Finite Group Databasebeta

← #11025490

Subgroups — #11025490

Order 768.

3154 conjugacy classes of subgroups.

The subgroup lattice has 1948 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#930C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×C4×#120C211yesmaximal, characteristic, complemented
4#84033C211yesmaximal, characteristic, complemented
5#82604C211yesmaximal, characteristic, complemented
6#82582C211yesmaximal, characteristic, complemented
7#82422C211yesmaximal, characteristic, complemented
8#82411C211yesmaximal, characteristic, complemented
9#82407C211yesmaximal, characteristic, complemented
10#82398C211yesmaximal, characteristic, complemented
11D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
12#74917C211yesmaximal, characteristic, complemented
13#74911C211yesmaximal, characteristic, complemented
14#74884C211yesmaximal, characteristic, complemented
15#74798C211yesmaximal, characteristic, complemented
16#74793C211yesmaximal, characteristic, complemented
17#74710C211yesmaximal, characteristic, complemented
18#74638C211yesmaximal, characteristic, complemented
19#74599C211yesmaximal, characteristic, complemented
20#74530C211yesmaximal, characteristic, complemented
21#74512C211yesmaximal, characteristic, complemented
22#74511C211yesmaximal, characteristic, complemented
23#74454C211yesmaximal, characteristic, complemented
24#73854C211yesmaximal, characteristic, complemented
25#73827C211yesmaximal, characteristic, complemented
26#73611C211yesmaximal, characteristic, complemented
27#73603C211yesmaximal, characteristic, complemented
28#73600C211yesmaximal, characteristic, complemented
29#73596C211yesmaximal, characteristic, complemented
30#73594C211yesmaximal, characteristic, complemented
31#73449C211yesmaximal, characteristic, complemented
32#37720—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic, complemented
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic, complemented
36C22×D3×D4C2211yescharacteristic
37C23×D12C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×C3×C4×D4C2211yescharacteristic, complemented
42C2×#953C2211yescharacteristic
43C2×#939C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic, complemented
48C2×D4×Dic3C2211yescharacteristic
49C2×#930—28no—
50C2×#930C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×#930C2211yescharacteristic
53C2×#930C2211yescharacteristic
54C2×#930C2211yescharacteristic, complemented
55C2×#930C2211yescharacteristic, complemented
56C2×#930C2211yescharacteristic, complemented
57C2×#930C2211yescharacteristic, complemented
58C2×#929C2211yescharacteristic, complemented
59C2×#929C2211yescharacteristic, complemented
60C2×C4×#67C2211yescharacteristic, complemented
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
63C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
64C22×C4⋊Dic3C2211yescharacteristic, complemented
65#5560—28no—
66C2×#898C2211yescharacteristic, complemented
67C2×#894C2211yescharacteristic, complemented
68C2×#894C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#876C2211yescharacteristic, complemented
80C2×#875C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#379C2211yescharacteristic, complemented
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89C3×C4×C22⋊C4C2211yescharacteristic, complemented
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91#5247C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5220C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5211C2211yescharacteristic, complemented
104#5211C2211yescharacteristic, complemented
105#5210C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107#5210C2211yescharacteristic, complemented
108#5210C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4988C2211yescharacteristic, complemented
115#4987C2211yescharacteristic, complemented
116#4986C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4958C2211yescharacteristic
133#4958C2211yescharacteristic
134#4958C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4950C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4946C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic, complemented
156#4940C2211yescharacteristic, complemented
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic, complemented
163#4939C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4674C2211yescharacteristic, complemented
171#4674C2211yescharacteristic, complemented
172#4673C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4672C2211yescharacteristic, complemented
176#4672C2211yescharacteristic, complemented
177#4671C2211yescharacteristic, complemented
178#4671C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4661C2211yescharacteristic, complemented
185#4660C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#121—31no—
192#2849—31no—
193#2714—31no—
194#2708—31no—
195#2688—31no—
196#2686—31no—
197#2682—31no—
198#2678—31no—
199#2676—31no—
200#2668—31no—
201#2661—31no—
202#2635—31no—
203#2559—31no—
204#2555—31no—
205#2481—31no—
206#2480—31no—
207#2472—31no—
208#2456—31no—
209#2449—31no—
210#2435—31no—
211#2424—31no—
212#2410—31no—
213#2408—31no—
214#2405—31no—
215#2403—31no—
216#2403—31no—
217#2358—31no—
218D4×C22⋊C4—31no—
219#2333—31no—
220C4×#120D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4—24no—
229C23×C3×C4—42no—
230C23×C3×C4—42no—
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67—24no—
239C22×#67—24no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67—42no—
243C22×#67—42no—
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C2×D3×D4—24no—
262C2×D3×D4—42no—
263C2×D3×D4—42no—
264C22×D12—24no—
265C22×D12—42no—
266C22×D12—42no—
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C3×#120—24no—
279C3×C4×D4—24no—
280C3×C4×D4—42no—
281C3×C4×D4—42no—
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×C3×C42C2311yescharacteristic
300#953—42no—
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313#939—24no—
314#939—42no—
315#937—24no—
316#937—24no—
317#937—42no—
318D4×Dic3—42no—
319#930—24no—
320#930—24no—
321#930—24no—
322#930—24no—
323#930—24no—
324#930—24no—
325#930—24no—
326#930D418yescomplemented
327#929—24no—
328#929—42no—
329C4×#67—24no—
330C2×(C2×D3)⋊C4—24no—
331C2×(C2×D3)⋊C4—24no—
332C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×C4⋊Dic3—24no—
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391#898—24no—
392#894—24no—
393#894—42no—
394#885—24no—
395#885—42no—
396#884—24no—
397#884—42no—
398#882—24no—
399#882—42no—
400#882—42no—
401D3×C22⋊C4—42no—
402#878—24no—
403#878—42no—
404#876—24no—
405#875—24no—
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
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436C24×C4C2×D311yescharacteristic, complemented
437#538—68no—
438C2×#126—31no—
439C2×#126—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—68no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120C2×D311yescharacteristic
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4C2×D311yescharacteristic
473C2×C4×D4C2×D311yescharacteristic, complemented
474C2×C4×D4C2×D311yescharacteristic, complemented
475C22×C4⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#400—31no—
482#399—31no—
483#398—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—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#394—31no—
506#394—31no—
507#393—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#387—31no—
538#387—31no—
539#387—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#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic, complemented
570#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#381—31no—
573#381—31no—
574#380—31no—
575#380—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379C2×D311yescharacteristic, complemented
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4C2×D311yescharacteristic, complemented
587C4×C22⋊C4C2×D311yescharacteristic, complemented
588C4×C22⋊C4C2×D311yescharacteristic, complemented
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4#4114yes—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—416no—
656C22×C3×C4C2×D414yescomplemented
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—416no—
709C2×#67—416no—
710C2×#67C2×D414yes—
711C2×#67C2×D414yescomplemented
712C22×Dic3—22no—
713C22×Dic3—22no—
714C22×Dic3—22no—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—41no—
718C22×Dic3—41no—
719C22×Dic3—41no—
720C22×Dic3—41no—
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732D3×D4—416no—
733C2×D12—22no—
734C2×D12—22no—
735C2×D12—22no—
736C2×D12—22no—
737C2×D12—22no—
738C2×D12—22no—
739C2×D12—22no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12—41no—
746C2×D12—41no—
747C2×D12—41no—
748C2×D12—416no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×D12—41no—
753C2×D12—41no—
754C2×D12C2×D414yes—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×Dic6—22no—
765C2×Dic6—41no—
766C2×Dic6—41no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—41no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C42—22no—
783C3×C42—41no—
784C3×C42—41no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4C2×D414yes—
834(C2×D3)⋊C4C2×D414yescomplemented
835C4⋊Dic3—22no—
836C4⋊Dic3—22no—
837C4⋊Dic3—22no—
838C4⋊Dic3—41no—
839C4⋊Dic3—41no—
840C4⋊Dic3C2×D414yescomplemented
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—22no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849Dic3⋊C4—41no—
850Dic3⋊C4—41no—
851C4×Dic3—22no—
852C4×Dic3—41no—
853C4×Dic3—41no—
854C25—31no—
855C25—31no—
856C25—31no—
857C25C22×D311yescharacteristic
858C22×Q8—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—64no—
884C22×D4—122no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C22×D4C22×D311yescharacteristic
895C23×C4—24no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—42no—
903C23×C4—42no—
904C23×C4C22×D311yescharacteristic
905C23×C4C22×D311yescharacteristic
906C23×C4C22×D311yescharacteristic
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909C23×C4C22×D311yescharacteristic
910C23×C4C22×D311yescharacteristic
911#126—64no—
912#126—64no—
913#124—64no—
914#124—64no—
915#124—122no—
916#123—64no—
917#123—64no—
918#123—122no—
919#123—122no—
920C22⋊Q8—64no—
921C22⋊Q8—122no—
922#121—38no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—122no—
933#121—122no—
934#120—24no—
935#120—64no—
936#120—64no—
937#120—64no—
938#120—122no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—24no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—64no—
946C4×D4—122no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—64no—
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
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—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—64no—
1019C2×C22⋊C4—64no—
1020C2×C22⋊C4—122no—
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42C22×D311yescharacteristic
1037C2×C42C22×D311yescharacteristic
1038C2×C42C22×D311yescharacteristic
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—28no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—44no—
1089C23×C3—44no—
1090C23×C3—44no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3C22×D412yes—
1095C23×C3C2×#4112yes—
1096C23×C3C2×#4112yes—
1097C23×C3H(5,𝔽2)12yes—
1098C23×C3H(5,𝔽2)12yes—
1099C23×C3H(5,𝔽2)12yes—
1100C23×C3C2511yescharacteristic
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3—82no—
1153C22×D3—82no—
1154C22×D3—82no—
1155C22×D3C22×D412yes—
1156C22×D3C22×D412yes—
1157C3×D4—28no—
1158C3×D4—44no—
1159C3×D4—44no—
1160C2×C3×C4—28no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—44no—
1191C2×C3×C4—44no—
1192C2×C3×C4—44no—
1193C2×C3×C4—44no—
1194C2×C3×C4—44no—
1195C2×C3×C4—82no—
1196C2×C3×C4C22×D412yes—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4C2×#4112yes—
1199C2×C3×C4H(5,𝔽2)12yes—
1200#67—44no—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—44no—
1209#67—44no—
1210#67—44no—
1211#67—82no—
1212#67—82no—
1213#67—82no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—44no—
1246C2×Dic3—44no—
1247C2×Dic3—82no—
1248C2×Dic3C22×D412yes—
1249C2×Dic3C22×D412yes—
1250D12—44no—
1251D12—44no—
1252D12—44no—
1253D12—44no—
1254D12—44no—
1255D12—82no—
1256D12—82no—
1257C4×D3—44no—
1258C4×D3—82no—
1259C4×D3—82no—
1260Dic6—82no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—31no—
1267C24—31no—
1268C24—31no—
1269C24—31no—
1270C24—31no—
1271C24—41no—
1272C24—41no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—121no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24C23×D311yescharacteristic
1295C24C23×D311yescharacteristic
1296C24C23×D311yescharacteristic
1297C24C23×D311yescharacteristic
1298C2×Q8—62no—
1299C2×Q8—121no—
1300C2×Q8—121no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—34no—
1308C2×D4—34no—
1309C2×D4—34no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—1216no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—1216no—
1374C2×D4—1216no—
1375C2×D4—1216no—
1376C2×D4#23514yes—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—31no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—416no—
1409C22×C4—62no—
1410C22×C4—62no—
1411C22×C4—62no—
1412C22×C4—62no—
1413C22×C4—62no—
1414C22×C4—62no—
1415C22×C4—62no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4D3×D414yescomplemented
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C22×C4C23×D311yescharacteristic
1436C22×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—34no—
1442C4⋊C4—41no—
1443C4⋊C4—62no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4—121no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—34no—
1468C22⋊C4—34no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C22⋊C4—121no—
1519C22⋊C4—121no—
1520C42—22no—
1521C42—41no—
1522C42—41no—
1523C42—62no—
1524C42—121no—
1525C42—121no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—22no—
1539C22×C3—22no—
1540C22×C3—22no—
1541C22×C3—416no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3#53814yescomplemented
1555C22×C3C23×D411yescharacteristic
1556C22×C3C22×#4111yescharacteristic
1557C22×C3C2×H(5,𝔽2)11yescharacteristic
1558C22×C3C2×H(5,𝔽2)11yescharacteristic
1559C22×C3C2×H(5,𝔽2)11yescharacteristic
1560C22×C3C2×H(5,𝔽2)11yescharacteristic
1561C22×C3#58511yescharacteristic
1562C2×D3—22no—
1563C2×D3—22no—
1564C2×D3—22no—
1565C2×D3—22no—
1566C2×D3—22no—
1567C2×D3—22no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—88no—
1598C2×D3—88no—
1599C2×D3—88no—
1600C3×C4—22no—
1601C3×C4—22no—
1602C3×C4—22no—
1603C3×C4—22no—
1604C3×C4—41no—
1605C3×C4—41no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610C3×C4—41no—
1611Dic3—22no—
1612Dic3—22no—
1613Dic3—41no—
1614Dic3—41no—
1615Dic3—41no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620Dic3—41no—
1621Dic3—41no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—28no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—32no—
1646C23—32no—
1647C23—44no—
1648C23—44no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—242no—
1697C23—242no—
1698C23—242no—
1699C23—242no—
1700C23—242no—
1701C23—242no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23C2×#23512yes—
1708C23C2×#23512yes—
1709C23C2×D3×D412yes—
1710C23#100412yes—
1711C23#100912yes—
1712C23#100912yes—
1713C23C24×D311yescharacteristic
1714Q8—242no—
1715D4—28no—
1716D4—44no—
1717D4—44no—
1718D4—124no—
1719D4—124no—
1720D4—124no—
1721D4—124no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—242no—
1735D4—242no—
1736D4—242no—
1737D4—242no—
1738D4—242no—
1739C2×C4—28no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—32no—
1770C2×C4—32no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—61no—
1807C2×C4—82no—
1808C2×C4—124no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4—242no—
1812C2×C4—242no—
1813C2×C4—242no—
1814C2×C4C2×#23512yes—
1815C2×C4C2×D3×D412yes—
1816C2×C4C2×D3×D412yes—
1817C2×C4#100412yes—
1818C2×C3—24no—
1819C2×C3—42no—
1820C2×C3—42no—
1821C2×C3—42no—
1822C2×C3C2×#53811yescharacteristic
1823C2×C3D4×#4111yescharacteristic
1824C2×C3#348411yescharacteristic
1825C2×C3#348411yescharacteristic
1826C2×C3#351911yescharacteristic
1827C2×C3#353411yescharacteristic
1828C2×C3#354211yescharacteristic
1829D3—42no—
1830D3—42no—
1831D3—81no—
1832D3—81no—
1833D3—81no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—416no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—62no—
1863C22—62no—
1864C22—62no—
1865C22—62no—
1866C22—62no—
1867C22—62no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—248no—
1898C22—248no—
1899C22—248no—
1900C22#556014yescomplemented
1901C22C22×#23511yescharacteristic
1902C22C22×D3×D411yescharacteristic
1903C22C2×#100411yescharacteristic
1904C22C2×#100411yescharacteristic
1905C22C2×#100911yescharacteristic
1906C22C2×#100911yescharacteristic
1907C22#596411yescharacteristic
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—62no—
1920C4—62no—
1921C4—121no—
1922C4—121no—
1923C4—121no—
1924C4—121no—
1925C4—121no—
1926C4—121no—
1927C4—121no—
1928C4—121no—
1929C4—121no—
1930C3#3772011yescharacteristic, complemented, Sylow
1931C2—24no—
1932C2—42no—
1933C2—42no—
1934C2—42no—
1935C2—122no—
1936C2—122no—
1937C2—241no—
1938C2—241no—
1939C2—241no—
1940C2C2×#556011yescharacteristic
1941C2D4×#23511yescharacteristic
1942C2#8579011yescharacteristic
1943C2#8591911yescharacteristic
1944C2#8603911yescharacteristic
1945C2#8605011yescharacteristic
1946C2#8605811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×C4×#120C2
hypercenterC4×#120D3
hypocenterC3#37720
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C22×#930C2semidirect
2. C2×#5560C2semidirect
3. C3×C4×#120C2semidirect
4. #84033C2semidirect
5. #82604C2semidirect
6. #82582C2semidirect
7. #82422C2semidirect
8. #82411C2semidirect
9. #82407C2semidirect
10. #82398C2semidirect
11. D4×(C2×D3)⋊C4C2semidirect
12. #74917C2semidirect
13. #74911C2semidirect
14. #74884C2semidirect
15. #74798C2semidirect
16. #74793C2semidirect
17. #74710C2semidirect
18. #74638C2semidirect
19. #74599C2semidirect
20. #74530C2semidirect
21. #74512C2semidirect
22. #74511C2semidirect
23. #74454C2semidirect
24. #73854C2semidirect
25. #73827C2semidirect
26. #73611C2semidirect
27. #73603C2semidirect
28. #73600C2semidirect
29. #73596C2semidirect
30. #73594C2semidirect
31. #73449C2semidirect
33. C24×C3×C4C22semidirect
35. C23×#67C22semidirect
40. C2×C3×C4×D4C22semidirect
41. C2×C3×C4×D4C22semidirect
43. C2×#939C22semidirect
44. C2×#939C22semidirect
46. C2×#937C22semidirect
47. C2×#937C22semidirect
54. C2×#930C22semidirect
55. C2×#930C22semidirect
56. C2×#930C22semidirect
57. C2×#930C22semidirect
58. C2×#929C22semidirect
59. C2×#929C22semidirect
60. C2×C4×#67C22semidirect
62. C22×(C2×D3)⋊C4C22semidirect
63. C22×(C2×D3)⋊C4C22semidirect
64. C22×C4⋊Dic3C22semidirect
66. C2×#898C22semidirect
67. C2×#894C22semidirect
68. C2×#894C22semidirect
69. C2×#885C22semidirect
70. C2×#885C22semidirect
71. C2×#884C22semidirect
72. C2×#884C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#878C22semidirect
78. C2×#878C22semidirect
79. C2×#876C22semidirect
80. C2×#875C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
84. C3×#385C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
87. C3×#379C22semidirect
88. C3×C4×C22⋊C4C22semidirect
89. C3×C4×C22⋊C4C22semidirect
90. C3×C4×C22⋊C4C22semidirect
91. #5247C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
99. #5213C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5211C22semidirect
104. #5211C22semidirect
105. #5210C22semidirect
106. #5210C22semidirect
107. #5210C22semidirect
108. #5210C22semidirect
109. #4994C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4990C22semidirect
113. #4989C22semidirect
114. #4988C22semidirect
115. #4987C22semidirect
116. #4986C22semidirect
117. #4980C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
134. #4958C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4950C22semidirect
151. #4949C22semidirect
152. #4948C22semidirect
153. #4946C22semidirect
154. #4942C22semidirect
155. Dic3×C22⋊C4C22semidirect
156. #4940C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
162. #4939C22semidirect
163. #4939C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. C4×(C2×D3)⋊C4C22semidirect
166. #4676C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4675C22semidirect
170. #4674C22semidirect
171. #4674C22semidirect
172. #4673C22semidirect
173. #4672C22semidirect
174. #4672C22semidirect
175. #4672C22semidirect
176. #4672C22semidirect
177. #4671C22semidirect
178. #4671C22semidirect
179. #4670C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4661C22semidirect
185. #4660C22semidirect
186. #4656C22semidirect
187. #4654C22semidirect
188. #4654C22semidirect
189. #4647C22semidirect
220. C4×#120D3semidirect
326. #930D4semidirect
436. C24×C4C2×D3semidirect
473. C2×C4×D4C2×D3semidirect
474. C2×C4×D4C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
569. #385C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×D3semidirect
582. #379C2×D3semidirect
586. C4×C22⋊C4C2×D3semidirect
587. C4×C22⋊C4C2×D3semidirect
588. C4×C22⋊C4C2×D3semidirect
656. C22×C3×C4C2×D4semidirect
711. C2×#67C2×D4semidirect
834. (C2×D3)⋊C4C2×D4semidirect
840. C4⋊Dic3C2×D4semidirect
1427. C22×C4D3×D4semidirect
1554. C22×C3#538semidirect
1900. C22#5560semidirect
1930. C3#37720semidirect

Maximal subgroups

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

subgroupindex
C22×#9302
C2×#55602
C3×C4×#1202
#840332
#826042
#825822
#824222
#824112
#824072
#823982
D4×(C2×D3)⋊C42
#749172
#749112
#748842
#747982
#747932
#747102
#746382
#745992
#745302
#745122
#745112
#744542
#738542
#738272
#736112
#736032
#736002
#735962
#735942
#734492
#377203