Finite Group Databasebeta

← #11025261

Subgroups — #11025261

Order 768.

2868 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5560C211yesmaximal, characteristic, complemented
2C22×#894C211yesmaximal, characteristic, complemented
3C3×#2361C211yesmaximal, characteristic, complemented
4#82706C211yesmaximal, characteristic, complemented
5#82702C211yesmaximal, characteristic, complemented
6#82411C211yesmaximal, characteristic, complemented
7#82403C211yesmaximal, characteristic, complemented
8D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
9C4×#937C211yesmaximal, characteristic, complemented
10#82356C211yesmaximal, characteristic, complemented
11#82175C211yesmaximal, characteristic, complemented
12#76462C211yesmaximal, characteristic, complemented
13#76387C211yesmaximal, characteristic, complemented
14#76268C211yesmaximal, characteristic, complemented
15#76111C211yesmaximal, characteristic, complemented
16#75923C211yesmaximal, characteristic, complemented
17#75910C211yesmaximal, characteristic, complemented
18#75884C211yesmaximal, characteristic, complemented
19#75677C211yesmaximal, characteristic, complemented
20#74935C211yesmaximal, characteristic, complemented
21#74884C211yesmaximal, characteristic, complemented
22#74727C211yesmaximal, characteristic, complemented
23#74693C211yesmaximal, characteristic, complemented
24#74638C211yesmaximal, characteristic, complemented
25#74622C211yesmaximal, characteristic, complemented
26#74603C211yesmaximal, characteristic, complemented
27#74511C211yesmaximal, characteristic, complemented
28#73803C211yesmaximal, characteristic, complemented
29#73765C211yesmaximal, characteristic, complemented
30#73596C211yesmaximal, characteristic, complemented
31#73594C211yesmaximal, characteristic, complemented
32#37713—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic, complemented
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×C3×C4×D4C2211yescharacteristic, complemented
40C22×C3×C4⋊C4C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic, complemented
47C2×D4×Dic3C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#930C2211yescharacteristic, complemented
50C2×#929C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic, complemented
52C2×C4×#67C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
56C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
57C22×Dic3⋊C4C2211yescharacteristic, complemented
58#5560—28no—
59C2×#898C2211yescharacteristic, complemented
60C2×#894—28no—
61C2×#894C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic
64C2×#894C2211yescharacteristic
65C2×#894C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×#894C2211yescharacteristic, complemented
68C2×#894C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#878C2211yescharacteristic, complemented
76C2×#878C2211yescharacteristic, complemented
77C2×#876C2211yescharacteristic, complemented
78C2×#875C2211yescharacteristic, complemented
79C3×#390C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×C4×C4⋊C4C2211yescharacteristic, complemented
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic, complemented
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic, complemented
97#5212C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100C4×#217C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4988C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4985C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4978C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic, complemented
144#4955C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4946C2211yescharacteristic, complemented
150#4942C2211yescharacteristic, complemented
151#4942C2211yescharacteristic, complemented
152#4940C2211yescharacteristic, complemented
153#4940C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4940C2211yescharacteristic, complemented
156#4940C2211yescharacteristic, complemented
157#4940C2211yescharacteristic, complemented
158#4939C2211yescharacteristic
159#4939C2211yescharacteristic, complemented
160#4939C2211yescharacteristic, complemented
161#4939C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165#4933C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4675C2211yescharacteristic, complemented
171#4674C2211yescharacteristic, complemented
172#4673C2211yescharacteristic, complemented
173#4673C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4672C2211yescharacteristic, complemented
176#4671C2211yescharacteristic
177#4671C2211yescharacteristic
178#4670C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4667C2211yescharacteristic, complemented
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#123—31no—
192#2847—31no—
193#2710—31no—
194#2708—31no—
195#2703—31no—
196#2697—31no—
197#2696—31no—
198#2695—31no—
199#2682—31no—
200#2678—31no—
201#2661—31no—
202#2630—31no—
203#2557—31no—
204#2554—31no—
205#2481—31no—
206#2480—31no—
207#2472—31no—
208#2472—31no—
209#2456—31no—
210#2443—31no—
211#2424—31no—
212#2418—31no—
213#2417—31no—
214#2410—31no—
215#2408—31no—
216#2403—31no—
217#2361D311yescharacteristic, complemented
218D4×C22⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C2×D3×D4—24no—
245C2×D3×D4—42no—
246C2×D3×D4—42no—
247C22×D12—24no—
248C22×D12—42no—
249C22×D12—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3—24no—
258C22×C4×D3—42no—
259C22×C4×D3—42no—
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#121—24no—
267C3×C4×D4—24no—
268C3×C4×D4—42no—
269C3×C4×D4—42no—
270C2×C3×C4⋊C4—24no—
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#939—24no—
302#939—42no—
303#937—24no—
304#937—24no—
305#937—42no—
306#937—42no—
307D4×Dic3—42no—
308#930—24no—
309#930—42no—
310#929—24no—
311C4×#67—24no—
312C4×#67—42no—
313C2×(C2×D3)⋊C4—24no—
314C2×(C2×D3)⋊C4—24no—
315C2×(C2×D3)⋊C4—24no—
316C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×Dic3⋊C4—24no—
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#898—24no—
380#894—24no—
381#894—24no—
382#894—24no—
383#894—24no—
384#894—24no—
385#894—24no—
386#894—24no—
387#894D418yescomplemented
388#885—24no—
389#884—24no—
390#884—42no—
391#882—24no—
392#882—42no—
393#882—42no—
394#878—24no—
395#878—42no—
396#876—24no—
397#875—24no—
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—
427C23×D4—31no—
428C24×C4—31no—
429#538—68no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#124—31no—
433C2×#124—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—31no—
443C2×#123—68no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121C2×D311yescharacteristic
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4C2×D311yescharacteristic
464C2×C4×D4C2×D311yescharacteristic, complemented
465C2×C4×D4C2×D311yescharacteristic, complemented
466C22×C4⋊C4—31no—
467C22×C4⋊C4C2×D311yescharacteristic, complemented
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#400—31no—
473#400—31no—
474#399—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—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#393—31no—
502#393—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic, complemented
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#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388C2×D311yescharacteristic, complemented
534#388C2×D311yescharacteristic, complemented
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic, complemented
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385C2×D311yescharacteristic, complemented
565#385C2×D311yescharacteristic, complemented
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4C2×D311yescharacteristic, complemented
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
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—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—41no—
620C2×C3×D4#4114yes—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695D3×D4—416no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—416no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12C2×D414yes—
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—41no—
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—416no—
733C2×C4×D3C2×D414yescomplemented
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—41no—
742C3×C4⋊C4—41no—
743C3×C4⋊C4C2×D414yescomplemented
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C42—22no—
755C3×C42—41no—
756C3×C42—41no—
757C3×C42—41no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217—41no—
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—22no—
785(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
806(C2×D3)⋊C4C2×D414yes—
807(C2×D3)⋊C4C2×D414yescomplemented
808C4⋊Dic3—22no—
809C4⋊Dic3—41no—
810C4⋊Dic3—41no—
811C4⋊Dic3—41no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4—41no—
823Dic3⋊C4—41no—
824Dic3⋊C4C2×D414yescomplemented
825C4×Dic3—22no—
826C4×Dic3—41no—
827C4×Dic3—41no—
828C25—31no—
829C25—31no—
830C25—31no—
831C22×Q8—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—64no—
849C22×D4—64no—
850C22×D4—122no—
851C22×D4—122no—
852C22×D4—122no—
853C22×D4—122no—
854C22×D4C22×D311yescharacteristic
855C22×D4C22×D311yescharacteristic
856C22×D4C22×D311yescharacteristic
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—64no—
866C23×C4—122no—
867C23×C4—122no—
868C23×C4C22×D311yescharacteristic
869C23×C4C22×D311yescharacteristic
870C23×C4C22×D311yescharacteristic
871C23×C4C22×D311yescharacteristic
872C23×C4C22×D311yescharacteristic
873#126—64no—
874#126—64no—
875#124—64no—
876#124—64no—
877#123—38no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888#121—24no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—64no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—24no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—64no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—24no—
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—64no—
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
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—31no—
984C2×C22⋊C4—64no—
985C2×C22⋊C4—64no—
986C2×C22⋊C4—64no—
987C2×C22⋊C4—64no—
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×C22⋊C4C22×D311yescharacteristic
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42C22×D311yescharacteristic
1002C2×C42C22×D311yescharacteristic
1003C2×C42C22×D311yescharacteristic
1004C2×C42C22×D311yescharacteristic
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#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
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×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3C2×#4112yes—
1051C23×C3C2×#4112yes—
1052C23×C3H(5,𝔽2)12yes—
1053C23×C3H(5,𝔽2)12yes—
1054C23×C3C2511yescharacteristic
1055C22×D3—28no—
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—21no—
1087C22×D3—21no—
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—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3—82no—
1108C22×D3C22×D412yes—
1109C22×D3C22×D412yes—
1110C22×D3H(5,𝔽2)12yes—
1111C3×D4—28no—
1112C3×D4—44no—
1113C3×D4—44no—
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—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—44no—
1147C2×C3×C4—44no—
1148C2×C3×C4—44no—
1149C2×C3×C4—82no—
1150C2×C3×C4—82no—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C2×#4112yes—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—82no—
1160#67—82no—
1161#67—82no—
1162#67—82no—
1163#67—82no—
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—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—44no—
1196C2×Dic3—44no—
1197C2×Dic3—82no—
1198C2×Dic3C22×D412yes—
1199C2×Dic3C22×D412yes—
1200D12—44no—
1201D12—44no—
1202D12—44no—
1203D12—44no—
1204D12—44no—
1205D12—82no—
1206D12—82no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—44no—
1210C4×D3—44no—
1211C4×D3—44no—
1212Dic6—82no—
1213C24—31no—
1214C24—31no—
1215C24—31no—
1216C24—31no—
1217C24—31no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C2×Q8—62no—
1243C2×Q8—121no—
1244C2×Q8—121no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—34no—
1253C2×D4—41no—
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—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
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—1216no—
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—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—1216no—
1303C2×D4#23514yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—34no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—1216no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C22×C4C23×D311yescharacteristic
1366C22×C4C23×D311yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—34no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
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⋊C4—121no—
1388C4⋊C4—121no—
1389C4⋊C4—121no—
1390C4⋊C4D3×D414yescomplemented
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—34no—
1398C22⋊C4—34no—
1399C22⋊C4—34no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
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—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
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⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C42—22no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—62no—
1456C42—121no—
1457C42—121no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3#53814yescomplemented
1479C22×C3C23×D411yescharacteristic
1480C22×C3C22×#4111yescharacteristic
1481C22×C3C2×H(5,𝔽2)11yescharacteristic
1482C22×C3C2×H(5,𝔽2)11yescharacteristic
1483C22×C3C2×H(5,𝔽2)11yescharacteristic
1484C22×C3#58511yescharacteristic
1485C22×C3#58511yescharacteristic
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—22no—
1495C2×D3—416no—
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—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—88no—
1523C2×D3—88no—
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—22no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536Dic3—22no—
1537Dic3—22no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—32no—
1565C23—32no—
1566C23—32no—
1567C23—68no—
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—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—242no—
1613C23—242no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23—242no—
1619C23—242no—
1620C23C2×#23512yes—
1621C23C2×#23512yes—
1622C23#100412yes—
1623C23#100912yes—
1624C23C24×D311yescharacteristic
1625Q8—242no—
1626D4—28no—
1627D4—44no—
1628D4—44no—
1629D4—124no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
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—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—32no—
1678C2×C4—32no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—44no—
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—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—82no—
1714C2×C4—82no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—242no—
1723C2×C4C2×#23512yes—
1724C2×C4C2×D3×D412yes—
1725C2×C4C2×D3×D412yes—
1726C2×C4C2×D3×D412yes—
1727C2×C3—24no—
1728C2×C3—42no—
1729C2×C3—81no—
1730C2×C3C2×#53811yescharacteristic
1731C2×C3D4×#4111yescharacteristic
1732C2×C3#348411yescharacteristic
1733C2×C3#348811yescharacteristic
1734C2×C3#351311yescharacteristic
1735C2×C3#353311yescharacteristic
1736C2×C3#353411yescharacteristic
1737D3—42no—
1738D3—42no—
1739D3—42no—
1740D3—81no—
1741D3—81no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—62no—
1770C22—62no—
1771C22—1216no—
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—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—248no—
1799C22—248no—
1800C22#556014yescomplemented
1801C22C22×#23511yescharacteristic
1802C22C22×D3×D411yescharacteristic
1803C22C2×#100411yescharacteristic
1804C22C2×#100911yescharacteristic
1805C22#596411yescharacteristic
1806C22D3×H(5,𝔽2)11yescharacteristic
1807C22#596811yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—62no—
1821C4—62no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C3#3771311yescharacteristic, complemented, Sylow
1832C2—24no—
1833C2—42no—
1834C2—81no—
1835C2—122no—
1836C2—122no—
1837C2—122no—
1838C2—241no—
1839C2—241no—
1840C2C2×#556011yescharacteristic
1841C2D4×#23511yescharacteristic
1842C2#8590511yescharacteristic
1843C2#8662011yescharacteristic
1844C2#8670411yescharacteristic
1845C2#8671311yescharacteristic
1846C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2361C2
hypercenter#2361D3
hypocenterC3#37713
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
1. C2×#5560C2semidirect
2. C22×#894C2semidirect
3. C3×#2361C2semidirect
4. #82706C2semidirect
5. #82702C2semidirect
6. #82411C2semidirect
7. #82403C2semidirect
8. D4×(C2×D3)⋊C4C2semidirect
9. C4×#937C2semidirect
10. #82356C2semidirect
11. #82175C2semidirect
12. #76462C2semidirect
13. #76387C2semidirect
14. #76268C2semidirect
15. #76111C2semidirect
16. #75923C2semidirect
17. #75910C2semidirect
18. #75884C2semidirect
19. #75677C2semidirect
20. #74935C2semidirect
21. #74884C2semidirect
22. #74727C2semidirect
23. #74693C2semidirect
24. #74638C2semidirect
25. #74622C2semidirect
26. #74603C2semidirect
27. #74511C2semidirect
28. #73803C2semidirect
29. #73765C2semidirect
30. #73596C2semidirect
31. #73594C2semidirect
35. C23×C4×D3C22semidirect
38. C2×C3×C4×D4C22semidirect
39. C2×C3×C4×D4C22semidirect
40. C22×C3×C4⋊C4C22semidirect
42. C2×#939C22semidirect
45. C2×#937C22semidirect
46. C2×#937C22semidirect
49. C2×#930C22semidirect
50. C2×#929C22semidirect
51. C2×C4×#67C22semidirect
52. C2×C4×#67C22semidirect
55. C22×(C2×D3)⋊C4C22semidirect
56. C22×(C2×D3)⋊C4C22semidirect
57. C22×Dic3⋊C4C22semidirect
59. C2×#898C22semidirect
65. C2×#894C22semidirect
66. C2×#894C22semidirect
67. C2×#894C22semidirect
68. C2×#894C22semidirect
69. C2×#885C22semidirect
70. C2×#884C22semidirect
71. C2×#884C22semidirect
75. C2×#878C22semidirect
76. C2×#878C22semidirect
77. C2×#876C22semidirect
78. C2×#875C22semidirect
79. C3×#390C22semidirect
80. C3×#389C22semidirect
81. C3×#388C22semidirect
82. C3×#388C22semidirect
84. C3×#386C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
87. C3×C4×C4⋊C4C22semidirect
88. C3×C4×C22⋊C4C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
92. #5220C22semidirect
96. #5213C22semidirect
97. #5212C22semidirect
98. #5210C22semidirect
99. #5210C22semidirect
100. C4×#217C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4993C22semidirect
104. #4992C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4988C22semidirect
114. #4987C22semidirect
115. #4986C22semidirect
116. #4985C22semidirect
117. #4983C22semidirect
118. #4980C22semidirect
119. #4978C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
143. #4955C22semidirect
144. #4955C22semidirect
145. #4955C22semidirect
146. #4952C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4946C22semidirect
150. #4942C22semidirect
151. #4942C22semidirect
152. #4940C22semidirect
153. #4940C22semidirect
154. #4940C22semidirect
155. #4940C22semidirect
156. #4940C22semidirect
157. #4940C22semidirect
159. #4939C22semidirect
160. #4939C22semidirect
161. #4939C22semidirect
162. C4×(C2×D3)⋊C4C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. #4933C22semidirect
166. #4676C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4675C22semidirect
170. #4675C22semidirect
171. #4674C22semidirect
172. #4673C22semidirect
173. #4673C22semidirect
174. #4672C22semidirect
175. #4672C22semidirect
178. #4670C22semidirect
179. #4669C22semidirect
180. #4667C22semidirect
181. #4667C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4661C22semidirect
187. #4657C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
217. #2361D3semidirect
387. #894D4semidirect
464. C2×C4×D4C2×D3semidirect
465. C2×C4×D4C2×D3semidirect
467. C22×C4⋊C4C2×D3semidirect
520. #390C2×D3semidirect
522. #389C2×D3semidirect
533. #388C2×D3semidirect
534. #388C2×D3semidirect
557. #386C2×D3semidirect
564. #385C2×D3semidirect
565. #385C2×D3semidirect
577. C4×C4⋊C4C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
733. C2×C4×D3C2×D4semidirect
743. C3×C4⋊C4C2×D4semidirect
807. (C2×D3)⋊C4C2×D4semidirect
824. Dic3⋊C4C2×D4semidirect
1390. C4⋊C4D3×D4semidirect
1478. C22×C3#538semidirect
1800. C22#5560semidirect
1831. C3#37713semidirect

Maximal subgroups

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

subgroupindex
C2×#55602
C22×#8942
C3×#23612
#827062
#827022
#824112
#824032
D4×(C2×D3)⋊C42
C4×#9372
#823562
#821752
#764622
#763872
#762682
#761112
#759232
#759102
#758842
#756772
#749352
#748842
#747272
#746932
#746382
#746222
#746032
#745112
#738032
#737652
#735962
#735942
#377133