Finite Group Databasebeta

← #11098204

Subgroups — #11098204

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5556C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#82414C211yesmaximal, characteristic, complemented
5#82407C211yesmaximal, characteristic, complemented
6#82403C211yesmaximal, characteristic, complemented
7#82355C211yesmaximal, characteristic, complemented
8#82199C211yesmaximal, characteristic, complemented
9#82194C211yesmaximal, characteristic, complemented
10#82193C211yesmaximal, characteristic, complemented
11C2×#4991C211yesmaximal, characteristic, complemented
12#76266C211yesmaximal, characteristic, complemented
13#76259C211yesmaximal, characteristic, complemented
14#76131C211yesmaximal, characteristic, complemented
15#76113C211yesmaximal, characteristic, complemented
16#74629C211yesmaximal, characteristic, complemented
17#74628C211yesmaximal, characteristic, complemented
18#74602C211yesmaximal, characteristic, complemented
19#74601C211yesmaximal, characteristic, complemented
20#74529C211yesmaximal, characteristic, complemented
21#74509C211yesmaximal, characteristic, complemented
22#74415C211yesmaximal, characteristic, complemented
23#74413C211yesmaximal, characteristic, complemented
24#74374C211yesmaximal, characteristic, complemented
25#74370C211yesmaximal, characteristic, complemented
26#74046C211yesmaximal, characteristic, complemented
27#74034C211yesmaximal, characteristic, complemented
28#74029C211yesmaximal, characteristic, complemented
29#73952C211yesmaximal, characteristic, complemented
30#73816C211yesmaximal, characteristic, complemented
31#73813C211yesmaximal, characteristic, complemented
32#40514—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C22×C3×C4⋊C4C2211yescharacteristic
38C22×C3×C4⋊C4C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic, complemented
48C2×#929C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C22×(C2×D3)⋊C4C2211yescharacteristic
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C2×#924C2211yescharacteristic
56#5560—28no—
57#5556—28no—
58C2×#898C2211yescharacteristic, complemented
59C2×#898C2211yescharacteristic, complemented
60C2×#897C2211yescharacteristic, complemented
61C2×#897C2211yescharacteristic, complemented
62C2×#896C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic
64C2×#895C2211yescharacteristic
65C2×#894C2211yescharacteristic, complemented
66C2×#886C2211yescharacteristic
67C2×#885C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic, complemented
70C2×#883C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#877C2211yescharacteristic
76C2×#876C2211yescharacteristic, complemented
77C2×#876C2211yescharacteristic, complemented
78C2×#875C2211yescharacteristic, complemented
79C2×#872C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#389C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#384C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic
88C3×#380C2211yescharacteristic, complemented
89C3×C4×C4⋊C4C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5212C2211yescharacteristic
97#5212C2211yescharacteristic
98#5212C2211yescharacteristic, complemented
99C2×C3⋊#95C2211yescharacteristic
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4994C2211yescharacteristic, complemented
111#4994C2211yescharacteristic, complemented
112#4994C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4994C2211yescharacteristic, complemented
116#4991C2211yescharacteristic
117#4991C2211yescharacteristic
118#4991C2211yescharacteristic
119#4991C2211yescharacteristic
120#4991C2211yescharacteristic
121#4991C2211yescharacteristic
122#4991C2211yescharacteristic
123#4991C2211yescharacteristic
124#4991C2211yescharacteristic
125#4991C2211yescharacteristic
126#4991C2211yescharacteristic
127#4991C2211yescharacteristic
128#4991C2211yescharacteristic, complemented
129#4991C2211yescharacteristic, complemented
130#4991C2211yescharacteristic, complemented
131#4988C2211yescharacteristic, complemented
132#4988C2211yescharacteristic, complemented
133#4987C2211yescharacteristic, complemented
134#4987C2211yescharacteristic, complemented
135#4984C2211yescharacteristic, complemented
136#4984C2211yescharacteristic, complemented
137#4981C2211yescharacteristic, complemented
138#4981C2211yescharacteristic, complemented
139#4981C2211yescharacteristic, complemented
140#4981C2211yescharacteristic, complemented
141#4981C2211yescharacteristic, complemented
142#4973C2211yescharacteristic, complemented
143#4973C2211yescharacteristic, complemented
144#4961C2211yescharacteristic, complemented
145#4961C2211yescharacteristic, complemented
146#4961C2211yescharacteristic, complemented
147#4961C2211yescharacteristic, complemented
148#4960C2211yescharacteristic
149#4960C2211yescharacteristic
150#4960C2211yescharacteristic, complemented
151#4955C2211yescharacteristic
152#4955C2211yescharacteristic
153#4955C2211yescharacteristic
154#4953C2211yescharacteristic, complemented
155#4950C2211yescharacteristic
156#4950C2211yescharacteristic
157#4943C2211yescharacteristic
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic
163#4939C2211yescharacteristic
164#4939C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4677C2211yescharacteristic, complemented
168#4677C2211yescharacteristic, complemented
169#4673C2211yescharacteristic, complemented
170#4673C2211yescharacteristic, complemented
171#4673C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4671C2211yescharacteristic
175#4671C2211yescharacteristic
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4659C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#538—31no—
192#2823—31no—
193#2813—31no—
194#2727—31no—
195#2712—31no—
196#2705—31no—
197#2702—31no—
198#2681—31no—
199#2676—31no—
200#2672—31no—
201#2671—31no—
202#2662—31no—
203#2630—31no—
204#2626—31no—
205#2620—31no—
206#2618—31no—
207#2601—31no—
208#2534—31no—
209#2534—31no—
210#2438—31no—
211#2437—31no—
212#2425—31no—
213#2424—31no—
214#2417—31no—
215#2416—31no—
216#2411—31no—
217#2410—31no—
218#2408—31no—
219C2×#394—31no—
220D4×C4⋊C4D311yescharacteristic, complemented
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×D12—42no—
239C22×D12—42no—
240C22×D12—42no—
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×C4×D4—42no—
255C3×C4×D4—42no—
256C3×C4×D4D418yescomplemented
257C2×C3×C4⋊C4—42no—
258C2×C3×C4⋊C4—42no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#939—24no—
288#937—24no—
289#937—24no—
290#935—24no—
291#930—24no—
292#930—42no—
293#930—42no—
294#930—42no—
295#929—24no—
296#929—24no—
297C4×#67—24no—
298C4×#67—24no—
299C2×(C2×D3)⋊C4—24no—
300C2×(C2×D3)⋊C4—24no—
301C2×(C2×D3)⋊C4—42no—
302C2×(C2×D3)⋊C4—42no—
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(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×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361#924—24no—
362C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375#898—24no—
376#898—24no—
377#897—42no—
378#897—42no—
379#896—24no—
380#895—42no—
381#895—42no—
382#894—24no—
383#886—42no—
384#885—24no—
385#885—24no—
386#884—24no—
387#883—24no—
388#882—24no—
389#882—42no—
390D3×C22⋊C4—24no—
391#878—24no—
392#877—24no—
393#876—24no—
394#876—24no—
395#875—24no—
396#872—24no—
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C23×D4—31no—
424#551—68no—
425#538—68no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4C2×D311yescharacteristic
459C2×C4×D4C2×D311yescharacteristic
460C2×C4×D4C2×D311yescharacteristic
461C2×#117—31no—
462C2×#117—31no—
463C22×C4⋊C4C2×D311yescharacteristic
464C22×C4⋊C4C2×D311yescharacteristic, complemented
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470#400—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#395—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#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#394—31no—
517#394—31no—
518#393—31no—
519#393—31no—
520#393—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#391—31no—
527#391—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#389—31no—
534#389—31no—
535#389—31no—
536#389C2×D311yescharacteristic, complemented
537#389C2×D311yescharacteristic, complemented
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#387—31no—
547#387—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#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385C2×D311yescharacteristic
563#385C2×D311yescharacteristic
564#385C2×D311yescharacteristic, complemented
565#385C2×D311yescharacteristic, complemented
566#384C2×D311yescharacteristic, complemented
567#381—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380C2×D311yescharacteristic
574#380C2×D311yescharacteristic, complemented
575#379—31no—
576#379—31no—
577#379—31no—
578C4×C4⋊C4C2×D311yescharacteristic, complemented
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4C2×D414yes—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4C2×D414yes—
621C22×C3×C4C2×D414yescomplemented
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—416no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×Dic6—22no—
705C2×Dic6—22no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4—41no—
721C3×C4⋊C4—41no—
722C3×C4⋊C4C2×D414yescomplemented
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4C2×D414yes—
728C3×C22⋊C4C2×D414yescomplemented
729C3×C42—41no—
730C3×C42—41no—
731C3×C42C2×D414yescomplemented
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792C4⋊Dic3—41no—
793C4⋊Dic3—41no—
794C4⋊Dic3—41no—
795C4⋊Dic3—41no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C25—31no—
810C25—31no—
811C22×Q8—31no—
812C22×Q8—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—122no—
828C22×D4—122no—
829C22×D4—122no—
830C22×D4C22×D311yescharacteristic
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4C22×D311yescharacteristic
837C23×C4C22×D311yescharacteristic
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840C23×C4C22×D311yescharacteristic
841C23×C4C22×D311yescharacteristic
842#126—64no—
843#126—64no—
844#126—64no—
845#126—64no—
846#124—64no—
847#124—64no—
848#124—64no—
849#123—64no—
850#123—64no—
851#123—64no—
852#123—64no—
853#123—64no—
854#123—122no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—122no—
859C22⋊Q8—122no—
860#121—64no—
861#121—64no—
862#121—64no—
863#121—122no—
864#121—122no—
865#121—122no—
866#121—122no—
867#121—122no—
868#120—64no—
869#120—64no—
870#120—64no—
871#120—122no—
872C4×D4—42no—
873C4×D4—42no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4D1218yescomplemented
877#117—64no—
878#117—64no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—42no—
902C2×C4⋊C4—42no—
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
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—64no—
969C2×C22⋊C4—64no—
970C2×C22⋊C4—64no—
971C2×C22⋊C4—122no—
972C2×C22⋊C4—122no—
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982C2×C42C22×D311yescharacteristic
983C2×C42C22×D311yescharacteristic
984C2×C42C22×D311yescharacteristic
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3C22×D412yes—
1022C23×C3C22×D412yes—
1023C23×C3H(5,𝔽2)12yes—
1024C23×C32−1+412yes—
1025C23×C3C2511yescharacteristic
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—82no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3—82no—
1072C22×D3—82no—
1073C22×D3—82no—
1074C22×D3H(5,𝔽2)12yes—
1075C3×D4—28no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—44no—
1110C2×C3×C4—44no—
1111C2×C3×C4—44no—
1112C2×C3×C4—82no—
1113C2×C3×C4—82no—
1114C2×C3×C4—82no—
1115C2×C3×C4C22×D412yes—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4C22×D412yes—
1118C2×C3×C4C22×D412yes—
1119C2×C3×C4C22×D412yes—
1120C2×C3×C4H(5,𝔽2)12yes—
1121#67—44no—
1122#67—44no—
1123#67—82no—
1124#67—82no—
1125#67—82no—
1126#67—82no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—44no—
1161C2×Dic3—82no—
1162D12—44no—
1163D12—44no—
1164D12—44no—
1165D12—44no—
1166D12—82no—
1167D12—82no—
1168D12—82no—
1169D12—82no—
1170C4×D3—44no—
1171C4×D3—82no—
1172C4×D3—82no—
1173Dic6—82no—
1174Dic6—82no—
1175C24—31no—
1176C24—31no—
1177C24—31no—
1178C24—31no—
1179C24—31no—
1180C24—62no—
1181C24—62no—
1182C24—62no—
1183C24—62no—
1184C24—62no—
1185C24—62no—
1186C24—62no—
1187C24—121no—
1188C24—121no—
1189C24—121no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24—121no—
1194C24C23×D311yescharacteristic
1195C24C23×D311yescharacteristic
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—121no—
1199C2×Q8—121no—
1200C2×Q8—121no—
1201C2×Q8—121no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—1216no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4C2×D1214yes—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4C2×D1214yes—
1291C22×C4C2×D1214yescomplemented
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4C2×D1214yescomplemented
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4C2×D1214yes—
1397C22⋊C4C2×D1214yescomplemented
1398C42—41no—
1399C42—41no—
1400C42—62no—
1401C42—62no—
1402C42—62no—
1403C42C2×D1214yescomplemented
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—22no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3#53714yes—
1418C22×C3C23×D411yescharacteristic
1419C22×C3C2×H(5,𝔽2)11yescharacteristic
1420C22×C3C2×H(5,𝔽2)11yescharacteristic
1421C22×C3C2×H(5,𝔽2)11yescharacteristic
1422C22×C3C2×2−1+411yescharacteristic
1423C22×C3#58511yescharacteristic
1424C22×C3#58511yescharacteristic
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—22no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—88no—
1461C2×D3—88no—
1462C3×C4—22no—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—32no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—124no—
1532C23—124no—
1533C23—124no—
1534C23—124no—
1535C23—124no—
1536C23—124no—
1537C23—124no—
1538C23—242no—
1539C23—242no—
1540C23—242no—
1541C23—242no—
1542C23—242no—
1543C23—242no—
1544C23—242no—
1545C23C22×D1212yes—
1546C23C22×D1212yes—
1547C23#100412yes—
1548C23#100712yes—
1549C23C24×D311yescharacteristic
1550Q8—242no—
1551Q8—242no—
1552D4—28no—
1553D4—124no—
1554D4—124no—
1555D4—124no—
1556D4—124no—
1557D4—124no—
1558D4—124no—
1559D4—242no—
1560D4—242no—
1561D4—242no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565D4—242no—
1566D4—242no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—82no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—242no—
1642C2×C4—242no—
1643C2×C4—242no—
1644C2×C4C22×D1212yes—
1645C2×C4C22×D1212yes—
1646C2×C4C22×D1212yes—
1647C2×C4C22×D1212yes—
1648C2×C4C22×D1212yes—
1649C2×C4#100412yes—
1650C2×C3—24no—
1651C2×C3—42no—
1652C2×C3C2×#53711yescharacteristic
1653C2×C3#348811yescharacteristic
1654C2×C3#349611yescharacteristic
1655C2×C3#353211yescharacteristic
1656C2×C3#353311yescharacteristic
1657C2×C3#353511yescharacteristic
1658C2×C3#356111yescharacteristic
1659D3—42no—
1660D3—81no—
1661D3—81no—
1662D3—81no—
1663D3—81no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—62no—
1678C22—62no—
1679C22—62no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—121no—
1689C22—121no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—248no—
1713C22—248no—
1714C22#551014yes—
1715C22C23×D1211yescharacteristic
1716C22C2×#100411yescharacteristic
1717C22C2×#100411yescharacteristic
1718C22C2×#100711yescharacteristic
1719C22#596411yescharacteristic
1720C22D3×H(5,𝔽2)11yescharacteristic
1721C22#596811yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—121no—
1736C4—121no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C3#4051411yescharacteristic, complemented, Sylow
1747C2—24no—
1748C2—42no—
1749C2—122no—
1750C2—241no—
1751C2—241no—
1752C2—241no—
1753C2—241no—
1754C2C2×#551011yescharacteristic
1755C2#8578611yescharacteristic
1756C2#8590011yescharacteristic
1757C2#8662211yescharacteristic
1758C2#8670411yescharacteristic
1759C2#8675711yescharacteristic
1760C2#8695111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C4⋊C4C2
hypercenterD4×C4⋊C4D3
hypocenterC3#40514
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#5556C2semidirect
2. C2×#5560C2semidirect
3. C3×D4×C4⋊C4C2semidirect
4. #82414C2semidirect
5. #82407C2semidirect
6. #82403C2semidirect
7. #82355C2semidirect
8. #82199C2semidirect
9. #82194C2semidirect
10. #82193C2semidirect
11. C2×#4991C2semidirect
12. #76266C2semidirect
13. #76259C2semidirect
14. #76131C2semidirect
15. #76113C2semidirect
16. #74629C2semidirect
17. #74628C2semidirect
18. #74602C2semidirect
19. #74601C2semidirect
20. #74529C2semidirect
21. #74509C2semidirect
22. #74415C2semidirect
23. #74413C2semidirect
24. #74374C2semidirect
25. #74370C2semidirect
26. #74046C2semidirect
27. #74034C2semidirect
28. #74029C2semidirect
29. #73952C2semidirect
30. #73816C2semidirect
31. #73813C2semidirect
38. C22×C3×C4⋊C4C22semidirect
45. C2×#930C22semidirect
46. C2×#930C22semidirect
47. C2×#929C22semidirect
48. C2×#929C22semidirect
50. C2×C4×#67C22semidirect
58. C2×#898C22semidirect
59. C2×#898C22semidirect
60. C2×#897C22semidirect
61. C2×#897C22semidirect
62. C2×#896C22semidirect
65. C2×#894C22semidirect
67. C2×#885C22semidirect
68. C2×#885C22semidirect
69. C2×#884C22semidirect
70. C2×#883C22semidirect
76. C2×#876C22semidirect
77. C2×#876C22semidirect
78. C2×#875C22semidirect
79. C2×#872C22semidirect
80. C3×#389C22semidirect
81. C3×#389C22semidirect
84. C3×#385C22semidirect
85. C3×#385C22semidirect
86. C3×#384C22semidirect
88. C3×#380C22semidirect
89. C3×C4×C4⋊C4C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
98. #5212C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4994C22semidirect
105. #4994C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4994C22semidirect
109. #4994C22semidirect
110. #4994C22semidirect
111. #4994C22semidirect
112. #4994C22semidirect
113. #4994C22semidirect
114. #4994C22semidirect
115. #4994C22semidirect
128. #4991C22semidirect
129. #4991C22semidirect
130. #4991C22semidirect
131. #4988C22semidirect
132. #4988C22semidirect
133. #4987C22semidirect
134. #4987C22semidirect
135. #4984C22semidirect
136. #4984C22semidirect
137. #4981C22semidirect
138. #4981C22semidirect
139. #4981C22semidirect
140. #4981C22semidirect
141. #4981C22semidirect
142. #4973C22semidirect
143. #4973C22semidirect
144. #4961C22semidirect
145. #4961C22semidirect
146. #4961C22semidirect
147. #4961C22semidirect
150. #4960C22semidirect
154. #4953C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
164. #4939C22semidirect
165. #4928C22semidirect
166. #4677C22semidirect
167. #4677C22semidirect
168. #4677C22semidirect
169. #4673C22semidirect
170. #4673C22semidirect
171. #4673C22semidirect
172. #4672C22semidirect
173. #4672C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4670C22semidirect
179. #4670C22semidirect
180. #4668C22semidirect
181. #4668C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4659C22semidirect
187. #4656C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
220. D4×C4⋊C4D3semidirect
256. C3×C4×D4D4semidirect
464. C22×C4⋊C4C2×D3semidirect
536. #389C2×D3semidirect
537. #389C2×D3semidirect
564. #385C2×D3semidirect
565. #385C2×D3semidirect
566. #384C2×D3semidirect
574. #380C2×D3semidirect
578. C4×C4⋊C4C2×D3semidirect
621. C22×C3×C4C2×D4semidirect
722. C3×C4⋊C4C2×D4semidirect
728. C3×C22⋊C4C2×D4semidirect
731. C3×C42C2×D4semidirect
876. C4×D4D12semidirect
1291. C22×C4C2×D12semidirect
1339. C4⋊C4C2×D12semidirect
1397. C22⋊C4C2×D12semidirect
1403. C42C2×D12semidirect
1746. C3#40514semidirect

Maximal subgroups

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

subgroupindex
C2×#55562
C2×#55602
C3×D4×C4⋊C42
#824142
#824072
#824032
#823552
#821992
#821942
#821932
C2×#49912
#762662
#762592
#761312
#761132
#746292
#746282
#746022
#746012
#745292
#745092
#744152
#744132
#743742
#743702
#740462
#740342
#740292
#739522
#738162
#738132
#405143