Finite Group Databasebeta

← #11098235

Subgroups — #11098235

Order 768.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5560C211yesmaximal, characteristic, complemented
2C2×#5540C211yesmaximal, characteristic, complemented
3C3×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#82407C211yesmaximal, characteristic, complemented
5#82407C211yesmaximal, characteristic, complemented
6#82380C211yesmaximal, characteristic, complemented
7#82352C211yesmaximal, characteristic, complemented
8#82199C211yesmaximal, characteristic, complemented
9#82193C211yesmaximal, characteristic, complemented
10#82193C211yesmaximal, characteristic, complemented
11C2×#4994C211yesmaximal, characteristic, complemented
12#76260C211yesmaximal, characteristic, complemented
13#76123C211yesmaximal, characteristic, complemented
14#76114C211yesmaximal, characteristic, complemented
15#76113C211yesmaximal, characteristic, complemented
16#74635C211yesmaximal, characteristic, complemented
17#74630C211yesmaximal, characteristic, complemented
18#74605C211yesmaximal, characteristic, complemented
19#74605C211yesmaximal, characteristic, complemented
20#74531C211yesmaximal, characteristic, complemented
21#74509C211yesmaximal, characteristic, complemented
22#74424C211yesmaximal, characteristic, complemented
23#74422C211yesmaximal, characteristic, complemented
24#74374C211yesmaximal, characteristic, complemented
25#74370C211yesmaximal, characteristic, complemented
26#74046C211yesmaximal, characteristic, complemented
27#74034C211yesmaximal, characteristic, complemented
28#74031C211yesmaximal, characteristic, complemented
29#73949C211yesmaximal, characteristic, complemented
30#73816C211yesmaximal, characteristic, complemented
31#73813C211yesmaximal, characteristic, complemented
32#40515—31nomaximal, Sylow
33C2×C3×C4×D4C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C22×C3×C4⋊C4C2211yescharacteristic
37C22×C3×C4⋊C4C2211yescharacteristic, complemented
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic, complemented
49C2×#929C2211yescharacteristic
50C2×#929C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C22×C4⋊Dic3C2211yescharacteristic
57C22×Dic3⋊C4C2211yescharacteristic
58#5560—28no—
59#5540—28no—
60C2×#898C2211yescharacteristic
61C2×#897C2211yescharacteristic, complemented
62C2×#895C2211yescharacteristic
63C2×#895C2211yescharacteristic
64C2×#895C2211yescharacteristic, complemented
65C2×#894C2211yescharacteristic
66C2×#894C2211yescharacteristic, complemented
67C2×#889C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#879C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic
78C2×#876C2211yescharacteristic
79C2×#876C2211yescharacteristic, complemented
80C2×#875C2211yescharacteristic
81C2×#872C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#385C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88C3×#384C2211yescharacteristic, complemented
89C3×#380C2211yescharacteristic
90C3×#380C2211yescharacteristic, complemented
91C3×C4×C4⋊C4C2211yescharacteristic, complemented
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5212C2211yescharacteristic, complemented
99C2×C3⋊#95C2211yescharacteristic
100#4994C2211yescharacteristic
101#4994C2211yescharacteristic
102#4994C2211yescharacteristic
103#4994C2211yescharacteristic
104#4994C2211yescharacteristic
105#4994C2211yescharacteristic
106#4994C2211yescharacteristic
107#4994C2211yescharacteristic
108#4994C2211yescharacteristic
109#4994C2211yescharacteristic
110#4994C2211yescharacteristic
111#4994C2211yescharacteristic
112#4994C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4994C2211yescharacteristic, complemented
116#4994C2211yescharacteristic, complemented
117#4994C2211yescharacteristic, complemented
118#4994C2211yescharacteristic, complemented
119#4994C2211yescharacteristic, complemented
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
132#4988C2211yescharacteristic
133#4988C2211yescharacteristic, complemented
134#4987C2211yescharacteristic, complemented
135#4987C2211yescharacteristic, complemented
136#4984C2211yescharacteristic, complemented
137#4984C2211yescharacteristic, complemented
138#4981C2211yescharacteristic, complemented
139#4981C2211yescharacteristic, complemented
140#4981C2211yescharacteristic, complemented
141#4981C2211yescharacteristic, complemented
142#4981C2211yescharacteristic, complemented
143#4973C2211yescharacteristic, complemented
144#4961C2211yescharacteristic
145#4961C2211yescharacteristic
146#4961C2211yescharacteristic, complemented
147#4961C2211yescharacteristic, complemented
148#4960C2211yescharacteristic
149#4960C2211yescharacteristic
150#4960C2211yescharacteristic, complemented
151#4958C2211yescharacteristic
152#4958C2211yescharacteristic
153#4958C2211yescharacteristic
154#4958C2211yescharacteristic
155#4953C2211yescharacteristic, complemented
156#4950C2211yescharacteristic
157#4950C2211yescharacteristic
158#4940C2211yescharacteristic
159#4940C2211yescharacteristic
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic
163#4939C2211yescharacteristic
164#4939C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4674C2211yescharacteristic
168#4674C2211yescharacteristic
169#4673C2211yescharacteristic, complemented
170#4672C2211yescharacteristic
171#4672C2211yescharacteristic
172#4671C2211yescharacteristic
173#4671C2211yescharacteristic
174#4671C2211yescharacteristic
175#4671C2211yescharacteristic
176#4670C2211yescharacteristic
177#4670C2211yescharacteristic
178#4668C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic
184#4659C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#538—31no—
192#2823—31no—
193#2813—31no—
194#2725—31no—
195#2715—31no—
196#2707—31no—
197#2705—31no—
198#2691—31no—
199#2682—31no—
200#2676—31no—
201#2675—31no—
202#2662—31no—
203#2630—31no—
204#2620—31no—
205#2618—31no—
206#2617—31no—
207#2601—31no—
208#2579—31no—
209#2543—31no—
210#2450—31no—
211#2449—31no—
212#2424—31no—
213#2424—31no—
214#2424—31no—
215#2424—31no—
216#2416—31no—
217#2416—31no—
218#2416—31no—
219C2×#396—31no—
220D4×C4⋊C4D311yescharacteristic, complemented
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C22×D12C2311yescharacteristic
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
253C3×C4×D4—42no—
254C3×C4×D4—42no—
255C3×C4×D4D418yescomplemented
256C2×C3×C4⋊C4—42no—
257C2×C3×C4⋊C4—42no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284#939—24no—
285#939—24no—
286#939—24no—
287#937—24no—
288#930—24no—
289#930—24no—
290#930—42no—
291#930—42no—
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—42no—
301C2×(C2×D3)⋊C4—42no—
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×C4⋊Dic3—42no—
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4—24no—
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
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#897—42no—
377#895—42no—
378#895—42no—
379#895—42no—
380#894—24no—
381#894—24no—
382#889—24no—
383#885—24no—
384#884—24no—
385#884—24no—
386#882—24no—
387#882—42no—
388#882—42no—
389#67⋊C4—24no—
390#67⋊C4—24no—
391#879—24no—
392#878—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
423#553—68no—
424#538—68no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#125—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—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×#121—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4C2×D311yescharacteristic
462C2×C4×D4C2×D311yescharacteristic
463C2×C4×D4C2×D311yescharacteristic
464C2×#117—31no—
465C22×C4⋊C4—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4C2×D311yescharacteristic
468C22×C4⋊C4C2×D311yescharacteristic, complemented
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#400—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#397—31no—
481#397—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#396—31no—
497#396—31no—
498#396—31no—
499#396—31no—
500#396—31no—
501#396—31no—
502#395—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#394—31no—
519#394—31no—
520#393—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#391—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#389—31no—
536#389—31no—
537#389—31no—
538#389C2×D311yescharacteristic, complemented
539#389C2×D311yescharacteristic, complemented
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#387—31no—
549#387—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#386—31no—
560#386—31no—
561#386—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385C2×D311yescharacteristic
569#385C2×D311yescharacteristic
570#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#384C2×D311yescharacteristic, complemented
573#380—31no—
574#380—31no—
575#380—31no—
576#380C2×D311yescharacteristic
577#380C2×D311yescharacteristic, complemented
578C4×C4⋊C4C2×D311yescharacteristic, complemented
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4C2×D414yes—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4C2×D414yes—
614C22×C3×C4C2×D414yes—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—41no—
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—41no—
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×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×Dic6—22no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
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⋊C4—41no—
723C3×C4⋊C4C2×D414yes—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4C2×D414yes—
729C3×C22⋊C4C2×D414yes—
730C3×C42—41no—
731C3×C42—41no—
732C3×C42C2×D414yes—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—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—41no—
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—
781C4⋊Dic3—22no—
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792C4⋊Dic3—41no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
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—
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C25—31no—
809C22×Q8—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—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×D4C22×D311yescharacteristic
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837C23×C4C22×D311yescharacteristic
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840#126—64no—
841#126—64no—
842#126—64no—
843#126—64no—
844#125—64no—
845#124—64no—
846#124—64no—
847#123—64no—
848#123—64no—
849#123—64no—
850#123—64no—
851C22⋊Q8—64no—
852C22⋊Q8—122no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—64no—
859#121—64no—
860#121—122no—
861#121—122no—
862#121—122no—
863#121—122no—
864#121—122no—
865#121—122no—
866#121—122no—
867#121—122no—
868#120—64no—
869#120—64no—
870#120—122no—
871#120—122no—
872C4×D4—42no—
873C4×D4—42no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—64no—
878C4×D4D1218yescomplemented
879#117—64no—
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—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—42no—
905C2×C4⋊C4—42no—
906C2×C4⋊C4—64no—
907C2×C4⋊C4—122no—
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×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
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—31no—
969C2×C22⋊C4—64no—
970C2×C22⋊C4—122no—
971C2×C22⋊C4—122no—
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C42—31no—
979C2×C42—31no—
980C2×C42—31no—
981C2×C42C22×D311yescharacteristic
982C2×C42C22×D311yescharacteristic
983C2×C42C22×D311yescharacteristic
984#95—31no—
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#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010C23×C3—21no—
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×C3C22×D412yes—
1021C23×C3C22×D412yes—
1022C23×C3H(5,𝔽2)12yes—
1023C23×C32−1+412yes—
1024C23×C3C2511yescharacteristic
1025C22×D3—21no—
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—82no—
1064C22×D3—82no—
1065C22×D3—82no—
1066C22×D3—82no—
1067C3×D4—28no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—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—44no—
1102C2×C3×C4—44no—
1103C2×C3×C4—44no—
1104C2×C3×C4—82no—
1105C2×C3×C4—82no—
1106C2×C3×C4—82no—
1107C2×C3×C4C22×D412yes—
1108C2×C3×C4C22×D412yes—
1109C2×C3×C4C22×D412yes—
1110C2×C3×C4C22×D412yes—
1111C2×C3×C4C22×D412yes—
1112C2×C3×C4H(5,𝔽2)12yes—
1113#67—44no—
1114#67—44no—
1115#67—44no—
1116#67—44no—
1117#67—82no—
1118#67—82no—
1119#67—82no—
1120#67—82no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
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—44no—
1154C2×Dic3—82no—
1155C2×Dic3—82no—
1156C2×Dic3H(5,𝔽2)12yes—
1157D12—82no—
1158D12—82no—
1159D12—82no—
1160D12—82no—
1161D12—82no—
1162D12—82no—
1163D12—82no—
1164D12—82no—
1165D12—82no—
1166C4×D3—44no—
1167C4×D3—82no—
1168C4×D3—82no—
1169Dic6—82no—
1170C24—31no—
1171C24—31no—
1172C24—31no—
1173C24—31no—
1174C24—31no—
1175C24—62no—
1176C24—62no—
1177C24—62no—
1178C24—121no—
1179C24—121no—
1180C24—121no—
1181C24—121no—
1182C24C23×D311yescharacteristic
1183C24C23×D311yescharacteristic
1184C2×Q8—62no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
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—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4C2×D1214yes—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4C2×D1214yes—
1287C22×C4C2×D1214yes—
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
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
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
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⋊C4C2×D1214yes—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
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—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
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⋊C4C2×D1214yes—
1391C22⋊C4C2×D1214yes—
1392C42—41no—
1393C42—41no—
1394C42—62no—
1395C42—62no—
1396C42—62no—
1397C42C2×D1214yes—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—22no—
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3#53714yes—
1412C22×C3C23×D411yescharacteristic
1413C22×C3C2×H(5,𝔽2)11yescharacteristic
1414C22×C3C2×H(5,𝔽2)11yescharacteristic
1415C22×C3C2×H(5,𝔽2)11yescharacteristic
1416C22×C3C2×2−1+411yescharacteristic
1417C22×C3#58511yescharacteristic
1418C22×C3#58511yescharacteristic
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
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—88no—
1455C3×C4—22no—
1456C3×C4—22no—
1457C3×C4—22no—
1458C3×C4—22no—
1459C3×C4—22no—
1460C3×C4—22no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468Dic3—22no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
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—124no—
1525C23—124no—
1526C23—124no—
1527C23—242no—
1528C23—242no—
1529C23—242no—
1530C23—242no—
1531C23C22×D1212yes—
1532C23C22×D1212yes—
1533C23#100412yes—
1534C23#100712yes—
1535C23C24×D311yescharacteristic
1536Q8—242no—
1537D4—28no—
1538D4—124no—
1539D4—124no—
1540D4—124no—
1541D4—124no—
1542D4—242no—
1543D4—242no—
1544D4—242no—
1545D4—242no—
1546D4—242no—
1547D4—242no—
1548D4—242no—
1549D4—242no—
1550D4—242no—
1551D4—242no—
1552D4—242no—
1553D4—242no—
1554D4—242no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
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—32no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
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—82no—
1625C2×C4—82no—
1626C2×C4—82no—
1627C2×C4—124no—
1628C2×C4—124no—
1629C2×C4—242no—
1630C2×C4—242no—
1631C2×C4—242no—
1632C2×C4—242no—
1633C2×C4C22×D1212yes—
1634C2×C4C22×D1212yes—
1635C2×C4C22×D1212yes—
1636C2×C4C22×D1212yes—
1637C2×C4C22×D1212yes—
1638C2×C4#100412yes—
1639C2×C3—24no—
1640C2×C3—42no—
1641C2×C3C2×#53711yescharacteristic
1642C2×C3#348811yescharacteristic
1643C2×C3#349611yescharacteristic
1644C2×C3#353711yescharacteristic
1645C2×C3#354111yescharacteristic
1646C2×C3#354111yescharacteristic
1647C2×C3#356011yescharacteristic
1648D3—81no—
1649D3—81no—
1650D3—81no—
1651D3—81no—
1652D3—81no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
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—248no—
1702C22#551014yes—
1703C22C23×D1211yescharacteristic
1704C22C2×#100411yescharacteristic
1705C22C2×#100411yescharacteristic
1706C22C2×#100711yescharacteristic
1707C22#596411yescharacteristic
1708C22D3×H(5,𝔽2)11yescharacteristic
1709C22#596811yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—62no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C4—121no—
1733C4—121no—
1734C3#4051511yescharacteristic, complemented, Sylow
1735C2—24no—
1736C2—42no—
1737C2—241no—
1738C2—241no—
1739C2—241no—
1740C2—241no—
1741C2—241no—
1742C2C2×#551011yescharacteristic
1743C2#8578611yescharacteristic
1744C2#8590011yescharacteristic
1745C2#8661411yescharacteristic
1746C2#8669711yescharacteristic
1747C2#8675411yescharacteristic
1748C2#8693811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C4⋊C4C2
hypercenterD4×C4⋊C4D3
hypocenterC3#40515
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×#5560C2semidirect
2. C2×#5540C2semidirect
3. C3×D4×C4⋊C4C2semidirect
4. #82407C2semidirect
5. #82407C2semidirect
6. #82380C2semidirect
7. #82352C2semidirect
8. #82199C2semidirect
9. #82193C2semidirect
10. #82193C2semidirect
11. C2×#4994C2semidirect
12. #76260C2semidirect
13. #76123C2semidirect
14. #76114C2semidirect
15. #76113C2semidirect
16. #74635C2semidirect
17. #74630C2semidirect
18. #74605C2semidirect
19. #74605C2semidirect
20. #74531C2semidirect
21. #74509C2semidirect
22. #74424C2semidirect
23. #74422C2semidirect
24. #74374C2semidirect
25. #74370C2semidirect
26. #74046C2semidirect
27. #74034C2semidirect
28. #74031C2semidirect
29. #73949C2semidirect
30. #73816C2semidirect
31. #73813C2semidirect
37. C22×C3×C4⋊C4C22semidirect
48. C2×#930C22semidirect
50. C2×#929C22semidirect
52. C2×C4×#67C22semidirect
61. C2×#897C22semidirect
64. C2×#895C22semidirect
66. C2×#894C22semidirect
67. C2×#889C22semidirect
70. C2×#884C22semidirect
76. C2×#879C22semidirect
79. C2×#876C22semidirect
81. C2×#872C22semidirect
82. C3×#389C22semidirect
83. C3×#389C22semidirect
86. C3×#385C22semidirect
87. C3×#385C22semidirect
88. C3×#384C22semidirect
90. C3×#380C22semidirect
91. C3×C4×C4⋊C4C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5212C22semidirect
112. #4994C22semidirect
113. #4994C22semidirect
114. #4994C22semidirect
115. #4994C22semidirect
116. #4994C22semidirect
117. #4994C22semidirect
118. #4994C22semidirect
119. #4994C22semidirect
128. #4991C22semidirect
129. #4991C22semidirect
130. #4991C22semidirect
133. #4988C22semidirect
134. #4987C22semidirect
135. #4987C22semidirect
136. #4984C22semidirect
137. #4984C22semidirect
138. #4981C22semidirect
139. #4981C22semidirect
140. #4981C22semidirect
141. #4981C22semidirect
142. #4981C22semidirect
143. #4973C22semidirect
146. #4961C22semidirect
147. #4961C22semidirect
150. #4960C22semidirect
155. #4953C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
164. #4939C22semidirect
165. #4928C22semidirect
166. #4677C22semidirect
169. #4673C22semidirect
178. #4668C22semidirect
179. #4668C22semidirect
180. #4668C22semidirect
181. #4668C22semidirect
184. #4659C22semidirect
185. #4656C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
220. D4×C4⋊C4D3semidirect
255. C3×C4×D4D4semidirect
468. C22×C4⋊C4C2×D3semidirect
538. #389C2×D3semidirect
539. #389C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×D3semidirect
572. #384C2×D3semidirect
577. #380C2×D3semidirect
578. C4×C4⋊C4C2×D3semidirect
878. C4×D4D12semidirect
1734. C3#40515semidirect

Maximal subgroups

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

subgroupindex
C2×#55602
C2×#55402
C3×D4×C4⋊C42
#824072
#823802
#823522
#821992
#821932
C2×#49942
#762602
#761232
#761142
#761132
#746352
#746302
#746052
#745312
#745092
#744242
#744222
#743742
#743702
#740462
#740342
#740312
#739492
#738162
#738132
#405153