirect
184. #4664C22semidirect
185. #4664C22semidirect
186. #4656C22semidirect
187. #4656C22semidirect
188. #4655C22semidirect
189. #4646C22semidirect
209. #2474D3semidirect
375. #882D4semidirect
454. C2×#117C2×D3semidirect
469. #397C2×D3semidirect
473. #396C2×D3semidirect
477. #395C2×D3semidirect
508. #391C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×D3semidirect
530. #388C2×D3semidirect
531. #388C2×D3semidirect
535. #387C2×D3semidirect
559. #385C2×D3semidirect
572. C4×C4⋊C4C2×D3semidirect
1720. C3#45442semidirect

Maximal subgroups

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

subgroupindex
C2×#56832
C2×#55242
C3×#24742
#829862
#822502
#777262
#775892
#774302
#774272
#772672
#772642
#771582
#771462
#765132
#765052
#759252
#759162
#758452
#758442
#758402
#756902
#755122
#755092
#753912
#753882
#749362
#748862
#746562
#744112
#737822
#737812
#454423