Finite Group Databasebeta

← #11042452

Subgroups — #11042452

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5690C211yesmaximal, characteristic, complemented
2C2×#5524C211yesmaximal, characteristic
3C3×#2611C211yesmaximal, characteristic, complemented
4#83066C211yesmaximal, characteristic, complemented
5#82258C211yesmaximal, characteristic, complemented
6#78343C211yesmaximal, characteristic, complemented
7#78237C211yesmaximal, characteristic, complemented
8#78101C211yesmaximal, characteristic, complemented
9#78064C211yesmaximal, characteristic, complemented
10#77968C211yesmaximal, characteristic, complemented
11#77951C211yesmaximal, characteristic, complemented
12#77669C211yesmaximal, characteristic, complemented
13#77567C211yesmaximal, characteristic, complemented
14#76259C211yesmaximal, characteristic, complemented
15#76257C211yesmaximal, characteristic, complemented
16#76244C211yesmaximal, characteristic, complemented
17#75999C211yesmaximal, characteristic, complemented
18#75922C211yesmaximal, characteristic, complemented
19#75668C211yesmaximal, characteristic, complemented
20#75527C211yesmaximal, characteristic, complemented
21#75526C211yesmaximal, characteristic, complemented
22#75379C211yesmaximal, characteristic, complemented
23#75370C211yesmaximal, characteristic, complemented
24#75360C211yesmaximal, characteristic, complemented
25#75297C211yesmaximal, characteristic, complemented
26#74655C211yesmaximal, characteristic, complemented
27#74600C211yesmaximal, characteristic, complemented
28D3×#385C211yesmaximal, characteristic, complemented
29#74411C211yesmaximal, characteristic, complemented
30#73417C211yesmaximal, characteristic, complemented
31#73387C211yesmaximal, characteristic, complemented
32#38359—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×#117C2211yescharacteristic
37#5690—28no—
38#5524—28no—
39C2×#897C2211yescharacteristic
40C2×#897C2211yescharacteristic
41C2×#897C2211yescharacteristic
42C2×#897C2211yescharacteristic, complemented
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic
46C2×#896C2211yescharacteristic, complemented
47C2×#896C2211yescharacteristic, complemented
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic, complemented
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic, complemented
57C2×#890C2211yescharacteristic, complemented
58C2×#888C2211yescharacteristic, complemented
59C2×#888C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic
61C2×#886C2211yescharacteristic
62C2×#885C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#875C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#400C2211yescharacteristic, complemented
76C3×#399C2211yescharacteristic
77C3×#398C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic
79C3×#389C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic
82C3×#388C2211yescharacteristic
83C3×#387C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#376C2211yescharacteristic, complemented
88#5210C2211yescharacteristic
89#5210C2211yescharacteristic
90#4994C2211yescharacteristic, complemented
91#4993C2211yescharacteristic
92#4993C2211yescharacteristic, complemented
93#4993C2211yescharacteristic, complemented
94#4992C2211yescharacteristic
95#4992C2211yescharacteristic, complemented
96#4991C2211yescharacteristic
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic, complemented
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic
108#4984C2211yescharacteristic, complemented
109#4982C2211yescharacteristic, complemented
110#4981C2211yescharacteristic, complemented
111#4981C2211yescharacteristic, complemented
112#4981C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4957C2211yescharacteristic
122#4956C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4953C2211yescharacteristic
126#4950C2211yescharacteristic
127#4947C2211yescharacteristic
128#4946C2211yescharacteristic
129#4944C2211yescharacteristic
130#4944C2211yescharacteristic
131#4942C2211yescharacteristic
132#4940C2211yescharacteristic, complemented
133#4940C2211yescharacteristic, complemented
134#4939C2211yescharacteristic
135C4×(C2×D3)⋊C4C2211yescharacteristic
136C4×(C2×D3)⋊C4C2211yescharacteristic
137#4937C2211yescharacteristic, complemented
138#4935C2211yescharacteristic, complemented
139#4933C2211yescharacteristic, complemented
140#4933C2211yescharacteristic, complemented
141#4929C2211yescharacteristic, complemented
142#4676C2211yescharacteristic, complemented
143#4675C2211yescharacteristic
144#4675C2211yescharacteristic, complemented
145#4674C2211yescharacteristic, complemented
146#4673C2211yescharacteristic
147#4673C2211yescharacteristic, complemented
148#4672C2211yescharacteristic
149#4672C2211yescharacteristic, complemented
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic
152#4670C2211yescharacteristic
153#4670C2211yescharacteristic, complemented
154#4670C2211yescharacteristic, complemented
155#4669C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic
167#4666C2211yescharacteristic, complemented
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#554—31no—
191C2×#525—31no—
192#2848—31no—
193#2694—31no—
194#2690—31no—
195#2687—31no—
196#2681—31no—
197#2680—31no—
198#2677—31no—
199#2674—31no—
200#2672—31no—
201#2638—31no—
202#2633—31no—
203#2611D311yescharacteristic, complemented
204#2599—31no—
205#2579—31no—
206#2564—31no—
207#2549—31no—
208#2472—31no—
209#2472—31no—
210#2444—31no—
211#2443—31no—
212#2440—31no—
213#2432—31no—
214#2418—31no—
215#2418—31no—
216#2406—31no—
217#2353—31no—
218#2326—31no—
219#2322—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C23×Dic3C2311yescharacteristic
226C2×#235—24no—
227C2×#235—42no—
228C2×#235—42no—
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×C4×D3—24no—
235C22×C4×D3—42no—
236C22×C4×D3—42no—
237C22×C4×D3C2311yescharacteristic
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×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#125—24no—
254C3×#117—24no—
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×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊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×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346#897—24no—
347#897—24no—
348#897—24no—
349#897—24no—
350#896—24no—
351#896—24no—
352#896—24no—
353#896—24no—
354#896—42no—
355#895—24no—
356#895—24no—
357#894—24no—
358#894—42no—
359#893—24no—
360#893—24no—
361D3×C4⋊C4—24no—
362D3×C4⋊C4—24no—
363D3×C4⋊C4—42no—
364#890—24no—
365#888—24no—
366#888—42no—
367#886—24no—
368#886—24no—
369#885—42no—
370#883—42no—
371#882—24no—
372#882—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—42no—
375#878—42no—
376#875—24no—
377C4×D12—24no—
378C4×D12—24no—
379C4×D12—24no—
380C4×D12D418yes—
381C4×Dic6—24no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C24×C4—31no—
422#554—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#125—31no—
426C2×#125C2×D311yescharacteristic, complemented
427C2×#124—31no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×Q8—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×#117C2×D311yescharacteristic
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400C2×D311yescharacteristic, complemented
464#399—31no—
465#399—31no—
466#399—31no—
467#399C2×D311yescharacteristic
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398C2×D311yescharacteristic, complemented
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397C2×D311yescharacteristic
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#393—31no—
500#393—31no—
501#393—31no—
502#391—31no—
503#391—31no—
504#390—31no—
505#390—31no—
506#389—31no—
507#389—31no—
508#389C2×D311yescharacteristic, complemented
509#389C2×D311yescharacteristic, complemented
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388C2×D311yescharacteristic
521#388C2×D311yescharacteristic
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387C2×D311yescharacteristic, complemented
529#387C2×D311yescharacteristic, complemented
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
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#385C2×D311yescharacteristic
559#385C2×D311yescharacteristic
560#384—31no—
561#383—31no—
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570#379—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574#376C2×D311yescharacteristic, complemented
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
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—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—41no—
611C2×#67—41no—
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#235—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—41no—
640C2×D12—41no—
641C2×D12—41no—
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—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—416no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3C2×D414yes—
679C2×C4×D3C2×D414yes—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
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×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—41no—
710C3×C42—22no—
711C3×C42—22no—
712C3×C42—41no—
713C3×C42C2×D414yes—
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—41no—
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)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4C2×D414yes—
750(C2×D3)⋊C4C2×D414yes—
751(C2×D3)⋊C4#4114yescomplemented
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3C2×D414yes—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25—31no—
784C2×#41—64no—
785C2×#41—122no—
786C2×#41—122no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×Q8—31no—
790C22×Q8—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—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—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—64no—
812C23×C4—122no—
813C23×C4—122no—
814C23×C4C22×D311yescharacteristic
815C4⋊Q8—64no—
816C4⋊Q8—122no—
817#125—24no—
818#125—64no—
819#124—64no—
820#124—122no—
821#123—64no—
822#123—64no—
823#123—64no—
824#123—122no—
825#123—122no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—122no—
835C22⋊Q8—122no—
836#121—64no—
837#121—64no—
838#120—64no—
839#120—64no—
840C4×Q8—64no—
841C4×D4—38no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—64no—
846C4×D4—64no—
847#117—24no—
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—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
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—64no—
876C2×C4⋊C4—64no—
877C2×C4⋊C4—122no—
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
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×C4⋊C4C22×D311yescharacteristic
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—64no—
929C2×C22⋊C4—122no—
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42C22×D311yescharacteristic
941C2×C42C22×D311yescharacteristic
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
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#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#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3H(5,𝔽2)12yes—
989C23×C3C2511yescharacteristic
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—28no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3C22×D412yes—
1021C22×D3C22×D412yes—
1022C22×D3C2×#4112yes—
1023C22×D32−1+412yes—
1024C22×D32−1+412yes—
1025C2×C3×C4—28no—
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—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C22×D412yes—
1065C2×C3×C4C22×D412yes—
1066C2×C3×C4C2×#4112yes—
1067C2×C3×C4H(5,𝔽2)12yes—
1068#67—44no—
1069#67—44no—
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—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—44no—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C22×D412yes—
1106C2×Dic3C2×#4112yes—
1107D12—28no—
1108D12—44no—
1109D12—44no—
1110D12—44no—
1111D12—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—44no—
1117C4×D3—44no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—82no—
1122C4×D3—82no—
1123C4×D3—82no—
1124Dic6—44no—
1125Dic6—44no—
1126Dic6—82no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—31no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—121no—
1138C24—121no—
1139C24C23×D311yescharacteristic
1140#41—1216no—
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—121no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×D4—34no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—34no—
1181C22×C4—34no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
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—62no—
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—121no—
1226C22×C4—121no—
1227C22×C4—1216no—
1228C22×C4—121no—
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
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—34no—
1255C4⋊C4—41no—
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—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—34no—
1288C22⋊C4—34no—
1289C22⋊C4—34no—
1290C22⋊C4—41no—
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—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C42—22no—
1327C42—22no—
1328C42—41no—
1329C42—62no—
1330C42—62no—
1331C42—121no—
1332C42—121no—
1333C42D3×D414yes—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3C23×D411yescharacteristic
1342C22×C3C22×#4111yescharacteristic
1343C22×C3C2×H(5,𝔽2)11yescharacteristic
1344C22×C3C2×H(5,𝔽2)11yescharacteristic
1345C22×C3C2×2−1+411yescharacteristic
1346C22×C3C2×2−1+411yescharacteristic
1347C22×C3#58511yescharacteristic
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—22no—
1360C2×D3—416no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3#53614yes—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—22no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390C3×C4—41no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—32no—
1410C23—32no—
1411C23—32no—
1412C23—32no—
1413C23—32no—
1414C23—68no—
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—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—124no—
1439C23—124no—
1440C23—124no—
1441C23—124no—
1442C23—124no—
1443C23—124no—
1444C23#100912yes—
1445C23C24×D311yescharacteristic
1446Q8—124no—
1447Q8—124no—
1448Q8—242no—
1449Q8—242no—
1450D4—68no—
1451D4—124no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457C2×C4—28no—
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—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—32no—
1496C2×C4—32no—
1497C2×C4—32no—
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—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—124no—
1532C2×C4—124no—
1533C2×C4—124no—
1534C2×C4—124no—
1535C2×C4—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—242no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4C2×D3×D412yes—
1545C2×C4C2×D3×D412yes—
1546C2×C4C2×D3×D412yes—
1547C2×C4D3×#4112yes—
1548C2×C4#100912yes—
1549C2×C3—42no—
1550C2×C3C2×#53611yescharacteristic
1551C2×C3D4×#4111yescharacteristic
1552C2×C3#348411yescharacteristic
1553C2×C3#349211yescharacteristic
1554C2×C3#352011yescharacteristic
1555C2×C3#353511yescharacteristic
1556C2×C3#354111yescharacteristic
1557D3—24no—
1558D3—42no—
1559D3—42no—
1560D3—81no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—34no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—62no—
1575C22—62no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—1216no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22C22×D3×D411yescharacteristic
1598C22C2×D3×#4111yescharacteristic
1599C22C2×#100911yescharacteristic
1600C22C2×#100911yescharacteristic
1601C22#596411yescharacteristic
1602C22D3×2−1+411yescharacteristic
1603C22D3×2−1+411yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—62no—
1619C4—62no—
1620C4—62no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3835911yescharacteristic, complemented, Sylow
1631C2—42no—
1632C2—64no—
1633C2—122no—
1634C2—122no—
1635C2—241no—
1636C2#8603911yescharacteristic
1637C2#8623811yescharacteristic
1638C2D3×#53611yescharacteristic
1639C2#8683911yescharacteristic
1640C2#8684411yescharacteristic
1641C2#8684511yescharacteristic
1642C2#8686011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2611C2
prime radicalC2×#5524C2
hypercenter#2611D3
hypocenterC3#38359
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2611

Complements

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

NH ≅ G/Ntype
1. C2×#5690C2semidirect
3. C3×#2611C2semidirect
4. #83066C2semidirect
5. #82258C2semidirect
6. #78343C2semidirect
7. #78237C2semidirect
8. #78101C2semidirect
9. #78064C2semidirect
10. #77968C2semidirect
11. #77951C2semidirect
12. #77669C2semidirect
13. #77567C2semidirect
14. #76259C2semidirect
15. #76257C2semidirect
16. #76244C2semidirect
17. #75999C2semidirect
18. #75922C2semidirect
19. #75668C2semidirect
20. #75527C2semidirect
21. #75526C2semidirect
22. #75379C2semidirect
23. #75370C2semidirect
24. #75360C2semidirect
25. #75297C2semidirect
26. #74655C2semidirect
27. #74600C2semidirect
28. D3×#385C2semidirect
29. #74411C2semidirect
30. #73417C2semidirect
31. #73387C2semidirect
35. C2×C3×#125C22semidirect
42. C2×#897C22semidirect
46. C2×#896C22semidirect
47. C2×#896C22semidirect
51. C2×#894C22semidirect
56. C2×D3×C4⋊C4C22semidirect
57. C2×#890C22semidirect
58. C2×#888C22semidirect
59. C2×#888C22semidirect
74. C2×C4×Dic6C22semidirect
75. C3×#400C22semidirect
77. C3×#398C22semidirect
79. C3×#389C22semidirect
80. C3×#389C22semidirect
83. C3×#387C22semidirect
84. C3×#387C22semidirect
87. C3×#376C22semidirect
90. #4994C22semidirect
92. #4993C22semidirect
93. #4993C22semidirect
95. #4992C22semidirect
99. #4991C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
108. #4984C22semidirect
109. #4982C22semidirect
110. #4981C22semidirect
111. #4981C22semidirect
112. #4981C22semidirect
113. #4979C22semidirect
114. #4979C22semidirect
115. #4978C22semidirect
116. #4978C22semidirect
132. #4940C22semidirect
133. #4940C22semidirect
137. #4937C22semidirect
138. #4935C22semidirect
139. #4933C22semidirect
140. #4933C22semidirect
141. #4929C22semidirect
142. #4676C22semidirect
144. #4675C22semidirect
145. #4674C22semidirect
147. #4673C22semidirect
149. #4672C22semidirect
153. #4670C22semidirect
154. #4670C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
167. #4666C22semidirect
175. #4665C22semidirect
176. #4664C22semidirect
177. #4664C22semidirect
180. #4661C22semidirect
181. #4660C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4654C22semidirect
187. #4654C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
203. #2611D3semidirect
426. C2×#125C2×D3semidirect
463. #400C2×D3semidirect
474. #398C2×D3semidirect
508. #389C2×D3semidirect
509. #389C2×D3semidirect
528. #387C2×D3semidirect
529. #387C2×D3semidirect
574. #376C2×D3semidirect
751. (C2×D3)⋊C4#41semidirect
1630. C3#38359semidirect

Maximal subgroups

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

subgroupindex
C2×#56902
C2×#55242
C3×#26112
#830662
#822582
#783432
#782372
#781012
#780642
#779682
#779512
#776692
#775672
#762592
#762572
#762442
#759992
#759222
#756682
#755272
#755262
#753792
#753702
#753602
#752972
#746552
#746002
D3×#3852
#744112
#734172
#733872
#383593