Finite Group Databasebeta

← #11025301

Subgroups — #11025301

Order 768.

2774 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C211yesmaximal, characteristic, complemented
2C2×#5663C211yesmaximal, characteristic, complemented
3C3×#2335C211yesmaximal, characteristic, complemented
4#76386C211yesmaximal, characteristic, complemented
5#76314C211yesmaximal, characteristic, complemented
6#76211C211yesmaximal, characteristic, complemented
7#76114C211yesmaximal, characteristic, complemented
8#75927C211yesmaximal, characteristic, complemented
9#75851C211yesmaximal, characteristic, complemented
10#75846C211yesmaximal, characteristic, complemented
11#75846C211yesmaximal, characteristic, complemented
12#75846C211yesmaximal, characteristic, complemented
13#75844C211yesmaximal, characteristic, complemented
14#75687C211yesmaximal, characteristic, complemented
15#75687C211yesmaximal, characteristic, complemented
16#75387C211yesmaximal, characteristic, complemented
17#75332C211yesmaximal, characteristic, complemented
18#75319C211yesmaximal, characteristic, complemented
19#75009C211yesmaximal, characteristic, complemented
20#74888C211yesmaximal, characteristic, complemented
21#74820C211yesmaximal, characteristic, complemented
22#74628C211yesmaximal, characteristic, complemented
23#74406C211yesmaximal, characteristic, complemented
24#74048C211yesmaximal, characteristic, complemented
25#74034C211yesmaximal, characteristic, complemented
26#73780C211yesmaximal, characteristic, complemented
27#73771C211yesmaximal, characteristic, complemented
28#73611C211yesmaximal, characteristic, complemented
29#73591C211yesmaximal, characteristic, complemented
30#73577C211yesmaximal, characteristic, complemented
31C4×#882C211yesmaximal, characteristic, complemented
32#37714—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×#940C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#935C2211yescharacteristic
39C2×#930C2211yescharacteristic
40C2×#930C2211yescharacteristic, complemented
41C2×#929C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic, complemented
43C22×(C2×D3)⋊C4C2211yescharacteristic
44#5663—28no—
45D3×#123—28no—
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic, complemented
54C2×#892C2211yescharacteristic, complemented
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×#889C2211yescharacteristic, complemented
58C2×#886C2211yescharacteristic
59C2×#886C2211yescharacteristic, complemented
60C2×#884C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×#874C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C2×C4×D12C2211yescharacteristic
79C2×C4×D12C2211yescharacteristic
80C2×C4×D12C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic
82C3×#389C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#387C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic
90C3×#385C2211yescharacteristic, complemented
91C3×#380C2211yescharacteristic, complemented
92C3×C4×C4⋊C4C2211yescharacteristic, complemented
93C3×C4×C22⋊C4C2211yescharacteristic, complemented
94C3×C4×C22⋊C4C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4988C2211yescharacteristic
106#4987C2211yescharacteristic
107#4987C2211yescharacteristic
108#4987C2211yescharacteristic, complemented
109#4987C2211yescharacteristic, complemented
110#4987C2211yescharacteristic, complemented
111#4981C2211yescharacteristic, complemented
112#4981C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic, complemented
128#4958C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4955C2211yescharacteristic
131#4953C2211yescharacteristic, complemented
132#4950C2211yescharacteristic, complemented
133#4950C2211yescharacteristic, complemented
134#4943C2211yescharacteristic, complemented
135#4940C2211yescharacteristic, complemented
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4939C2211yescharacteristic, complemented
141#4939C2211yescharacteristic, complemented
142#4939C2211yescharacteristic, complemented
143#4939C2211yescharacteristic, complemented
144#4939C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148#4936C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4677C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4674C2211yescharacteristic, complemented
154#4674C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4661C2211yescharacteristic, complemented
185#4661C2211yescharacteristic, complemented
186#4659C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#123—31no—
192#2847—31no—
193#2709—31no—
194#2707—31no—
195#2706—31no—
196#2706—31no—
197#2703—31no—
198#2701—31no—
199#2673—31no—
200#2671—31no—
201#2661—31no—
202#2630—31no—
203#2473—31no—
204#2471—31no—
205#2464—31no—
206#2457—31no—
207#2445—31no—
208#2443—31no—
209#2433—31no—
210#2424—31no—
211#2424—31no—
212#2424—31no—
213#2418—31no—
214#2416—31no—
215#2412—31no—
216#2410—31no—
217#2358—31no—
218#2352—31no—
219#2335D311yescharacteristic, complemented
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×D4—24no—
237C2×D3×D4—42no—
238C2×D3×D4—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×C4×D3—24no—
253C22×C4×D3—42no—
254C22×C4×D3—42no—
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C3×#123D418yescomplemented
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#940—24no—
293#939—24no—
294#935—24no—
295#930—24no—
296#930—42no—
297#929—24no—
298C4×#67—24no—
299C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#895—24no—
364#895—42no—
365#895—42no—
366#895—42no—
367#895—42no—
368#894—24no—
369#894—24no—
370#894—24no—
371#892—24no—
372D3×C4⋊C4—24no—
373D3×C4⋊C4—24no—
374#889—24no—
375#886—24no—
376#886—24no—
377#884—24no—
378#884—24no—
379#884—24no—
380#883—24no—
381#883—24no—
382#883—24no—
383#882—24no—
384#882—24no—
385#882—42no—
386#882—42no—
387#882—42no—
388#882—42no—
389#67⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—24no—
393#874—42no—
394C4×D12—24no—
395C4×D12—42no—
396C4×D12—42no—
397C4×D12—42no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C24×C4—31no—
428#540—68no—
429C2×#127—31no—
430C2×#127—31no—
431C2×#125—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—68no—
443C2×#123C2×D311yescharacteristic
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×#117—31no—
468C22×C4⋊C4—31no—
469C22×C4⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474#400—31no—
475#399—31no—
476#399—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#398—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—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#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic
521#389—31no—
522#389C2×D311yescharacteristic, complemented
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388C2×D311yescharacteristic, complemented
530#388C2×D311yescharacteristic, complemented
531#388C2×D311yescharacteristic, complemented
532#388C2×D311yescharacteristic, complemented
533#387—31no—
534#387—31no—
535#387—31no—
536#387C2×D311yescharacteristic, complemented
537#387C2×D311yescharacteristic, complemented
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#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386C2×D311yescharacteristic
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385C2×D311yescharacteristic, complemented
568#382—31no—
569#381—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380C2×D311yescharacteristic, complemented
576#379—31no—
577C4×C4⋊C4C2×D311yescharacteristic, complemented
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4C2×D311yescharacteristic, complemented
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4C2×D414yes—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4C2×D414yes—
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667D3×D4—416no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—416no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C3×C4⋊C4—41no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4—41no—
741C3×C4⋊C4—41no—
742C3×C4⋊C4—41no—
743C3×C4⋊C4C2×D414yes—
744C3×C4⋊C4C2×D414yes—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4C2×D414yes—
753C3×C22⋊C4C2×D414yes—
754C3×C22⋊C4C2×D414yes—
755C3×C42—22no—
756C3×C42—41no—
757C3×C42—41no—
758C3×C42—41no—
759C3×C42—41no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4#4114yes—
806C4⋊Dic3—22no—
807C4⋊Dic3—22no—
808C4⋊Dic3—22no—
809C4⋊Dic3—22no—
810C4⋊Dic3—22no—
811C4⋊Dic3—41no—
812C4⋊Dic3—41no—
813C4⋊Dic3—41no—
814C4⋊Dic3—41no—
815C4⋊Dic3—41no—
816C4⋊Dic3—41no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825C4×Dic3—22no—
826C4×Dic3—22no—
827C25—31no—
828C25—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—64no—
851C22×D4—122no—
852C22×D4—122no—
853C22×D4C22×D311yescharacteristic
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—64no—
867C23×C4—122no—
868C23×C4—122no—
869C23×C4C22×D311yescharacteristic
870C23×C4C22×D311yescharacteristic
871#127—64no—
872#127—122no—
873#125—64no—
874#123—64no—
875#123—64no—
876#123—64no—
877#123—64no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123D1218yescomplemented
885#121—64no—
886#121—64no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—122no—
892#121—122no—
893#121—122no—
894#121—122no—
895#121—122no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908#117—64no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—64no—
929C2×C4⋊C4—64no—
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C4⋊C4C22×D311yescharacteristic
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—64no—
984C2×C22⋊C4—64no—
985C2×C22⋊C4—64no—
986C2×C22⋊C4—122no—
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C42—31no—
998C2×C42—31no—
999C2×C42C22×D311yescharacteristic
1000C2×C42C22×D311yescharacteristic
1001C2×C42C22×D311yescharacteristic
1002C2×C42C22×D311yescharacteristic
1003C2×C42C22×D311yescharacteristic
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3C22×D412yes—
1045C23×C3C22×D412yes—
1046C23×C3C2511yescharacteristic
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—28no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3C2×#4112yes—
1100C22×D3H(5,𝔽2)12yes—
1101C22×D3H(5,𝔽2)12yes—
1102C22×D3H(5,𝔽2)12yes—
1103C3×D4—44no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—44no—
1138C2×C3×C4—82no—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C22×D412yes—
1143C2×C3×C4C22×D412yes—
1144C2×C3×C4C2×#4112yes—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—82no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—44no—
1183C2×Dic3—82no—
1184C2×Dic3C2×#4112yes—
1185D12—44no—
1186D12—44no—
1187D12—44no—
1188D12—44no—
1189D12—44no—
1190D12—82no—
1191D12—82no—
1192D12—82no—
1193D12—82no—
1194D12—82no—
1195D12—82no—
1196D12—82no—
1197D12—82no—
1198C4×D3—44no—
1199C4×D3—44no—
1200C4×D3—44no—
1201C4×D3—44no—
1202C4×D3—44no—
1203C4×D3—44no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—82no—
1207C4×D3—82no—
1208C24—31no—
1209C24—31no—
1210C24—31no—
1211C24—31no—
1212C24—31no—
1213C24—31no—
1214C24—62no—
1215C24—62no—
1216C24—62no—
1217C24—62no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—121no—
1224C24—121no—
1225C24—121no—
1226C24—121no—
1227C24—121no—
1228C24C23×D311yescharacteristic
1229C24C23×D311yescharacteristic
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—1216no—
1296C2×D4C2×D1214yes—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
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—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—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—1216no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4C2×D1214yes—
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4C2×D1214yes—
1388C4⋊C4C2×D1214yes—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—34no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4C2×D1214yes—
1443C22⋊C4C2×D1214yes—
1444C22⋊C4C2×D1214yes—
1445C42—22no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—62no—
1451C42—62no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—22no—
1457C22×C3—22no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3C23×D411yescharacteristic
1467C22×C3C22×#4111yescharacteristic
1468C22×C3C2×H(5,𝔽2)11yescharacteristic
1469C22×C3C2×H(5,𝔽2)11yescharacteristic
1470C22×C3C2×H(5,𝔽2)11yescharacteristic
1471C22×C3#58511yescharacteristic
1472C22×C3#58511yescharacteristic
1473C2×D3—22no—
1474C2×D3—22no—
1475C2×D3—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—416no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—88no—
1516C2×D3#54014yescomplemented
1517C3×C4—22no—
1518C3×C4—22no—
1519C3×C4—22no—
1520C3×C4—22no—
1521C3×C4—22no—
1522C3×C4—22no—
1523C3×C4—41no—
1524C3×C4—41no—
1525C3×C4—41no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530Dic3—22no—
1531Dic3—41no—
1532Dic3—41no—
1533Dic3—41no—
1534Dic3—41no—
1535Dic3—41no—
1536Dic3—41no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—32no—
1553C23—32no—
1554C23—32no—
1555C23—32no—
1556C23—68no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—124no—
1596C23—124no—
1597C23—124no—
1598C23—124no—
1599C23—124no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—242no—
1606C23—242no—
1607C23—242no—
1608C23C22×D1212yes—
1609C23C22×D1212yes—
1610C23C24×D311yescharacteristic
1611D4—44no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—242no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631D4—242no—
1632D4—242no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—32no—
1667C2×C4—44no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—82no—
1698C2×C4—124no—
1699C2×C4—124no—
1700C2×C4—124no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—242no—
1708C2×C4—242no—
1709C2×C4—242no—
1710C2×C4C22×D1212yes—
1711C2×C4C22×D1212yes—
1712C2×C4C22×D1212yes—
1713C2×C4C22×D1212yes—
1714C2×C4C22×D1212yes—
1715C2×C4D3×#4112yes—
1716C2×C3—42no—
1717C2×C3—42no—
1718C2×C3C2×#54011yescharacteristic
1719C2×C3D4×#4111yescharacteristic
1720C2×C3#348411yescharacteristic
1721C2×C3#348811yescharacteristic
1722C2×C3#351311yescharacteristic
1723C2×C3#353311yescharacteristic
1724C2×C3#353411yescharacteristic
1725D3—24no—
1726D3—42no—
1727D3—81no—
1728D3—81no—
1729D3—81no—
1730D3—81no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—34no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—62no—
1747C22—62no—
1748C22—62no—
1749C22—62no—
1750C22—62no—
1751C22—62no—
1752C22—62no—
1753C22—62no—
1754C22—62no—
1755C22—1216no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—248no—
1789C22C23×D1211yescharacteristic
1790C22C2×D3×#4111yescharacteristic
1791C22#596411yescharacteristic
1792C22D3×H(5,𝔽2)11yescharacteristic
1793C22D3×H(5,𝔽2)11yescharacteristic
1794C22D3×H(5,𝔽2)11yescharacteristic
1795C22#596811yescharacteristic
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—22no—
1800C4—22no—
1801C4—22no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—62no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C4—121no—
1818C4—121no—
1819C3#3771411yescharacteristic, complemented, Sylow
1820C2—42no—
1821C2—42no—
1822C2—64no—
1823C2—122no—
1824C2—241no—
1825C2—241no—
1826C2—241no—
1827C2—241no—
1828C2#41×D1211yescharacteristic
1829C2#8586711yescharacteristic
1830C2#8590011yescharacteristic
1831C2#8642111yescharacteristic
1832C2#8645511yescharacteristic
1833C2D3×#54011yescharacteristic
1834C2#8655911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2335C2
hypercenter#2335D3
hypocenterC3#37714
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
1. C2×D3×#123C2semidirect
2. C2×#5663C2semidirect
3. C3×#2335C2semidirect
4. #76386C2semidirect
5. #76314C2semidirect
6. #76211C2semidirect
7. #76114C2semidirect
8. #75927C2semidirect
9. #75851C2semidirect
10. #75846C2semidirect
11. #75846C2semidirect
12. #75846C2semidirect
13. #75844C2semidirect
14. #75687C2semidirect
15. #75687C2semidirect
16. #75387C2semidirect
17. #75332C2semidirect
18. #75319C2semidirect
19. #75009C2semidirect
20. #74888C2semidirect
21. #74820C2semidirect
22. #74628C2semidirect
23. #74406C2semidirect
24. #74048C2semidirect
25. #74034C2semidirect
26. #73780C2semidirect
27. #73771C2semidirect
28. #73611C2semidirect
29. #73591C2semidirect
30. #73577C2semidirect
31. C4×#882C2semidirect
40. C2×#930C22semidirect
42. C2×C4×#67C22semidirect
49. C2×#895C22semidirect
50. C2×#895C22semidirect
53. C2×#894C22semidirect
54. C2×#892C22semidirect
57. C2×#889C22semidirect
59. C2×#886C22semidirect
60. C2×#884C22semidirect
61. C2×#884C22semidirect
62. C2×#884C22semidirect
65. C2×#883C22semidirect
72. C2×#67⋊C4C22semidirect
80. C2×C4×D12C22semidirect
82. C3×#389C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×#388C22semidirect
86. C3×#388C22semidirect
87. C3×#387C22semidirect
88. C3×#387C22semidirect
90. C3×#385C22semidirect
91. C3×#380C22semidirect
92. C3×C4×C4⋊C4C22semidirect
93. C3×C4×C22⋊C4C22semidirect
94. C3×C4×C22⋊C4C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
108. #4987C22semidirect
109. #4987C22semidirect
110. #4987C22semidirect
111. #4981C22semidirect
112. #4981C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
127. #4958C22semidirect
128. #4958C22semidirect
129. #4958C22semidirect
131. #4953C22semidirect
132. #4950C22semidirect
133. #4950C22semidirect
134. #4943C22semidirect
135. #4940C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. #4939C22semidirect
141. #4939C22semidirect
142. #4939C22semidirect
143. #4939C22semidirect
144. #4939C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. #4936C22semidirect
149. #4928C22semidirect
150. #4677C22semidirect
151. #4677C22semidirect
152. #4674C22semidirect
153. #4674C22semidirect
154. #4674C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4671C22semidirect
163. #4670C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4661C22semidirect
185. #4661C22semidirect
186. #4659C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
219. #2335D3semidirect
265. C3×#123D4semidirect
522. #389C2×D3semidirect
529. #388C2×D3semidirect
530. #388C2×D3semidirect
531. #388C2×D3semidirect
532. #388C2×D3semidirect
536. #387C2×D3semidirect
537. #387C2×D3semidirect
567. #385C2×D3semidirect
575. #380C2×D3semidirect
577. C4×C4⋊C4C2×D3semidirect
581. C4×C22⋊C4C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
884. #123D12semidirect
1516. C2×D3#540semidirect
1819. C3#37714semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×#56632
C3×#23352
#763862
#763142
#762112
#761142
#759272
#758512
#758462
#758442
#756872
#753872
#753322
#753192
#750092
#748882
#748202
#746282
#744062
#740482
#740342
#737802
#737712
#736112
#735912
#735772
C4×#8822
#377143