Finite Group Databasebeta

← #11633791

Subgroups — #11633791

Order 768.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5630C211yesmaximal, characteristic
2C2×#5580C211yesmaximal, characteristic, complemented
3C3×#2465C211yesmaximal, characteristic, complemented
4#82796C211yesmaximal, characteristic, complemented
5#82497C211yesmaximal, characteristic, complemented
6#77421C211yesmaximal, characteristic, complemented
7#77303C211yesmaximal, characteristic, complemented
8#77264C211yesmaximal, characteristic, complemented
9#77254C211yesmaximal, characteristic, complemented
10#77249C211yesmaximal, characteristic, complemented
11#77184C211yesmaximal, characteristic, complemented
12#76876C211yesmaximal, characteristic, complemented
13#76868C211yesmaximal, characteristic, complemented
14#76613C211yesmaximal, characteristic, complemented
15#76515C211yesmaximal, characteristic, complemented
16#76231C211yesmaximal, characteristic, complemented
17#76070C211yesmaximal, characteristic, complemented
18#75844C211yesmaximal, characteristic, complemented
19#75844C211yesmaximal, characteristic, complemented
20#75832C211yesmaximal, characteristic, complemented
21D3×#388C211yesmaximal, characteristic, complemented
22#75320C211yesmaximal, characteristic, complemented
23#75316C211yesmaximal, characteristic, complemented
24#75309C211yesmaximal, characteristic, complemented
25#75151C211yesmaximal, characteristic, complemented
26#75014C211yesmaximal, characteristic, complemented
27#74940C211yesmaximal, characteristic, complemented
28#74599C211yesmaximal, characteristic, complemented
29#74437C211yesmaximal, characteristic, complemented
30#73578C211yesmaximal, characteristic, complemented
31C22⋊C4×D12C211yesmaximal, characteristic, complemented
32#59032—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C4×Q8C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic, complemented
40C2×C4×#67C2211yescharacteristic
41#5630—28no—
42#5580—28no—
43C2×#898C2211yescharacteristic, complemented
44C2×#898C2211yescharacteristic, complemented
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic, complemented
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic, complemented
55C2×D3×C4⋊C4C2211yescharacteristic, complemented
56C2×#890C2211yescharacteristic, complemented
57C2×#883C2211yescharacteristic
58C2×#882C2211yescharacteristic
59C2×#882C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×C4×D12C2211yescharacteristic
66C2×C4×D12C2211yescharacteristic
67C2×C4×D12C2211yescharacteristic, complemented
68C2×C4×D12C2211yescharacteristic, complemented
69C2×#872C2211yescharacteristic, complemented
70C2×#872C2211yescharacteristic, complemented
71C2×C42×D3C2211yescharacteristic, complemented
72C3×#396C2211yescharacteristic
73C3×#395C2211yescharacteristic, complemented
74C3×#395C2211yescharacteristic, complemented
75C3×#393C2211yescharacteristic
76C3×#391C2211yescharacteristic, complemented
77C3×#389C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#387C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic
85#5231C2211yescharacteristic, complemented
86#5231C2211yescharacteristic, complemented
87#5230C2211yescharacteristic, complemented
88#5229C2211yescharacteristic, complemented
89#5212C2211yescharacteristic
90#5210C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4992C2211yescharacteristic, complemented
93#4991C2211yescharacteristic
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic, complemented
96#4991C2211yescharacteristic, complemented
97#4991C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4990C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4987C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4987C2211yescharacteristic, complemented
109#4987C2211yescharacteristic, complemented
110#4986C2211yescharacteristic, complemented
111#4986C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116Dic3×C4⋊C4C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4956C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4953C2211yescharacteristic
126#4953C2211yescharacteristic
127#4951C2211yescharacteristic
128#4945C2211yescharacteristic
129#4945C2211yescharacteristic
130#4944C2211yescharacteristic
131#4944C2211yescharacteristic
132#4944C2211yescharacteristic
133#4940C2211yescharacteristic, complemented
134#4940C2211yescharacteristic, complemented
135#4940C2211yescharacteristic, complemented
136#4939C2211yescharacteristic
137#4939C2211yescharacteristic
138C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
139C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
140#4933C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4677C2211yescharacteristic, complemented
143#4677C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4674C2211yescharacteristic, complemented
147#4674C2211yescharacteristic, complemented
148#4672C2211yescharacteristic
149#4672C2211yescharacteristic
150#4672C2211yescharacteristic, complemented
151#4670C2211yescharacteristic, complemented
152#4670C2211yescharacteristic, complemented
153#4670C2211yescharacteristic, complemented
154#4669C2211yescharacteristic, complemented
155#4669C2211yescharacteristic, complemented
156#4669C2211yescharacteristic, complemented
157#4668C2211yescharacteristic, complemented
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4668C2211yescharacteristic, complemented
161#4666C2211yescharacteristic, complemented
162#4666C2211yescharacteristic, complemented
163#4666C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183D3×#95C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4649C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#529—31no—
192#2694—31no—
193#2690—31no—
194#2686—31no—
195#2684—31no—
196#2564—31no—
197#2561—31no—
198#2559—31no—
199#2534—31no—
200#2521—31no—
201#2486—31no—
202#2480—31no—
203#2476—31no—
204#2474—31no—
205#2468—31no—
206#2465D311yescharacteristic, complemented
207#2458—31no—
208#2444—31no—
209#2419—31no—
210#2418—31no—
211#2418—31no—
212#2406—31no—
213#2405—31no—
214#2364—31no—
215#2359—31no—
216#2342—31no—
217#2339—31no—
218D4×C22⋊C4—31no—
219C4×#123—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C2×#239—24no—
228C2×#239—24no—
229C2×#239—42no—
230C22×D12—24no—
231C22×D12—24no—
232C22×D12—42no—
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
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
254C3×C22⋊Q8—24no—
255C3×C4×Q8—24no—
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×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281#947—24no—
282#947—24no—
283#946—24no—
284C4×#67—24no—
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(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×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#898—24no—
351#898—24no—
352#895—24no—
353#895—24no—
354#895D418yes—
355#894—24no—
356#894—24no—
357#894—24no—
358#894—24no—
359#894—24no—
360#893—24no—
361#893—42no—
362D3×C4⋊C4—42no—
363#890—24no—
364#883—24no—
365#882—24no—
366#882—24no—
367D3×C22⋊C4—24no—
368D3×C22⋊C4—24no—
369D3×C22⋊C4—24no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—42no—
372C4×D12—24no—
373C4×D12—24no—
374C4×D12—24no—
375C4×D12—42no—
376#872—24no—
377#872—24no—
378C42×D3—24no—
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—
418C23×D4—31no—
419#546—68no—
420#529—68no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#125—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8C2×D311yescharacteristic
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×C4×Q8C2×D311yescharacteristic, complemented
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—
449C22×C4⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396C2×D311yescharacteristic
472#395—31no—
473#395C2×D311yescharacteristic, complemented
474#395C2×D311yescharacteristic, complemented
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#393—31no—
486#393—31no—
487#393C2×D311yescharacteristic
488#391—31no—
489#391C2×D311yescharacteristic, complemented
490#390—31no—
491#390—31no—
492#389—31no—
493#389C2×D311yescharacteristic, complemented
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388C2×D311yescharacteristic
513#388C2×D311yescharacteristic
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387C2×D311yescharacteristic, complemented
520#387C2×D311yescharacteristic, complemented
521#387C2×D311yescharacteristic, complemented
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385C2×D311yescharacteristic
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#379—31no—
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic
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—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×Q8—22no—
595C2×C3×Q8—22no—
596C2×C3×Q8—22no—
597C2×C3×Q8—41no—
598C2×C3×Q8—41no—
599C2×C3×Q8—41no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—41no—
603C22×C3×C4C2411yescharacteristic
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—41no—
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631#239—416no—
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—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—416no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12C2×D414yes—
654C2×D12C2×D414yes—
655C2×D12C2×D414yes—
656C2×D12#4114yes—
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—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
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—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3C2×D414yes—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4C2×D414yes—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4#4114yescomplemented
712C3×C42—22no—
713C3×C42—22no—
714C3×C42—22no—
715C3×C42—41no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—41no—
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—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—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
761(C2×D3)⋊C4C2×D414yes—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—22no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C25—31no—
788C2×#41—64no—
789C2×#41—64no—
790C2×#41—122no—
791C22×Q8C22×D311yescharacteristic
792C22×Q8C22×D311yescharacteristic
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—64no—
803C22×D4—64no—
804C22×D4—122no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4C22×D311yescharacteristic
819#126—64no—
820#126—64no—
821#125—64no—
822#124—64no—
823#124—64no—
824#123—64no—
825#123—64no—
826#123—64no—
827#123—64no—
828#123—64no—
829#123—64no—
830C22⋊Q8—24no—
831C22⋊Q8—64no—
832#121—38no—
833#121—64no—
834#121—64no—
835#120—64no—
836#120—64no—
837C4×Q8—24no—
838C4×D4—64no—
839C4×D4—64no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—122no—
844C4×D4—122no—
845#117—64no—
846#117—64no—
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—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—122no—
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×C4⋊C4C22×D311yescharacteristic
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—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—64no—
922C2×C22⋊C4—64no—
923C2×C22⋊C4—64no—
924C2×C22⋊C4—64no—
925C2×C22⋊C4—122no—
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—64no—
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×C3C2×#4112yes—
989C23×C3C2511yescharacteristic
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
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—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—44no—
1020C22×D3—44no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—82no—
1027C22×D3—82no—
1028C22×D3—82no—
1029C22×D3—82no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3C22×D412yes—
1034C22×D3C22×D412yes—
1035C22×D3C22×D412yes—
1036C22×D3C2×#4112yes—
1037C22×D3C2×#4112yes—
1038C22×D3H(5,𝔽2)12yes—
1039C3×Q8—44no—
1040C3×Q8—44no—
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×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—44no—
1078C2×C3×C4C22×D412yes—
1079C2×C3×C4C22×D412yes—
1080C2×C3×C4C22×D412yes—
1081C2×C3×C4C2×#4112yes—
1082C2×C3×C4C2×#4112yes—
1083C2×C3×C4C2×#4112yes—
1084#67—44no—
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—21no—
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×Dic3C22×D412yes—
1118D12—28no—
1119D12—28no—
1120D12—28no—
1121D12—44no—
1122D12—44no—
1123D12—44no—
1124D12—44no—
1125D12—82no—
1126C4×D3—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—44no—
1132C4×D3—44no—
1133C4×D3—44no—
1134C4×D3—44no—
1135C4×D3—82no—
1136C4×D3—82no—
1137C4×D3—82no—
1138C4×D3—82no—
1139C24—31no—
1140C24—31no—
1141C24—31no—
1142C24—31no—
1143C24—31no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—62no—
1148C24—62no—
1149C24—62no—
1150C24—62no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24—121no—
1156C24—121no—
1157C24—121no—
1158C24C23×D311yescharacteristic
1159#41—1216no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—41no—
1164C2×Q8—41no—
1165C2×Q8—41no—
1166C2×D4—34no—
1167C2×D4—34no—
1168C2×D4—34no—
1169C2×D4—34no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—1216no—
1193C2×D4—121no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—31no—
1197C22×C4—34no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—41no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4D3×D414yes—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—34no—
1291C22⋊C4—34no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
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—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4#23914yescomplemented
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—41no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—62no—
1348C42—121no—
1349C42—121no—
1350C42—121no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3C23×D411yescharacteristic
1359C22×C3C22×#4111yescharacteristic
1360C22×C3C22×#4111yescharacteristic
1361C22×C3C2×H(5,𝔽2)11yescharacteristic
1362C22×C3#58511yescharacteristic
1363C22×C3#58511yescharacteristic
1364C22×C3#58511yescharacteristic
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—88no—
1400C2×D3—88no—
1401C2×D3#54614yes—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—22no—
1405C3×C4—22no—
1406C3×C4—22no—
1407C3×C4—22no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412C3×C4—41no—
1413C3×C4—41no—
1414C3×C4—41no—
1415C3×C4—41no—
1416Dic3—22no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3—41no—
1425Dic3—41no—
1426Dic3—41no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—32no—
1434C23—32no—
1435C23—32no—
1436C23—32no—
1437C23—32no—
1438C23—32no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—124no—
1469C23—124no—
1470C23—124no—
1471C23—124no—
1472C23—124no—
1473C23—124no—
1474C23—124no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23—242no—
1479C23—242no—
1480C23—242no—
1481C23—242no—
1482C23C2×#23912yes—
1483C23C24×D311yescharacteristic
1484Q8—44no—
1485Q8—44no—
1486D4—68no—
1487D4—68no—
1488D4—68no—
1489D4—124no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—242no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—32no—
1532C2×C4—44no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—124no—
1570C2×C4—124no—
1571C2×C4—124no—
1572C2×C4—124no—
1573C2×C4—124no—
1574C2×C4—242no—
1575C2×C4—242no—
1576C2×C4—242no—
1577C2×C4—242no—
1578C2×C4C2×D3×D412yes—
1579C2×C4C2×D3×D412yes—
1580C2×C4C2×D3×D412yes—
1581C2×C4C2×#23912yes—
1582C2×C4C2×#23912yes—
1583C2×C4D3×#4112yes—
1584C2×C3—42no—
1585C2×C3C2×#54611yescharacteristic
1586C2×C3D4×#4111yescharacteristic
1587C2×C3#347511yescharacteristic
1588C2×C3#348511yescharacteristic
1589C2×C3#351311yescharacteristic
1590C2×C3#352111yescharacteristic
1591C2×C3#354511yescharacteristic
1592D3—24no—
1593D3—42no—
1594D3—42no—
1595D3—42no—
1596D3—81no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—34no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—62no—
1606C22—62no—
1607C22—62no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—248no—
1640C22—248no—
1641C22C22×D3×D411yescharacteristic
1642C22C22×#23911yescharacteristic
1643C22C2×D3×#4111yescharacteristic
1644C22#596411yescharacteristic
1645C22#596411yescharacteristic
1646C22D3×H(5,𝔽2)11yescharacteristic
1647C22#596811yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—62no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C3#5903211yescharacteristic, complemented, Sylow
1674C2—42no—
1675C2—64no—
1676C2—122no—
1677C2—122no—
1678C2—122no—
1679C2—241no—
1680C2#8604011yescharacteristic
1681C2#8627611yescharacteristic
1682C2#8656511yescharacteristic
1683C2D3×#54611yescharacteristic
1684C2D4×#23911yescharacteristic
1685C2#8692911yescharacteristic
1686C2#8699111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2465C2
prime radicalC2×#5630C2
hypercenter#2465D3
hypocenterC3#59032
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2465

Complements

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

NH ≅ G/Ntype
2. C2×#5580C2semidirect
3. C3×#2465C2semidirect
4. #82796C2semidirect
5. #82497C2semidirect
6. #77421C2semidirect
7. #77303C2semidirect
8. #77264C2semidirect
9. #77254C2semidirect
10. #77249C2semidirect
11. #77184C2semidirect
12. #76876C2semidirect
13. #76868C2semidirect
14. #76613C2semidirect
15. #76515C2semidirect
16. #76231C2semidirect
17. #76070C2semidirect
18. #75844C2semidirect
19. #75844C2semidirect
20. #75832C2semidirect
21. D3×#388C2semidirect
22. #75320C2semidirect
23. #75316C2semidirect
24. #75309C2semidirect
25. #75151C2semidirect
26. #75014C2semidirect
27. #74940C2semidirect
28. #74599C2semidirect
29. #74437C2semidirect
30. #73578C2semidirect
31. C22⋊C4×D12C2semidirect
36. C2×C3×C4×Q8C22semidirect
38. C2×#947C22semidirect
39. C2×#946C22semidirect
43. C2×#898C22semidirect
44. C2×#898C22semidirect
52. C2×#894C22semidirect
54. C2×#893C22semidirect
55. C2×D3×C4⋊C4C22semidirect
56. C2×#890C22semidirect
67. C2×C4×D12C22semidirect
68. C2×C4×D12C22semidirect
69. C2×#872C22semidirect
70. C2×#872C22semidirect
71. C2×C42×D3C22semidirect
73. C3×#395C22semidirect
74. C3×#395C22semidirect
76. C3×#391C22semidirect
77. C3×#389C22semidirect
80. C3×#387C22semidirect
81. C3×#387C22semidirect
82. C3×#387C22semidirect
85. #5231C22semidirect
86. #5231C22semidirect
87. #5230C22semidirect
88. #5229C22semidirect
91. #4994C22semidirect
92. #4992C22semidirect
95. #4991C22semidirect
96. #4991C22semidirect
97. #4991C22semidirect
98. #4990C22semidirect
99. #4990C22semidirect
100. #4990C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
105. #4987C22semidirect
106. #4987C22semidirect
107. #4987C22semidirect
108. #4987C22semidirect
109. #4987C22semidirect
110. #4986C22semidirect
111. #4986C22semidirect
112. #4982C22semidirect
113. #4982C22semidirect
114. #4980C22semidirect
115. #4978C22semidirect
116. Dic3×C4⋊C4C22semidirect
133. #4940C22semidirect
134. #4940C22semidirect
135. #4940C22semidirect
138. C4×(C2×D3)⋊C4C22semidirect
139. C4×(C2×D3)⋊C4C22semidirect
140. #4933C22semidirect
141. #4928C22semidirect
142. #4677C22semidirect
143. #4677C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
146. #4674C22semidirect
147. #4674C22semidirect
150. #4672C22semidirect
151. #4670C22semidirect
152. #4670C22semidirect
153. #4670C22semidirect
154. #4669C22semidirect
155. #4669C22semidirect
156. #4669C22semidirect
157. #4668C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
160. #4668C22semidirect
161. #4666C22semidirect
162. #4666C22semidirect
163. #4666C22semidirect
164. #4666C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. #4664C22semidirect
181. #4664C22semidirect
182. #4664C22semidirect
183. D3×#95C22semidirect
184. D3×#95C22semidirect
185. D3×#95C22semidirect
186. #4661C22semidirect
187. #4654C22semidirect
188. #4654C22semidirect
189. #4649C22semidirect
206. #2465D3semidirect
439. C2×C4×Q8C2×D3semidirect
473. #395C2×D3semidirect
474. #395C2×D3semidirect
489. #391C2×D3semidirect
493. #389C2×D3semidirect
519. #387C2×D3semidirect
520. #387C2×D3semidirect
521. #387C2×D3semidirect
711. C3×C22⋊C4#41semidirect
1339. C22⋊C4#239semidirect
1673. C3#59032semidirect

Maximal subgroups

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

subgroupindex
C2×#56302
C2×#55802
C3×#24652
#827962
#824972
#774212
#773032
#772642
#772542
#772492
#771842
#768762
#768682
#766132
#765152
#762312
#760702
#758442
#758322
D3×#3882
#753202
#753162
#753092
#751512
#750142
#749402
#745992
#744372
#735782
C22⋊C4×D122
#590323